#  @professorleonard Professor Leonard Professor Leonard posts on YouTube about how to, math, patreon, study the most. They currently have [---------] followers and [---] posts still getting attention that total [------] engagements in the last [--] hours. ### Engagements: [------] [#](/creator/youtube::UCoHhuummRZaIVX7bD4t2czg/interactions)  - [--] Week [------] +4.10% - [--] Month [-------] -0.41% - [--] Months [---------] +68% - [--] Year [---------] +679% ### Mentions: [--] [#](/creator/youtube::UCoHhuummRZaIVX7bD4t2czg/posts_active)  - [--] Month [--] -20% - [--] Months [---] +49% - [--] Year [---] +334% ### Followers: [---------] [#](/creator/youtube::UCoHhuummRZaIVX7bD4t2czg/followers)  - [--] Week [---------] no change - [--] Month [---------] +1.80% - [--] Months [---------] +9.80% - [--] Year [---------] +17% ### CreatorRank: [-------] [#](/creator/youtube::UCoHhuummRZaIVX7bD4t2czg/influencer_rank)  ### Social Influence **Social category influence** [finance](/list/finance) **Social topic influence** [how to](/topic/how-to), [math](/topic/math) #701, [patreon](/topic/patreon), [study](/topic/study) #1862, [to the](/topic/to-the), [solve](/topic/solve), [angle](/topic/angle) #407, [domain](/topic/domain), [derivatives](/topic/derivatives) #71, [in the](/topic/in-the) ### Top Social Posts Top posts by engagements in the last [--] hours "Calculus [--] Lecture 1.1: An Introduction to Limits https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 1.1: An Introduction to Limits Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Limit Calculus (Field Of Study) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Limit Calculus (Field Of Study)" [YouTube Link](https://youtube.com/watch?v=54_XRjHhZzI) 2012-08-22T21:22Z 1.1M followers, 3.6M engagements "Statistics Lecture 1.1: The Key Words and Definitions For Elementary Statistics https://www.patreon.com/ProfessorLeonard Statistics Lecture 1.1: The Key Words and Definitions For Elementary Statistics Professor Leonard Statistics (Field Of Study) Lecture (Type Of Public Presentation) Math Definition (Quotation Subject) Professor Leonard Statistics (Field Of Study) Lecture (Type Of Public Presentation) Math Definition (Quotation Subject)" [YouTube Link](https://youtube.com/watch?v=9FtHB7V14Fo) 2011-12-08T20:31Z 1.1M followers, 1.1M engagements "One to One Functions (Precalculus - College Algebra 50) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com What one-to-one functions are how to determine one-to-one-ness and why they are important to inverse functions Math Leonard Professor Leonard Precalculus College Algebra One-to-One Function Inverse Math Leonard Professor Leonard Precalculus College Algebra One-to-One Function Inverse" [YouTube Link](https://youtube.com/watch?v=C0Q_m2UDerc) 2020-10-26T17:24Z 1.1M followers, 79.3K engagements "Calculus [--] Lecture 7.1: Integration By Parts Calculus [--] Lecture 7.1: Integration By Parts Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Integration By Parts Robot Math Integral (Literature Subject) Calculus (Field Of Study) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Integration By Parts Robot Math Integral (Literature Subject) Calculus (Field Of Study)" [YouTube Link](https://youtube.com/watch?v=EOwjiFpDY_s) 2014-02-13T02:13Z 1.1M followers, 878.4K engagements "Power Functions (Precalculus - College Algebra 28) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com A quick study of Power Functions and how they will be used to determine End-Behavior of Polynomials. Leonard Professor Leonard Math Precalculus College Algebra Polynomial Power Function End Behavior Leonard Professor Leonard Math Precalculus College Algebra Polynomial Power Function End Behavior" [YouTube Link](https://youtube.com/watch?v=FXTlAPOBA_U) 2020-08-24T19:32Z 1.1M followers, 95.2K engagements "Introduction to Functions (Precalculus - College Algebra 2) Support: https://professor-leonard.myshopify.com/ Cool Mathy Merch: https://professor-leonard.myshopify.com/ What Functions are and how we can determine when a relationship is a function and when it is not. Math Leonard Professor Leonard Precalculus College Algebra Function Dependent Variable Independent Variable Domain Range Math Leonard Professor Leonard Precalculus College Algebra Function Dependent Variable Independent Variable Domain Range" [YouTube Link](https://youtube.com/watch?v=FkUEsP9efFg) 2019-08-28T16:53Z 1.1M followers, 592.3K engagements "Calculus [--] Lecture 9.1: Convergence and Divergence of Sequences Calculus [--] Lecture 9.1: Convergence and Divergence of Sequences Calculus (Concepts/Theories) Divergence Lecture (Type Of Public Presentation) Leonard Sequences Calculus (Field Of Study) Math Calculus (Concepts/Theories) Divergence Lecture (Type Of Public Presentation) Leonard Sequences Calculus (Field Of Study) Math" [YouTube Link](https://youtube.com/watch?v=FoNLQvf4NUs) 2014-03-25T03:31Z 1.1M followers, 1.4M engagements "Calculus [--] Lecture 1.5: Slope of a Curve Velocity and Rates of Change https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 1.5: Slope of a Curve Velocity and Rates of Change Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Slope (Dimension) Math Curve Calculus (Field Of Study) Velocity (Dimension) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Slope (Dimension) Math Curve Calculus (Field Of Study) Velocity (Dimension)" [YouTube Link](https://youtube.com/watch?v=PqQ5v94_NGM) 2012-08-28T01:20Z 1.1M followers, 517.5K engagements "Calculus [--] Lecture 9.9: Approximation of Functions by Taylor Polynomials Calculus [--] Lecture 9.9: Approximation of Functions by Taylor Polynomials Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Math Taylor Taylor Series (Mathematical Concept) Polynomial Calculus (Field Of Study) Taylor's Theorem Function (Literature Subject) Function Approximation Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Math Taylor Taylor Series (Mathematical Concept) Polynomial Calculus (Field Of Study) Taylor's Theorem Function (Literature Subject) Function" [YouTube Link](https://youtube.com/watch?v=RbreIk02B3c) 2014-04-30T00:44Z 1.1M followers, 357.7K engagements "Calculus [--] Lecture 1.2: Properties of Limits. Techniques of Limit Computation https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 1.2: Properties of Limits. Techniques of Limit Computation Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Limit Limit Of A Function Calculus (Field Of Study) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Limit Limit Of A Function Calculus (Field Of Study)" [YouTube Link](https://youtube.com/watch?v=VSqOZNULRjQ) 2012-08-23T02:08Z 1.1M followers, 1.9M engagements "How to Prove Trigonometric Identities (Precalculus - Trigonometry 24) A very in-depth look at proving trigonometric identities. Several techniques are explored in many different examples of solving trig functions. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=az_veh1FLbo) 2021-09-20T21:24Z 1.1M followers, 73.1K engagements "Calculus [--] Lecture 4.1: An Introduction to the Indefinite Integral Calculus [--] Lecture 4.1: An Introduction to the Indefinite Integral Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Antiderivative Integral (Literature Subject) Calculus (Field Of Study) Math Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Antiderivative Integral (Literature Subject) Calculus (Field Of Study) Math" [YouTube Link](https://youtube.com/watch?v=b2ZFpE_yrLg) 2014-01-21T23:14Z 1.1M followers, 861.4K engagements "How to Study for Math (TTP Video 1) https://www.patreon.com/ProfessorLeonard Study tips which WILL help you to be more successful in mathematics. These come from real research and my own experience. Enjoy" [YouTube Link](https://youtube.com/watch?v=cqk4vcuKoBQ) 2017-08-16T19:21Z 1.1M followers, 322.5K engagements "Introduction to Linear Differential Equations and Integrating Factors (Differential Equations 15) https://www.patreon.com/ProfessorLeonard How to solve Linear First Order Differential Equations and the theory behind the technique of using an Integrating Factor. Math Leonard Differential Equations Linear Linear Differential Equations First order Math Leonard Differential Equations Linear Linear Differential Equations First order" [YouTube Link](https://youtube.com/watch?v=kATxKuVSc9I) 2018-10-22T19:48Z 1.1M followers, 359.1K engagements "Calculus [--] Lecture 3.3: The First Derivative Test for Increasing and Decreasing Calculus [--] Lecture 3.3: The First Derivative Test for Increasing and Decreasing of Functions Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) First Derivative Test Math Calculus (Field Of Study) Second Derivative Test Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) First Derivative Test Math Calculus (Field Of Study) Second Derivative Test" [YouTube Link](https://youtube.com/watch?v=nQ6tOORDQ3I) 2014-01-16T18:09Z 1.1M followers, 266.9K engagements "Calculus [--] Lecture 13.9: Constrained Optimization with LaGrange Multipliers Calculus [--] Lecture 13.9: Constrained Optimization with LaGrange Multipliers: How to use the Gradient and LaGrange Multipliers to perform Optimization with constraints on Multivariable Functions. Math Calculus Calculus [--] Leonard Professor Leonard Mulitvariable Function Optimization Constrained Gradient LaGrange Multiplier LaGrange Multiplier Constrained Optimization Math Calculus Calculus [--] Leonard Professor Leonard Mulitvariable Function Optimization Constrained Gradient LaGrange Multiplier LaGrange Multiplier" [YouTube Link](https://youtube.com/watch?v=nUfYR5FBGZc) 2016-04-15T20:18Z 1.1M followers, 395.1K engagements "Calculus [--] Lecture 6.2: Derivatives of Inverse Functions Calculus [--] Lecture 6.2: Derivatives of Inverse Functions Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Derivative Inverse Function Math Inverse Functions And Differentiation Calculus (Field Of Study) Function (Literature Subject) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Derivative Inverse Function Math Inverse Functions And Differentiation Calculus (Field Of Study) Function (Literature Subject)" [YouTube Link](https://youtube.com/watch?v=HnsUNWNYZ28) 2014-01-22T19:09Z 1.1M followers, 412.6K engagements "Calculus [--] Lecture 13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.) Calculus [--] Lecture 13.2: Limits and Continuity of Multivariable Functions: How to show a limit exits or Does Not Exist for Multivariable Functions (including Squeeze Theorem). Also how to determine regions of continuity. Calculus Calculus [--] Math Professor Leonard Leonard Multivariable Function Squeeze Theorem Limit Limits Continuity Calculus Calculus [--] Math Professor Leonard Leonard Multivariable Function Squeeze Theorem Limit Limits Continuity" [YouTube Link](https://youtube.com/watch?v=MFF4mvyhAyA) 2016-03-10T18:33Z 1.1M followers, 667.6K engagements "Calculus [--] Lecture 13.6: Finding Directional Derivatives and Gradients Calculus [--] Lecture 13.6: Finding Directional Derivatives and Gradients: How to find a Directional Derivative along the path of any given vector. Also an introduction to the Gradient and some basics on how it is used. Leonard Professor Leonard Calculus Calculus [--] Math Vector Gradient Derivative Directional Derivative Leonard Professor Leonard Calculus Calculus [--] Math Vector Gradient Derivative Directional Derivative" [YouTube Link](https://youtube.com/watch?v=tDPp5uWSIiU) 2016-04-02T18:45Z 1.1M followers, 477.6K engagements "Proving the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 27) The proofs of Double Angle Formulas and Half Angle Formulas for Sine Cosine and Tangent. These proofs help understand where these formulas come from and will also help in developing future identities. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=Epa2mi8hzBA) 2021-10-27T21:25Z 1.1M followers, 54.6K engagements "How to Solve Bernoulli Differential Equations (Differential Equations 23) https://www.patreon.com/ProfessorLeonard An explanation on how to solve Bernoulli Differential Equations with substitutions and several examples. Math Professor Leonard Differential Equations Solve Bernoulli Equations Math Professor Leonard Differential Equations Solve Bernoulli Equations" [YouTube Link](https://youtube.com/watch?v=NjIMGAIPbzg) 2018-12-03T21:46Z 1.1M followers, 244.6K engagements "Simple Harmonic Motion in Trig (Precalculus - Trigonometry 35) A brief discussion of Simple Harmonic Motion how it is related to Sine and Cosine and the functional models it creates. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=qTXlBIgny10) 2021-11-17T16:00Z 1.1M followers, 39.9K engagements "Calculus [--] Lecture 11.1: An Introduction to Vectors Calculus [--] Lecture 11.1: An Introduction to Vectors: Discovering Vectors with focus on adding subtracting position vectors unit vectors and magnitude. magnitude vector calculus position vector unit vector math professor leonard magnitude vector calculus position vector unit vector math professor leonard" [YouTube Link](https://youtube.com/watch?v=tGVnBAHLApA) 2016-01-27T00:42Z 1.1M followers, 2.6M engagements "Calculus [--] Lecture 12.4: Velocity and Acceleration of Vector Functions Calculus [--] Lecture 12.4: Velocity and Acceleration of Vector Functions: How to find the Velocity and Acceleration of a particle when the particular motion is described by a vector function (space curve). How to integrate to find a position function from acceleration or velocity. How to define acceleration as "T" and "N". A look at Projectile Motion. Velocity Acceleration Space Curve Vector Vector Function TNB Frenet-Serret Projectile Motion Integration Math Calculus [--] Professor Leonard Velocity Acceleration Space Curve" [YouTube Link](https://youtube.com/watch?v=yq4Cj1_bmnE) 2016-03-07T18:01Z 1.1M followers, 162.5K engagements "Solving Systems of Linear Equations by Graphing (TTP Video 48) https://www.patreon.com/ProfessorLeonard A graphical interpretation and explanation of the solution to a system of linear equations as the intersection of two lines" [YouTube Link](https://youtube.com/watch?v=-5DWSu4Hrv0) 2017-10-06T15:14Z 1.1M followers, 30.1K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 3: Testing a Claim about a Population Proportion" [YouTube Link](https://youtube.com/watch?v=5KZd3H-NzkA) 2011-12-02T23:48Z 973K followers, [----] engagements "Calculus [--] Lecture 5.4: Finding the Length of a Curve on a Plane Calculus [--] Lecture 5.4: Finding the Length of a Curve on a Plane" [YouTube Link](https://youtube.com/watch?v=5Yuw1jCBq-0) 2014-01-24T02:13Z 958K followers, 307.8K engagements "Equilibrium Solutions and Stability of Differential Equations (Differential Equations 36) https://www.patreon.com/ProfessorLeonard Exploring Equilibrium Solutions and how critical points relate to increasing and decreasing populations" [YouTube Link](https://youtube.com/watch?v=7q33RFkMMpY) 2019-06-18T00:02Z 1.1M followers, 149.2K engagements "What in the World Happened to Professor Leonard I thought I'd give you all an update about what's been going on Hope everyone of you is doing well :) Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=8h1lJwKbm8E) 2022-04-07T03:22Z 1.1M followers, 378.2K engagements "Intermediate Algebra Lecture 9.1: Compound Inequalities (Inequalities with "And" and "Or") https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 9.1: Compound Inequalities (Inequalities with "And" and "Or")" [YouTube Link](https://youtube.com/watch?v=9J919Jrpe3U) 2012-02-07T21:42Z 913K followers, 29.2K engagements "Introduction to Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 25) What the Sum and Difference formulas are for the three basic trig functions where they come from and how to use them to find exact solutions to angles that are not on the Unit Circle. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=9R5Nz1eYddM) 2021-10-20T21:19Z 1.1M followers, 53.1K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 5: Finding the Center of a Data Set" [YouTube Link](https://youtube.com/watch?v=DW1HKeOh6Y0) 2011-08-30T17:25Z 1M followers, [----] engagements "The Difference Between Expressions and Equations (TTP Video 2) https://www.patreon.com/ProfessorLeonard This will compare Expressions and Equations. It will also describe how to identify each and what is possible in each type of math statement" [YouTube Link](https://youtube.com/watch?v=DmnluVVfVZE) 2017-08-16T20:50Z 1.1M followers, 55.5K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 5: Testing a Claim about a Population Proportion" [YouTube Link](https://youtube.com/watch?v=EqAG4--PRRk) 2011-12-05T23:43Z 1M followers, [----] engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 4: Testing a Claim about a Population Proportion" [YouTube Link](https://youtube.com/watch?v=ErsVIrJktzw) 2011-12-05T22:59Z 1M followers, [----] engagements "Prealgebra Lecture [---] Part [--] Prealgebra Lecture [---] Part 1: Solving Problems with Sales Tax Commission and Discount" [YouTube Link](https://youtube.com/watch?v=FhuAKIaR0WE) 2011-11-23T23:55Z 1M followers, [---] engagements "Solving a Formula for a Given Variable (TTP Video 18) https://www.patreon.com/ProfessorLeonard How to Solve a formula for a given variable using different techniques. You will need this for almost every other math class you ever take" [YouTube Link](https://youtube.com/watch?v=GjFsY9PjIfM) 2017-09-05T00:05Z 996K followers, [----] engagements "How to Graph Advanced Polar Equations with Symmetry (Precalculus - Trigonometry 42) How to graph Polar Equations WITHOUT converting into Rectangular Equations by using symmetry of Polar Functions and plotting a limited number or points. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=I9BKbq2MVfg) 2021-11-30T16:00Z 1.1M followers, 139.3K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 1: Hypothesis Testing Involving Variance and Standard Deviation" [YouTube Link](https://youtube.com/watch?v=IpvTe-0ABmk) 2011-12-10T00:39Z 958K followers, 10.3K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 2: Testing a Claim about a Population Proportion" [YouTube Link](https://youtube.com/watch?v=J5aHVvhFMiM) 2011-12-02T22:55Z 961K followers, [----] engagements "Calculus [--] Lecture 4.4: The Evaluation of Definite Integrals Calculus [--] Lecture 4.4: The Evaluation of Definite Integrals" [YouTube Link](https://youtube.com/watch?v=K0ORDCt5Ig0) 2014-01-22T00:09Z 1M followers, 277.9K engagements "Calculus [--] Lecture 7.4: Integration By Partial Fractions Calculus [--] Lecture 7.4: Integration By Partial Fractions" [YouTube Link](https://youtube.com/watch?v=KJGp0pyPoVo) 2014-03-05T00:03Z 1M followers, 828.5K engagements "Introduction to Solving Logarithms and Exponentials (Precalculus - College Algebra 57) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to solve logarithms by using exponentials (without common bases) and how to solve exponentials by using logarithms (without common bases). The focus of the video will be on using notation change to solve the equations. More advanced techniques will be discussed in subsequent videos" [YouTube Link](https://youtube.com/watch?v=KezbqAAlOZk) 2020-11-04T18:37Z 911K followers, 43.7K engagements "Introduction to Polar Coordinates (Precalculus - Trigonometry 36) What Polar Coordinates are how to plot them and why they are used in math. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=Ol_a6LEdo3M) 2021-11-18T16:00Z 1.1M followers, 62.1K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 6: Finding Confidence Intervals for the Population Proportion" [YouTube Link](https://youtube.com/watch?v=PckuyJ_piGo) 2011-11-07T22:58Z 983K followers, [----] engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 2: Estimating Population Mean from the Sample Mean Population Standard Deviation -- Unknown" [YouTube Link](https://youtube.com/watch?v=RoEmL10G3nE) 2011-11-16T23:28Z 1M followers, [----] engagements "Calculus [--] Lecture [---] Part [--] Calculus [--] Lecture [---] Part 3: The Chain Rule for Derivatives" [YouTube Link](https://youtube.com/watch?v=SKnzlwU7qhs) 2012-03-07T21:48Z 1M followers, [----] engagements "Calculus [--] Lecture 6.5: Calculus of Inverse Trigonometric Functions Calculus [--] Lecture 6.5: Calculus of Inverse Trigonometric Functions" [YouTube Link](https://youtube.com/watch?v=ST3ORfqVYQw) 2014-01-31T01:03Z 1M followers, 341.7K engagements "Reducible Second Order Differential Equations Missing Y (Differential Equations 26) https://www.patreon.com/ProfessorLeonard How so solve Reducible Second Order Differential Equations by making a substitution when missing the "y" variable" [YouTube Link](https://youtube.com/watch?v=SjVu03HHH7I) 2019-01-30T20:50Z 1M followers, 121.1K engagements "Calculus [--] Lecture 0.3: Review of Trigonometry and Graphing Trigonometric Functions https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 0.3: Review of Trigonometry and Graphing Trigonometric Functions" [YouTube Link](https://youtube.com/watch?v=SzLF-wLZF_I) 2012-05-23T20:51Z 910K followers, 549.9K engagements "Separable Differential Equations (Differential Equations 12) https://www.patreon.com/ProfessorLeonard How to solve Separable Differential Equations by Separation of Variables. Lots of examples" [YouTube Link](https://youtube.com/watch?v=WfX20b-peDw) 2018-10-10T22:33Z 1M followers, 351K engagements "Prealgebra Lecture [---] Part [--] Prealgebra Lecture [---] Part 3: Solving Problems with Sales Tax Commission and Discount" [YouTube Link](https://youtube.com/watch?v=Xaewo5lFnGE) 2011-11-29T03:34Z 990K followers, [---] engagements "Introduction to Linear Equations (TTP Video 5) https://www.patreon.com/ProfessorLeonard An explanation of the basic properties of Linear Equations" [YouTube Link](https://youtube.com/watch?v=Z1V9b3jKKBs) 2017-08-22T21:39Z 1.1M followers, 44.4K engagements "Calculus [--] Lecture 6.7: Evaluating Limits of Indeterminate Forms Calculus [--] Lecture 6.7: Evaluating Limits of Indeterminate Forms" [YouTube Link](https://youtube.com/watch?v=Zd7wd24jeok) 2014-02-06T01:40Z 936K followers, 285K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 8: An Introduction to Hypothesis Testing" [YouTube Link](https://youtube.com/watch?v=_SjDBwZ88tI) 2011-11-30T23:02Z 980K followers, [----] engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 9: An Introduction to Hypothesis Testing" [YouTube Link](https://youtube.com/watch?v=_s7vxMO3dZI) 2011-11-30T23:20Z 962K followers, [----] engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 3: Probability Distributions Mean and Standard Deviation" [YouTube Link](https://youtube.com/watch?v=cTwHsNsB2b4) 2011-10-03T23:07Z 1M followers, [----] engagements "Calculus [--] Lecture 9.6: Absolute Convergence Ratio Test and Root Test For Series Calculus [--] Lecture 9.6: Absolute Convergence Ratio Test and Root Test For Series" [YouTube Link](https://youtube.com/watch?v=g4iZJOwMkjU) 2014-04-09T00:53Z 915K followers, 362.4K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 1: Testing a Claim about a Population Proportion" [YouTube Link](https://youtube.com/watch?v=gchPsTAbB38) 2011-12-03T01:56Z 956K followers, [----] engagements "Introduction to Inverse Trigonometric Functions (Precalculus - Trigonometry 17) What Inverse Trigonometric Functions are where they come from and why we need to restrict domain to be able to use them. Special focus will be on the nature of one-to-one functions and how they relate to the common trigonometric functions. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=ih01YszlraY) 2021-08-12T12:00Z 1.1M followers, 78.2K engagements "The Quotient Rule for Exponents (TTP Video 73) https://www.patreon.com/ProfessorLeonard An explanation of the Quotient Rule for Exponents how it is used to divide monomials and how it relates to Negative Exponents" [YouTube Link](https://youtube.com/watch?v=lGz-0t_1oz8) 2017-11-11T22:06Z 982K followers, [----] engagements "Long Division of Polynomials (TTP Video 78) https://www.patreon.com/ProfessorLeonard How to properly set up and perform Long Division of Polynomials. We will focus specifically on examples where synthetic division does not apply" [YouTube Link](https://youtube.com/watch?v=m710y0NpnBw) 2017-11-15T20:51Z 1.1M followers, 37.2K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 2: Testing a Claim about a Population Mean when Population Standard Deviation is Known" [YouTube Link](https://youtube.com/watch?v=q2fIPQm7QcA) 2011-12-06T00:07Z 979K followers, [----] engagements "Calculus [--] Lecture 7.3: Integrals By Trigonometric Substitution Calculus [--] Lecture 7.3: Integrals By Trigonometric Substitution" [YouTube Link](https://youtube.com/watch?v=q6JwTGpG8b4) 2014-02-26T02:30Z 982K followers, 661.1K engagements "Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 1: Testing a Claim about a Population Mean when Population Standard Deviation is Known" [YouTube Link](https://youtube.com/watch?v=quQbrUHKcx4) 2011-12-06T00:02Z 999K followers, [----] engagements "Graphing Exponential Functions with Transformations (Precalculus -College Algebra 53) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to use transformations to graph exponential functions. The focus of this video is recognizing how key points and asymptotes can be identified and used at shifted locations on a coordinate system" [YouTube Link](https://youtube.com/watch?v=uycM-AzUDQ4) 2020-10-29T18:41Z 913K followers, 34.3K engagements "An Introduction to Percents (TTP Video 12) https://www.patreon.com/ProfessorLeonard What Percents mean and how they work" [YouTube Link](https://youtube.com/watch?v=wK9qk0Q2rpA) 2017-08-30T17:03Z 1M followers, 11.2K engagements "Statistics Lecture 7.5: Confidence Intervals for Variance and Std Dev. Chi-Squared Distribution. https://www.patreon.com/ProfessorLeonard Statistics Lecture 7.5: Finding Confidence Intervals Involving Variance and Standard Deviation. Using the Chi-Squared Distribution" [YouTube Link](https://youtube.com/watch?v=w__TNyXH_xA) 2011-12-15T06:55Z 1M followers, 116.4K engagements "Introduction to Time Rate of Change (Differential Equations 5) https://www.patreon.com/ProfessorLeonard An explanation of Time Rate of Change and how it is a basic Differential Equation where time is our independent variable" [YouTube Link](https://youtube.com/watch?v=yhklHobbuyg) 2018-09-24T19:43Z 1M followers, 171.8K engagements "Statistics Lecture 6.3: The Standard Normal Distribution. Using z-score Standard Score https://www.patreon.com/ProfessorLeonard Statistics Lecture 6.3: Applications of the Standard Normal Distribution. Using z-score Standard Score" [YouTube Link](https://youtube.com/watch?v=-Lj6SvaVGr4) 2011-12-13T05:10Z 1.1M followers, 193.2K engagements "Calculus [--] Lecture 3.5: Limits of Functions at Infinity Calculus [--] Lecture 3.5: Limits of Functions at Infinity" [YouTube Link](https://youtube.com/watch?v=-PYebK8DKPc) 2014-01-16T21:25Z 1.1M followers, 338.6K engagements "The Future What the next few years will look like for this channel" [YouTube Link](https://youtube.com/watch?v=2YaPi6hPvSE) 2017-08-16T19:11Z 1.1M followers, 25.3K engagements "Properties of Functions - Extrema (Precalculus - College Algebra 10) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to find and define Local/Relative Maximum and Minimum and Absolute Maximum and Minimum" [YouTube Link](https://youtube.com/watch?v=2hItEGb3KJo) 2019-10-30T16:36Z 1.1M followers, 79.5K engagements "The Graphs of Sine and Cosine (Precalculus - Trigonometry 11) The graphs of Sine and Cosine (sin and cos) and where they come from. Much of this video is focused on WHY the graphs look the way they do. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=3HHgZopzL_s) 2021-05-26T17:56Z 1.1M followers, 55.3K engagements "Calculus [--] Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series Calculus [--] Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series" [YouTube Link](https://youtube.com/watch?v=3VHol7eosLA) 2014-04-18T19:09Z 1.1M followers, 744.6K engagements "Calculus [--] Lecture 2.8: Related Rates Calculus [--] Lecture 2.8: Related Rates" [YouTube Link](https://youtube.com/watch?v=43Qt6wc44To) 2014-01-15T23:22Z 1.1M followers, 461.2K engagements "Intermediate Algebra Lecture 13.2: A Study of Conic Sections -- Ellipse and Hyperbola. https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 13.2: A Study of Conic Sections -- Ellipse and Hyperbola" [YouTube Link](https://youtube.com/watch?v=5uYKxsJVOG4) 2012-02-11T06:00Z 1.1M followers, 67K engagements "Properties of Functions - Even vs Odd (Precalculus - College Algebra 8) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ A Graphical and Algebraic exploration of Even Functions and Odd Functions" [YouTube Link](https://youtube.com/watch?v=6897XAx3O9Q) 2019-10-16T17:18Z 1.1M followers, 118.4K engagements "Calculus [--] Lecture 15.1: INTRODUCTION to Vector Fields (and what makes them Conservative) Calculus [--] Lecture 15.1: INTRODUCTION to Vector Fields (and what makes them Conservative): What Vector Fields are and what they look like. We discuss graphing Vector Fields in 2-D and 3-D and talk about what a Conservative Vector Field means" [YouTube Link](https://youtube.com/watch?v=71Z1RVYZ8HY) 2016-05-05T00:06Z 1.1M followers, 386.9K engagements "Solving Exact Differential Equations (Differential Equations 29) https://www.patreon.com/ProfessorLeonard Some practice and further explanation solving Exact Differential Equations" [YouTube Link](https://youtube.com/watch?v=7zOMnC-BAFY) 2019-03-20T21:27Z 1.1M followers, 123K engagements "Intro to Precalculus (Precalculus - College Algebra 1) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ How the Precalculus Series will be filmed and what it will entail" [YouTube Link](https://youtube.com/watch?v=9OOrhA2iKak) 2019-08-26T16:41Z 1.1M followers, 875.9K engagements "Calculus [--] Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions" [YouTube Link](https://youtube.com/watch?v=AvCQQ3X4Nuc) 2014-01-14T19:11Z 1.1M followers, 403.7K engagements "Calculus [--] Lecture 9.5: Showing Convergence With the Alternating Series Test Finding Error of Sums Calculus [--] Lecture 9.5: Showing Convergence With the Alternating Series Test Finding Error of Sums" [YouTube Link](https://youtube.com/watch?v=BhYPrQHDrjk) 2014-04-04T00:50Z 1.1M followers, 364.6K engagements "Introduction to Radians (Precalculus - Trigonometry 3) Where Radians come from how they are related to the arc length of a circle and why many formulas only work in radian measured angles. Support: https://www.patreon.com/ProfessorLeonard Radian Radian" [YouTube Link](https://youtube.com/watch?v=EWd_FtOfyPc) 2021-02-09T20:25Z 1.1M followers, 60.6K engagements "Calculus [--] Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily) https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily)" [YouTube Link](https://youtube.com/watch?v=EY6FHX6asU0) 2012-08-29T23:55Z 1.1M followers, 491.2K engagements "Calculus [--] Lecture 5.2: Volume of Solids By Disks and Washers Method Calculus [--] Lecture 5.2: Volume of Solids By Disks and Washers Method" [YouTube Link](https://youtube.com/watch?v=GJOJl47l2_4) 2014-01-23T23:22Z 1.1M followers, 695.9K engagements "Average Rate of Change of a Function (Precalculus - College Algebra 11) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to find the Average Rate of Change of a Function and what it is used to represent in Calculus" [YouTube Link](https://youtube.com/watch?v=H5Y-ONkezDM) 2019-11-06T20:18Z 1.1M followers, 102.9K engagements "Calculus [--] Lecture 14.3: Double Integrals over POLAR REGIONS Calculus [--] Lecture 14.3: Double Integrals over POLAR REGIONS: How to perform Double Integrals over regions using Polar Coordinates/Equations. How to translate Rectangular Double integrals into Polar Double integrals" [YouTube Link](https://youtube.com/watch?v=HA41kYxVYnw) 2016-04-21T17:50Z 1.1M followers, 668.7K engagements "Introduction to Initial Value Problems (Differential Equations 4) https://www.patreon.com/ProfessorLeonard Exploring Initial Value problems in Differential Equations and what they represent. An extension of General Solutions to Particular Solutions" [YouTube Link](https://youtube.com/watch?v=HjioXdmwze0) 2018-09-22T03:39Z 1.1M followers, 434K engagements "Intermediate Algebra Lecture 6.4: Factoring Polynomials (Trinomials) in General https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 6.4: Factoring Polynomials (Trinomials) in General" [YouTube Link](https://youtube.com/watch?v=HpFeF7nt5kM) 2014-08-25T21:57Z 1.1M followers, 79.9K engagements "Calculus [--] Lecture 12.3: Arc Length/Parameterization TNB (Frenet-Serret) Intro Calculus [--] Lecture 12.3: Arc Length/Parameterization TNB (Frenet-Serret) Intro: How to find the arc length and arc length function of a vector function (space curve). How to reparameterize a vector function by arc length. An introduction to Movable Frames; TNB Frames or Frenet-Serret Frames and what they mean" [YouTube Link](https://youtube.com/watch?v=Hu72QVWsMlg) 2016-02-27T00:25Z 1.1M followers, 341.7K engagements "Calculus [--] Lecture 13.4: Finding Differentials of Multivariable Functions Calculus [--] Lecture 13.4: Finding Differentials of Multivariable Functions: A review of Differentials from Calculus [--] and an extrapolation towards Differentials with more than [--] Independent Variable. Focus will be on the derivation of the idea of Differentials and the application of Differentials in Word Problems" [YouTube Link](https://youtube.com/watch?v=J72AKZtUpgY) 2016-03-21T23:17Z 1.1M followers, 311.2K engagements "Calculus [--] Lecture 3.1: Increasing/Decreasing and Concavity of Functions Calculus [--] Lecture 3.1: Discussion of Increasing and Decreasing Intervals. Discussion of Concavity of functions" [YouTube Link](https://youtube.com/watch?v=Mx39JbbzEAo) 2014-01-16T01:16Z 1.1M followers, 457.4K engagements "Review of Compound Interest (Precalculus - College Algebra 65) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How exponentials and logarithms can be used to solve applications of finance involving compound interest" [YouTube Link](https://youtube.com/watch?v=N1k25doMFww) 2020-11-11T23:18Z 1.1M followers, 23.5K engagements "Calculus [--] Lecture 1.4: Continuity of Functions https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 1.4: Continuity of Functions" [YouTube Link](https://youtube.com/watch?v=OEE5-M4aY4k) 2012-08-27T22:14Z 1.1M followers, 744.4K engagements "Finding Sides and Angles with Right Triangle Trigonometry (Precalculus - Trigonometry 31) How to find missing sides and angles of Right triangles using Right Triangle Trigonometry. Focus is on using the basic trig functions Sine (sin) Cosine (cos) and Tangent (tan). Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=OHiZDKUwlQ4) 2021-10-18T19:32Z 1.1M followers, 28.1K engagements "Green's Theorem: Calculus [--] Lecture [----] Green's Theorem: Calculus [--] Lecture 15.5: An explanation of Green's Theorem and how to apply it for Line Integrals of Simple Closed Curves on Non-Conservative Vector Fields" [YouTube Link](https://youtube.com/watch?v=OnyCk62hEL4) 2016-05-19T19:40Z 1.1M followers, 412.9K engagements "Intermediate Algebra Lecture 12.2: An Introduction to Inverse Functions https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 12.2: An Introduction to Inverse Functions" [YouTube Link](https://youtube.com/watch?v=QBd1gAne_8A) 2012-05-07T18:33Z 1.1M followers, 35.5K engagements "Numerical Integration With Trapezoidal and Simpson's Rule Calculus [--] Lecture 4.6: Numerical Integration With the Trapezoidal Rule and Simpson's Rule" [YouTube Link](https://youtube.com/watch?v=RTX-ik_8i-k) 2014-05-15T21:16Z 1.1M followers, 460.3K engagements "Calculus [--] Lecture 2.7: Implicit Differentiation Calculus [--] Lecture 2.7: Implicit Differentiation" [YouTube Link](https://youtube.com/watch?v=RUS4mKo9tBk) 2014-01-15T21:39Z 1.1M followers, 577.4K engagements "Calculus [--] Lecture 11.3: Using the Dot Product Calculus [--] Lecture 11.3: Using the Dot Product: Explanation of the Dot Product Finding the angle between two vectors including how the Dot Production show orthogonal vectors Vector Projection Work and Direction angles" [YouTube Link](https://youtube.com/watch?v=TKlGMRghcDs) 2016-01-29T21:15Z 1.1M followers, 444.2K engagements "Solving Equations Using Multiplication and Division (TTP Video 4) https://www.patreon.com/ProfessorLeonard How to solve basic Linear equations using Multiplication and Division. Focus will be on inverse operations keeping equality of both sides and obtaining "1" instead of "0"" [YouTube Link](https://youtube.com/watch?v=U4VT0d052g8) 2017-08-21T16:59Z 1.1M followers, 19.8K engagements "Calculus [--] Lecture 12.1: An Introduction To Vector Functions Calculus [--] Lecture 12.1: An Introduction To Vector Functions: The interpretation of Vector Functions and How to graph Vector Functions. Focus is on the graphing of 3-D Vector Functions" [YouTube Link](https://youtube.com/watch?v=YThPIdcwr78) 2016-02-18T16:51Z 1.1M followers, 449.9K engagements "Solving Systems of Linear Equations by Substitution (TTP Video 49) https://www.patreon.com/ProfessorLeonard Using the Substitution Method to solve systems of Linear Equations and avoid graphing" [YouTube Link](https://youtube.com/watch?v=awZhi91rA3M) 2017-10-07T01:22Z 1.1M followers, 26.7K engagements "How to Graph Phase Shifts of Trigonometric Functions (Precalculus - Trigonometry 16) How to perform Horizontal shifts called a Phase shift or Horizontal Translation on trigonometric functions. While only Sine and Cosine are demonstrated these techniques can be with all trig functions. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=bE5PFI-ibT8) 2021-08-09T12:00Z 1.1M followers, 38.6K engagements "Features of Graphs Domain Range (Precalculus - College Algebra 7) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com Finding Point Domain Range and other features of graphs of functions" [YouTube Link](https://youtube.com/watch?v=d3b-4Zz65ZE) 2019-10-09T20:58Z 1.1M followers, 125.2K engagements "Finding Inverse Functions (Precalculus - College Algebra 51) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to find the inverse of a one-to-one function and how to restrict the domain to create certain one-to-one functions" [YouTube Link](https://youtube.com/watch?v=fK7IPeeZoFE) 2020-10-28T01:12Z 1.1M followers, 80.2K engagements "Intermediate Algebra Lecture 13.1: A Study of Conic Sections -- Parabola and Circle. https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 13.1: A Study of Conic Sections -- Parabola and Circle" [YouTube Link](https://youtube.com/watch?v=fxG7K802yLw) 2012-02-11T05:16Z 1.1M followers, 98.2K engagements "Using the Substitution Method with Fractions (TTP Video 50) https://www.patreon.com/ProfessorLeonard How to use the Substitution Method on systems of linear equations involving fractions and why we want to avoid it" [YouTube Link](https://youtube.com/watch?v=gYDHL2CQ3ts) 2017-10-07T16:51Z 1.1M followers, 24.3K engagements "How to Solve Trigonometric Equations (Precalculus - Trigonometry 22) A very In-Depth look into solving equations that involve trig functions. We will focus on solving equations without having to use inverse trigonometric functions and relating solutions to the unit circle. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=hBk7OnEYPcw) 2021-09-01T23:05Z 1.1M followers, 87.2K engagements "Introduction to Systems of Linear Equations (TTP Video 47) https://www.patreon.com/ProfessorLeonard What a System of Linear Equations represents and how to find a solution" [YouTube Link](https://youtube.com/watch?v=jLhMemW5pfI) 2017-10-04T19:28Z 1.1M followers, 115.3K engagements "Statistics Lecture 6.4: Sampling Distributions Statistics. Using Samples to Approx. Populations https://www.patreon.com/ProfessorLeonard Statistics Lecture 6.4: Sampling Distributions of Sample Statistics. Using Samples to Approx. Populations" [YouTube Link](https://youtube.com/watch?v=kBYt67NDToI) 2011-12-13T07:23Z 1.1M followers, 198.3K engagements "Calculus [--] Lecture 13.8: Finding Extrema of Functions of [--] Variables (Max and Min) Calculus [--] Lecture 13.8: Finding Extrema of Functions of [--] Variables (Max and Min): How to find Relative (Local) and Absolute Extrema of [--] Variable Functions. Optimization is also discussed" [YouTube Link](https://youtube.com/watch?v=kPL28zgEFk8) 2016-04-13T01:12Z 1.1M followers, 565.7K engagements "Statistics Lecture 3.4: Finding Z-Score Percentiles and Quartiles and Comparing Standard Deviation https://www.patreon.com/ProfessorLeonard Statistics Lecture 3.4: Finding the Z-Score Percentiles and Quartiles and Comparing Standard Deviation" [YouTube Link](https://youtube.com/watch?v=lPe-rQA_afU) 2011-12-09T11:35Z 1.1M followers, 304.1K engagements "Distribution of Monomials (TTP Video 68) https://www.patreon.com/ProfessorLeonard How to Multiply a Monomial onto Polynomials. Basic Distribution and how to apply the rules of exponents" [YouTube Link](https://youtube.com/watch?v=li8SsEh6HIw) 2017-11-04T20:07Z 1.1M followers, [----] engagements "Introduction to Slope Fields (Differential Equations 9) https://www.patreon.com/ProfessorLeonard A constructive approach to Slope Fields and how they work. Individual exploration with a Computer Graphing application is highly recommended" [YouTube Link](https://youtube.com/watch?v=m9Y8U9f9_Bw) 2018-10-04T00:14Z 1.1M followers, 148.2K engagements "Calculus [--] Lecture 13.1: Intro to Multivariable Functions (Domain Sketching Level Curves) Calculus [--] Lecture 13.1: Intro to Multivariable Functions (Domain Sketching Level Curves): Working with Multivariable Functions with an emphasis on finding Domain Sketching Domain Sketching Functions and finding both Level Curves and Contour Plots" [YouTube Link](https://youtube.com/watch?v=nIJQPX5kxp4) 2016-03-10T18:33Z 1.1M followers, 776.9K engagements "Exponential Growth and Decay (Precalculus - College Algebra 66) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com A discussion of Exponential growth and decay including population modeling half-life and Newton's Law of Cooling" [YouTube Link](https://youtube.com/watch?v=rO-C48LY2KY) 2020-11-13T01:40Z 1.1M followers, 71.6K engagements "Calculus [--] Lecture 15.3: How to Compute Line Integrals (Over Non-Conservative V.Fields) Calculus [--] Lecture 15.3: How to Compute Line Integrals (and Over Non-Conservative V.Fields): An Introduction to Line Integrals and techniques of computation. Also how to find Line Integrals over Vector Fields and an interpretation of their meaning" [YouTube Link](https://youtube.com/watch?v=t6vtOOAnqyU) 2016-05-12T20:01Z 1.1M followers, 554.9K engagements "Using Factoring to Solve Quadratics (Precalculus - College Algebra 18) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to factor quadratics and a real cool short-cut" [YouTube Link](https://youtube.com/watch?v=u2CFHYJWS60) 2020-01-29T22:35Z 1.1M followers, 72.1K engagements "The Plan for Differential Equations (Differential Equations 1) https://www.patreon.com/ProfessorLeonard What to expect from Differential Equations on this channel" [YouTube Link](https://youtube.com/watch?v=xf-3ATzFyKA) 2018-08-22T16:34Z 1.1M followers, 863.2K engagements "Calculus [--] Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces Calculus [--] Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces: How to find a tangent plane and/or a normal line to any surface (multivariable function) at a point. This is based on the ability to find the gradient of a function" [YouTube Link](https://youtube.com/watch?v=yLbqHfuWsr8) 2016-04-05T01:02Z 1.1M followers, 348.7K engagements "Graphs of Exponential Functions (Precalculus - College Algebra 52) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com An introduction to the graphs of exponential functions with a focus on why they look the way they do and how to identify key points and asymptotes" [YouTube Link](https://youtube.com/watch?v=2w14jBb0e9Q) 2020-10-28T17:22Z 1.1M followers, 62K engagements "How to Evaluate Functions (Precalculus - College Algebra 3) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ How to evaluate functions of both constants and other functions (composition of functions). Also discussed is the Difference Quotient and it's use" [YouTube Link](https://youtube.com/watch?v=p1sGAHulT8w) 2019-09-04T20:43Z 1.1M followers, 281.7K engagements "Calculus [--] Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume) Calculus [--] Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume): What Triple Integrals mean and methods of solving them. Also discussed is the idea of a triple integral representing mass and volume of a 3-D region. Center of Mass is also covered but more examples in 14.7)" [YouTube Link](https://youtube.com/watch?v=uTLM_iEcVdA) 2016-04-28T19:28Z 1.1M followers, 818.2K engagements "Calculus [--] Lecture 4.3: Area Under a Curve Limit Approach Riemann Sums Calculus [--] Lecture 4.3: Area Under a Curve Limit Approach Riemann Sums" [YouTube Link](https://youtube.com/watch?v=F0uuW-I6icY) 2014-01-22T02:16Z 1.1M followers, 494.9K engagements "Introduction to Graph Transformations (Precalculus - College Algebra 14) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to use Transformations to Graph basic functions and why the transformations do what they do. Leonard Math Precalculus College Algebra Professor Leonard Transformations Graphs Library of Functions Shifting Strectch Compression Translation Leonard Math Precalculus College Algebra Professor Leonard Transformations Graphs Library of Functions Shifting Strectch Compression Translation" [YouTube Link](https://youtube.com/watch?v=sTCRB6hMsC4) 2019-12-06T01:05Z 1.1M followers, 196.5K engagements "Calculus [--] Lecture 3.4: The Second Derivative Test for Concavity of Functions Calculus [--] Lecture 3.4: The Second Derivative Test for Concavity of Functions Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Math Second Derivative Test Calculus (Field Of Study) Concave Function Function (Literature Subject) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Math Second Derivative Test Calculus (Field Of Study) Concave Function Function (Literature Subject)" [YouTube Link](https://youtube.com/watch?v=29GbRaQxtzY) 2014-01-16T18:47Z 1.1M followers, 215.3K engagements "Calculus [--] Lecture 3.6: How to Sketch Graphs of Functions Calculus [--] Lecture 3.6: How to Sketch Graphs of Functions Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Math Calculus (Field Of Study) Graph Of A Function Function (Literature Subject) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Math Calculus (Field Of Study) Graph Of A Function Function (Literature Subject)" [YouTube Link](https://youtube.com/watch?v=8u6woY05aL0) 2014-01-16T22:09Z 1.1M followers, 402.7K engagements "Calculus [--] Lecture 6.1: The Natural Log Function Calculus [--] Lecture 6.1: The Natural Log Function Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Natural Logarithm Calculus (Field Of Study) Logarithm (Literature Subject) Function (Literature Subject) Math Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Natural Logarithm Calculus (Field Of Study) Logarithm (Literature Subject) Function (Literature Subject) Math" [YouTube Link](https://youtube.com/watch?v=H9eCT6f_Ftw) 2014-01-18T02:21Z 1.1M followers, 1.9M engagements "How to Graph with Transformations (Precalculus - College Algebra 15) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to use Transformations to quickly sketch functions. math leonard Professor Leonard Precalculus College Algebra Functions Graph Transformation Shift Vertical Shift Horizontal Shift Reflection Compression Stretch math leonard Professor Leonard Precalculus College Algebra Functions Graph Transformation Shift Vertical Shift Horizontal Shift Reflection Compression Stretch" [YouTube Link](https://youtube.com/watch?v=HkrMJLSpJFI) 2019-12-19T22:46Z 1.1M followers, 86.9K engagements "Calculus [--] Lecture 3.7: Optimization; Max/Min Application Problems Calculus [--] Lecture 3.7: Optimization; Max/Min Application Problems Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Mathematical Optimization Calculus (Field Of Study) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Mathematical Optimization Calculus (Field Of Study)" [YouTube Link](https://youtube.com/watch?v=SWZcq_biZLw) 2014-01-16T23:11Z 1.1M followers, 490K engagements "How to Graph Basic Polar Equations (Precalculus - Trigonometry 41) An introduction to graphing Polar Equations by converting them into Rectangular Equations and graphing them as conic sections or basic functions in the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=d-KXFtkLZVA) 2021-11-29T21:18Z 1.1M followers, 47.9K engagements "How to Graph Cosecant and Secant (Precalculus - Trigonometry 15) An introduction to the graphs of Secant and Cosecant by using their relationships with Cosine and Sine. Transformations are also explored and explained. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=kYIKNTXaf_E) 2021-08-05T12:00Z 1.1M followers, 26.1K engagements "Surface And Flux Integrals Parametric Surf. Divergence/Stoke's Theorem: Calculus [--] Lecture 15.6_9 Surface And Flux Integrals Parametric Surf. Divergence/Stoke's Theorem: Calculus [--] Lecture 15.6_9: How to Parameterize a Surface How to perform Surface Integrals How to do Surface Integrals of Vector Fields (Flux Integrals) The application of The Divergence Theorem and the application of Stoke's Theorem. Math Calculus Calculus [--] Professor Leonard Vector Integral Surface Integral Parametric Surfaces Flux Integral Vector Field Divergence Theorem Stoke's Theorem Line Integral Math Calculus Calculus" [YouTube Link](https://youtube.com/watch?v=sQ0BJ3H-cZ8) 2016-05-21T01:59Z 1.1M followers, 1.1M engagements "Proof by Mathematical Induction (Precalculus - College Algebra 73) How to prove summation formulas by using Mathematical Induction. Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com" [YouTube Link](https://youtube.com/watch?v=x5cWX-EyLEI) 2020-12-02T18:52Z 1.1M followers, 120.4K engagements "Calculus [--] Lecture 4.5: The Fundamental Theorem of Calculus Calculus [--] Lecture 4.5: The Fundamental Theorem of Calculus Leonard Calculus (Concepts/Theories) Fundamental Theorem Of Calculus Lecture (Type Of Public Presentation) Math Calculus (Field Of Study) Leonard Calculus (Concepts/Theories) Fundamental Theorem Of Calculus Lecture (Type Of Public Presentation) Math Calculus (Field Of Study)" [YouTube Link](https://youtube.com/watch?v=xjtEfS0vY2o) 2014-01-22T23:49Z 1.1M followers, 475.7K engagements "Introduction to Using Trigonometric Identities (Precalculus - Trigonometry 23) A quick look at Trig Identities and how to use them. Basic identities such as the Pythagorean Identity Reciprocal Identities and Even/Odd Identities are explored. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=yIMR-3c1wP8) 2021-09-08T20:57Z 1.1M followers, 70.9K engagements "How to Use the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 28) LOTS of examples of using the Double Angle and Half Angle formulas in Trigonometry. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=Pf6p6lCs5I8) 2021-11-09T04:46Z 1.1M followers, 46.1K engagements "Prealgebra Lecture 10.1: Adding and Subtracting Polynomials. https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 10.1: Adding and Subtracting Polynomials. Professor Leonard Polynomial (Literature Subject) Subtraction Lecture (Type Of Public Presentation) Mathematics (Field Of Study) Pre-algebra (Field Of Study) Professor Leonard Polynomial (Literature Subject) Subtraction Lecture (Type Of Public Presentation) Mathematics (Field Of Study) Pre-algebra (Field Of Study)" [YouTube Link](https://youtube.com/watch?v=V07jIK85suY) 2012-01-31T07:07Z 1.1M followers, 23.8K engagements "Trigonometric Functions and the Unit Circle (Precalculus - Trigonometry 6) The creation of the Unit Circle and how it relates to Right Triangle Trigonometry and the creation of Trigonometric Functions. Support: https://www.patreon.com/ProfessorLeonard Trig Trigonometry Trigonometric Unit Circle Trig Trigonometry Trigonometric Unit Circle" [YouTube Link](https://youtube.com/watch?v=__nefjOhVks) 2021-03-09T19:50Z 1.1M followers, 111.4K engagements "What are Exact Differential Equations (Differential Equations 28) https://www.patreon.com/ProfessorLeonard An explanation of the origin use and solving of Exact Differential Equations Math Leonard Professor Leonard Differential Equations Differential Equations Exact Differential Equations Total Differential Exact Differential Math Leonard Professor Leonard Differential Equations Differential Equations Exact Differential Equations Total Differential Exact Differential" [YouTube Link](https://youtube.com/watch?v=_c3iEPReTVQ) 2019-03-13T19:55Z 1.1M followers, 205.1K engagements "Descartes Rule of Signs (Precalculus - College Algebra 33) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How Descartes Rule of Signs can be used to determine the number of positive and negative x-intercepts of a Polynomial function. Math Leonard Professor Leonard Descartes Descartes Rule of Signs College Algebra Precalculus x-intercept Zero Root Function Polynomial Math Leonard Professor Leonard Descartes Descartes Rule of Signs College Algebra Precalculus x-intercept Zero Root Function Polynomial" [YouTube Link](https://youtube.com/watch?v=-AW6Y1bL4KU) 2020-09-23T17:08Z 1.1M followers, 43.9K engagements "Intermediate Algebra Lecture 6.1: Factoring the Greatest Common Factor (GCF) https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 6.1: Factoring the Greatest Common Factor (GCF) Math Algebra (Field Of Study) Greatest Common Divisor Lecture (Type Of Public Presentation) Leonard Math Algebra (Field Of Study) Greatest Common Divisor Lecture (Type Of Public Presentation) Leonard" [YouTube Link](https://youtube.com/watch?v=0EnklHkVKXI) 2014-08-21T22:49Z 1.1M followers, 447K engagements "Calculus [--] Lecture 0.2: Introduction to Functions. https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 0.2: Introduction to Functions. Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Calculus (Field Of Study) Function (Literature Subject) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Calculus (Field Of Study) Function (Literature Subject)" [YouTube Link](https://youtube.com/watch?v=1EGFSefe5II) 2012-05-23T20:01Z 1.1M followers, 1.2M engagements "Introduction to Polynomial Functions (Precalculus - College Algebra 27) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com What polynomial functions are how they are organized and their important features. Math Professor Leonard Precalculus College Algebra Polynomial Function Math Professor Leonard Precalculus College Algebra Polynomial Function" [YouTube Link](https://youtube.com/watch?v=6Uh3Z6DJ_pI) 2020-08-10T19:20Z 1.1M followers, 136.3K engagements "How to Graph Tangent and Cotangent (Precalculus - Trigonometry 13) The basics of graphing the Tangent and Cotangent functions why the graphs look like they do along with discussion of vertical asymptotes intercepts and key points. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=8eMEBrPYJ0I) 2021-06-22T17:34Z 1.1M followers, 41.4K engagements "Calculus [--] Lecture 2.1: Introduction to the Derivative of a Function https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 2.1: Introduction to the Derivative of a Function Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Math Calculus (Field Of Study) Derivative (Literature Subject) Functional Derivative Function (Literature Subject) Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Math Calculus (Field Of Study) Derivative (Literature Subject) Functional Derivative Function (Literature Subject)" [YouTube Link](https://youtube.com/watch?v=962lLfW-8Jo) 2012-08-29T21:39Z 1.1M followers, 749.4K engagements "Calculus [--] Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions) Calculus [--] Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions): How to find the slope of a tangent line to a surface in the X-Direction and Y-Direction. Focus is on the concept of a partial derivative and several examples. Also included is implicit differentiation and higher order partial derivatives. Calculus Calculus [--] Professor Leonard Math Multivariable Multivariable Functions Derivatives Partial Derivatives Implicit Differentiation Slope Tangent Line Surface Calculus Calculus 3" [YouTube Link](https://youtube.com/watch?v=EkZGBdY0vlg) 2016-03-14T23:03Z 1.1M followers, 643.6K engagements "Finding the Domain of Functions (Precalculus - College Algebra 4) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ What the Domain means for functions what to look for and how to find it for basic functions. Math Leonard Professor Leonard Precalculus College Algebra Domain Function Math Leonard Professor Leonard Precalculus College Algebra Domain Function" [YouTube Link](https://youtube.com/watch?v=LvUCDcp6Z3k) 2019-09-14T19:56Z 1.1M followers, 245.6K engagements "Graphs You Must Know (Precalculus - College Algebra 13) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ A study of the library of functions used to do transformations. Key points Increasing/Decreasing Domain and Range Even/Odd included. Math Leonard Professor Leonard Graph Library of Functions Precalculus College Algebra Even Odd Math Leonard Professor Leonard Graph Library of Functions Precalculus College Algebra Even Odd" [YouTube Link](https://youtube.com/watch?v=NrmmR3-VxA8) 2019-11-20T21:39Z 1.1M followers, 98.4K engagements "Calculus [--] Lecture 2.5: Finding Derivatives of Trigonometric Functions https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 2.5: Finding Derivatives of Trigonometric Functions Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Derivative Trigonometric Functions Math Calculus (Field Of Study) Function (Literature Subject) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Derivative Trigonometric Functions Math Calculus (Field Of Study) Function (Literature Subject)" [YouTube Link](https://youtube.com/watch?v=RJJSiNz5oto) 2014-01-14T21:18Z 1.1M followers, 413.5K engagements "Calculus [--] Lecture 15.2: How to Find Divergence and Curl of Vector Fields Calculus [--] Lecture 15.2: How to Find Divergence and Curl of Vector Fields: An explanation of what Divergence and Curl mean and how to find them for Vector Fields. Calculus Calculus [--] Professor Leonard Leonard Math Vector Vector Field Divergence Curl Calculus Calculus [--] Professor Leonard Leonard Math Vector Vector Field Divergence Curl" [YouTube Link](https://youtube.com/watch?v=TMWevkxtS9s) 2016-05-06T22:38Z 1.1M followers, 348.6K engagements "Statistics Lecture 4.2: Introduction to Probability https://www.patreon.com/ProfessorLeonard Statistics Lecture 4.2: Introduction to Probability Professor Leonard Statistics (Field Of Study) Probability (Measurement System) Lecture (Type Of Public Presentation) Math Professor Leonard Statistics (Field Of Study) Probability (Measurement System) Lecture (Type Of Public Presentation) Math" [YouTube Link](https://youtube.com/watch?v=_EpXHuPnaK0) 2011-12-10T06:18Z 1.1M followers, 619.1K engagements "Calculus [--] Lecture 4.2: Integration by Substitution Calculus [--] Lecture 4.2: Integration by Substitution Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Integration By Substitution Calculus (Field Of Study) Integral (Literature Subject) Change Of Variables Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Integration By Substitution Calculus (Field Of Study) Integral (Literature Subject) Change Of Variables" [YouTube Link](https://youtube.com/watch?v=aiBD9aI69C8) 2014-01-21T22:54Z 1.1M followers, 536.5K engagements "Introduction to Angles (Precalculus - Trigonometry 1) An introduction to Angles and their usage from standard position on the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard Trigonometry Trigonometry" [YouTube Link](https://youtube.com/watch?v=c41QejoWnb4) 2021-01-27T15:25Z 1.1M followers, 95.7K engagements "Calculus [--] Lecture 0.1: Lines Angle of Inclination and the Distance Formula https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 0.1: Lines Angle of Inclination and the Distance Formula Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Trigonometry (Field Of Study) Angle (Dimension) Mathematics (Field Of Study) Line (Literature Subject) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Trigonometry (Field Of Study) Angle (Dimension) Mathematics (Field Of Study) Line (Literature Subject)" [YouTube Link](https://youtube.com/watch?v=fYyARMqiaag) 2012-01-24T09:25Z 1.1M followers, 3.3M engagements "Calculus [--] Lecture 7.6: Improper Integrals Calculus [--] Lecture 7.6: Improper Integrals Improper Integral Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Integral (Literature Subject) Calculus (Field Of Study) Improper Integral Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Integral (Literature Subject) Calculus (Field Of Study)" [YouTube Link](https://youtube.com/watch?v=g-M8FHslgdk) 2014-03-12T02:51Z 1.1M followers, 827.3K engagements "Calculus [--] Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem. Calculus [--] Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem. Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Rolle's Theorem Mean Value Theorem Calculus (Field Of Study) Math Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Rolle's Theorem Mean Value Theorem Calculus (Field Of Study) Math" [YouTube Link](https://youtube.com/watch?v=qW89xdGfSzw) 2012-03-19T20:33Z 1.1M followers, 254.8K engagements "Statistics Lecture 1.3: Exploring Categories of Data Levels of Measurement https://www.patreon.com/ProfessorLeonard Statistics Lecture 1.3: Exploring Categories of Data Levels of Measurement Professor Leonard Level Of Measurement Statistics (Field Of Study) Data (Website Category) Math Professor Leonard Level Of Measurement Statistics (Field Of Study) Data (Website Category) Math" [YouTube Link](https://youtube.com/watch?v=z6dtF1eJ3m4) 2011-12-08T21:41Z 1.1M followers, 376K engagements "I'm BACK - Professor Leonard Update I hope you're ready for more math videos soon Because I'm back and ready to get after it (as soon as I get my white board up :) ) Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=1vH00iNHIA4) 2023-01-17T20:23Z 1.1M followers, 324.5K engagements "What in the World Happened to Professor Leonard I thought I'd give you all an update about what's been going on Hope everyone of you is doing well :) Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=8h1lJwKbm8E) 2022-04-07T03:22Z 1.1M followers, 378.2K engagements "How to Graph Advanced Polar Equations with Symmetry (Precalculus - Trigonometry 42) How to graph Polar Equations WITHOUT converting into Rectangular Equations by using symmetry of Polar Functions and plotting a limited number or points. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=I9BKbq2MVfg) 2021-11-30T16:00Z 1.1M followers, 139.3K engagements "How to Graph Basic Polar Equations (Precalculus - Trigonometry 41) An introduction to graphing Polar Equations by converting them into Rectangular Equations and graphing them as conic sections or basic functions in the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=d-KXFtkLZVA) 2021-11-29T21:18Z 1.1M followers, 47.9K engagements "How to Convert From Polar Equations to Rectangular Equations (Precalculus - Trigonometry 40) How to convert equations from Polar form to Rectangular form using trigonometric identities. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=QjU4_fO8V2I) 2021-11-27T16:00Z 1.1M followers, 31.1K engagements "How to Convert From Rectangular Equations to Polar Equations (Precalculus - Trigonometry 39) How to convert equations from Rectangular form to Polar form using trigonometric identities. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=blUobGPSMCk) 2021-11-26T16:00Z 1.1M followers, 25.5K engagements "How to Convert From Rectangular Coordinates to Polar Coordinates (Precalculus - Trigonometry 38) How to use trigonometric relationships to change Rectangular Coordinate represented points into Polar Coordinate represented points including how to determine the correct quadrant for Tangent Inverse. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=klxI0yvJFrg) 2021-11-25T16:00Z 1.1M followers, 33.9K engagements "How to Convert From Polar Coordinates to Rectangular Coordinates (Precalculus - Trigonometry 37) How to use trigonometric relationships to change Polar Coordinate represented points into Rectangular Coordinate represented points Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=nyab0CZK2BE) 2021-11-24T16:15Z 1.1M followers, 38.6K engagements "Introduction to Polar Coordinates (Precalculus - Trigonometry 36) What Polar Coordinates are how to plot them and why they are used in math. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=Ol_a6LEdo3M) 2021-11-18T16:00Z 1.1M followers, 62.1K engagements "Simple Harmonic Motion in Trig (Precalculus - Trigonometry 35) A brief discussion of Simple Harmonic Motion how it is related to Sine and Cosine and the functional models it creates. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=qTXlBIgny10) 2021-11-17T16:00Z 1.1M followers, 39.9K engagements "How to Find the Area of a Triangle with Trigonometry (Precalculus - Trigonometry 34) How to find the area of a triangle without explicitly knowing the height. The area formulas will find the area of a triangle if Side-Angle-Side or Side-Side-Side is known. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=_i9t-ldjG7o) 2021-11-16T16:00Z 1.1M followers, 42K engagements "How to Use the Law of Cosines in Trigonometry (Precalculus - Trigonometry 33) An Introduction into the Law of Cosines how it is related to Pythagorean Theorem and how to find missing sides and angles if Side-Angle-Side or Side-Side-Side is known in a triangle. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=HOI_PnFG67Q) 2021-11-15T21:35Z 1.1M followers, 29.5K engagements "How to Use the Law of Sines in Trigonometry (Precalculus - Trigonometry 32) What the Law of Sines is When it works and how to use it to find missing sides and angles in oblique triangles. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=-izzbKILEM0) 2021-11-11T20:30Z 1.1M followers, 34.7K engagements "How to Use Product to Sum and Sum to Product Formulas in Trig (Precalculus - Trigonometry 29) Several examples of the Product to Sum and Sum to Product Formulas for Sine and Cosine that are used in Trigonometry. Proofs of the formulas are also demonstrated. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=tHdcvWNNXZE) 2021-11-10T18:30Z 1.1M followers, 31.2K engagements "How to Use the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 28) LOTS of examples of using the Double Angle and Half Angle formulas in Trigonometry. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=Pf6p6lCs5I8) 2021-11-09T04:46Z 1.1M followers, 46.1K engagements "Proving the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 27) The proofs of Double Angle Formulas and Half Angle Formulas for Sine Cosine and Tangent. These proofs help understand where these formulas come from and will also help in developing future identities. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=Epa2mi8hzBA) 2021-10-27T21:25Z 1.1M followers, 54.6K engagements "Using Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 26) How to use the Sum and Difference Formulas to find angles in Trigonometry including Inverse Trig functions Unit Circle applications and proofs of phase shift identities for Sine and Cosine. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=xw4HLT3TmIU) 2021-10-25T20:52Z 1.1M followers, 31.1K engagements "Introduction to Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 25) What the Sum and Difference formulas are for the three basic trig functions where they come from and how to use them to find exact solutions to angles that are not on the Unit Circle. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=9R5Nz1eYddM) 2021-10-20T21:19Z 1.1M followers, 53.1K engagements "Finding Sides and Angles with Right Triangle Trigonometry (Precalculus - Trigonometry 31) How to find missing sides and angles of Right triangles using Right Triangle Trigonometry. Focus is on using the basic trig functions Sine (sin) Cosine (cos) and Tangent (tan). Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=OHiZDKUwlQ4) 2021-10-18T19:32Z 1.1M followers, 28.1K engagements "Introduction to Right Triangle Trigonometry (Precalculus - Trigonometry 30) What Sine Cosine Tangent and the reciprocal functions refer to in a Right Triangle and how to use them. Also discussed is the Co-Function relationships and the identities that come from them. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=Sy_ZCtD2tWo) 2021-10-13T21:04Z 1.1M followers, 28.8K engagements "How to Prove Trigonometric Identities (Precalculus - Trigonometry 24) A very in-depth look at proving trigonometric identities. Several techniques are explored in many different examples of solving trig functions. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=az_veh1FLbo) 2021-09-20T21:24Z 1.1M followers, 73.1K engagements "Introduction to Using Trigonometric Identities (Precalculus - Trigonometry 23) A quick look at Trig Identities and how to use them. Basic identities such as the Pythagorean Identity Reciprocal Identities and Even/Odd Identities are explored. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=yIMR-3c1wP8) 2021-09-08T20:57Z 1.1M followers, 70.9K engagements "How to Solve Trigonometric Equations (Precalculus - Trigonometry 22) A very In-Depth look into solving equations that involve trig functions. We will focus on solving equations without having to use inverse trigonometric functions and relating solutions to the unit circle. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=hBk7OnEYPcw) 2021-09-01T23:05Z 1.1M followers, 87.2K engagements "An Indepth Look at Using Inverse Trig Functions (Precalculus - Trigonometry 21) A very detailed explanation of Inverse Trigonometric Functions and how to use them in conjunction with Basic Trig Functions. Pretty much all you need to know about using inverse trig functions. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=1f6BhHlkgy4) 2021-08-26T15:00Z 1.1M followers, 36.1K engagements "How to Solve Basic Inverse Trigonometric Functions (Precalculus - Trigonometry 20) A very brief introduction to solving equations that involve inverse trigonometric functions. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=PEwUFrx-vPA) 2021-08-23T15:00Z 1.1M followers, 27.9K engagements "How to Find Inverse Trigonometric Functions (Precalculus - Trigonometry 19) A step by step approach to find inverse trig functions along with their domain and range. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=Ru9Xbd01Jk8) 2021-08-19T15:00Z 1.1M followers, 30.2K engagements "How to Use Inverse Trigonometric Functions (Precalculus - Trigonometry 18) An in-depth look at how to use inverse trig functions and how they relate to basic trig functions. The domain and range of these functions is also thoroughly discussed. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=6PB76VMNiX0) 2021-08-16T16:51Z 1.1M followers, 46.9K engagements "Introduction to Inverse Trigonometric Functions (Precalculus - Trigonometry 17) What Inverse Trigonometric Functions are where they come from and why we need to restrict domain to be able to use them. Special focus will be on the nature of one-to-one functions and how they relate to the common trigonometric functions. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=ih01YszlraY) 2021-08-12T12:00Z 1.1M followers, 78.2K engagements "How to Graph Phase Shifts of Trigonometric Functions (Precalculus - Trigonometry 16) How to perform Horizontal shifts called a Phase shift or Horizontal Translation on trigonometric functions. While only Sine and Cosine are demonstrated these techniques can be with all trig functions. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=bE5PFI-ibT8) 2021-08-09T12:00Z 1.1M followers, 38.6K engagements "How to Graph Cosecant and Secant (Precalculus - Trigonometry 15) An introduction to the graphs of Secant and Cosecant by using their relationships with Cosine and Sine. Transformations are also explored and explained. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=kYIKNTXaf_E) 2021-08-05T12:00Z 1.1M followers, 26.1K engagements "Graphing Transformations with Tangent and Cotangent (Precalculus - Trigonometry 14) How to graph the Tangent function and the Cotangent function with transformations. Focus is on Vertical translation amplitude reflection and manipulating the period. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=i4rr_J1VbkY) 2021-08-02T23:07Z 1.1M followers, 29.4K engagements "How to Graph Tangent and Cotangent (Precalculus - Trigonometry 13) The basics of graphing the Tangent and Cotangent functions why the graphs look like they do along with discussion of vertical asymptotes intercepts and key points. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=8eMEBrPYJ0I) 2021-06-22T17:34Z 1.1M followers, 41.4K engagements "Graphing Transformations with Sine and Cosine (Precalculus - Trigonometry 12) How to Graph Sine and Cosine (sin and cos) along with all their transformations as easily as possible (Phase shifting or horizontal translation is a separate video). Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=dyXT5KMCrPk) 2021-06-09T17:42Z 1.1M followers, 52.5K engagements "The Graphs of Sine and Cosine (Precalculus - Trigonometry 11) The graphs of Sine and Cosine (sin and cos) and where they come from. Much of this video is focused on WHY the graphs look the way they do. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=3HHgZopzL_s) 2021-05-26T17:56Z 1.1M followers, 55.3K engagements "Pythagorean Identities for Trigonometric Functions (Precalculus - Trigonometry 10) How to use Even Odd and Pythagorean Identities in trigonometry and where they come from. Special focus will be paid to the Unit Circle and corollaries of the typical Pythagorean Identities. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=huP3v7iZuLM) 2021-05-15T13:00Z 1.1M followers, 42.8K engagements "Reciprocal Identities in Trigonometry (Precalculus - Trigonometry 9) How the reciprocal identities in trigonometry work and how to use them. The major focus will be on connecting the ideas of a Unit circle with Right Triangle Trigonometry. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=98jDUsZ2JYA) 2021-04-29T15:00Z 1.1M followers, 40.3K engagements "Basic Properties of Trigonometric Functions (Precalculus - Trigonometry 8) A discovery of the basic properties of Trigonometric Functions and why they work. Also a technique for using the period of Trig Functions to simplify angles more than 2pi. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=_dTRpq_yGIc) 2021-04-26T15:00Z 1.1M followers, 68.9K engagements "How to Use the Unit Circle in Trigonometry (Precalculus - Trigonometry 7) How to use the Unit Circle to evaluate Trigonometric Functions; Sine Cosine Tangent Secant Cosecant and Cotangent. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=GdRZfemxTFI) 2021-03-25T19:00Z 1.1M followers, 74.6K engagements "Trigonometric Functions and the Unit Circle (Precalculus - Trigonometry 6) The creation of the Unit Circle and how it relates to Right Triangle Trigonometry and the creation of Trigonometric Functions. Support: https://www.patreon.com/ProfessorLeonard Trig Trigonometry Trigonometric Unit Circle Trig Trigonometry Trigonometric Unit Circle" [YouTube Link](https://youtube.com/watch?v=__nefjOhVks) 2021-03-09T19:50Z 1.1M followers, 111.4K engagements "Area of a Sector Angular Velocity Applications (Precalculus - Trigonometry 5) How to find the Area of a Sector Arc Length on a great circle of a sphere Angular Velocity Rotational Velocity and other applications. Support: https://www.patreon.com/ProfessorLeonard" [YouTube Link](https://youtube.com/watch?v=x6wnYbOBCic) 2021-02-25T17:57Z 1.1M followers, 48.6K engagements Limited data mode. Full metrics available with subscription: lunarcrush.com/pricing
@professorleonard Professor Leonard
Professor Leonard posts on YouTube about how to, math, patreon, study the most. They currently have [---------] followers and [---] posts still getting attention that total [------] engagements in the last [--] hours.
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Social Influence
Social category influence finance
Social topic influence how to, math #701, patreon, study #1862, to the, solve, angle #407, domain, derivatives #71, in the
Top Social Posts
Top posts by engagements in the last [--] hours
"Calculus [--] Lecture 1.1: An Introduction to Limits https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 1.1: An Introduction to Limits Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Limit Calculus (Field Of Study) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Limit Calculus (Field Of Study)"
YouTube Link 2012-08-22T21:22Z 1.1M followers, 3.6M engagements
"Statistics Lecture 1.1: The Key Words and Definitions For Elementary Statistics https://www.patreon.com/ProfessorLeonard Statistics Lecture 1.1: The Key Words and Definitions For Elementary Statistics Professor Leonard Statistics (Field Of Study) Lecture (Type Of Public Presentation) Math Definition (Quotation Subject) Professor Leonard Statistics (Field Of Study) Lecture (Type Of Public Presentation) Math Definition (Quotation Subject)"
YouTube Link 2011-12-08T20:31Z 1.1M followers, 1.1M engagements
"One to One Functions (Precalculus - College Algebra 50) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com What one-to-one functions are how to determine one-to-one-ness and why they are important to inverse functions Math Leonard Professor Leonard Precalculus College Algebra One-to-One Function Inverse Math Leonard Professor Leonard Precalculus College Algebra One-to-One Function Inverse"
YouTube Link 2020-10-26T17:24Z 1.1M followers, 79.3K engagements
"Calculus [--] Lecture 7.1: Integration By Parts Calculus [--] Lecture 7.1: Integration By Parts Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Integration By Parts Robot Math Integral (Literature Subject) Calculus (Field Of Study) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Integration By Parts Robot Math Integral (Literature Subject) Calculus (Field Of Study)"
YouTube Link 2014-02-13T02:13Z 1.1M followers, 878.4K engagements
"Power Functions (Precalculus - College Algebra 28) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com A quick study of Power Functions and how they will be used to determine End-Behavior of Polynomials. Leonard Professor Leonard Math Precalculus College Algebra Polynomial Power Function End Behavior Leonard Professor Leonard Math Precalculus College Algebra Polynomial Power Function End Behavior"
YouTube Link 2020-08-24T19:32Z 1.1M followers, 95.2K engagements
"Introduction to Functions (Precalculus - College Algebra 2) Support: https://professor-leonard.myshopify.com/ Cool Mathy Merch: https://professor-leonard.myshopify.com/ What Functions are and how we can determine when a relationship is a function and when it is not. Math Leonard Professor Leonard Precalculus College Algebra Function Dependent Variable Independent Variable Domain Range Math Leonard Professor Leonard Precalculus College Algebra Function Dependent Variable Independent Variable Domain Range"
YouTube Link 2019-08-28T16:53Z 1.1M followers, 592.3K engagements
"Calculus [--] Lecture 9.1: Convergence and Divergence of Sequences Calculus [--] Lecture 9.1: Convergence and Divergence of Sequences Calculus (Concepts/Theories) Divergence Lecture (Type Of Public Presentation) Leonard Sequences Calculus (Field Of Study) Math Calculus (Concepts/Theories) Divergence Lecture (Type Of Public Presentation) Leonard Sequences Calculus (Field Of Study) Math"
YouTube Link 2014-03-25T03:31Z 1.1M followers, 1.4M engagements
"Calculus [--] Lecture 1.5: Slope of a Curve Velocity and Rates of Change https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 1.5: Slope of a Curve Velocity and Rates of Change Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Slope (Dimension) Math Curve Calculus (Field Of Study) Velocity (Dimension) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Slope (Dimension) Math Curve Calculus (Field Of Study) Velocity (Dimension)"
YouTube Link 2012-08-28T01:20Z 1.1M followers, 517.5K engagements
"Calculus [--] Lecture 9.9: Approximation of Functions by Taylor Polynomials Calculus [--] Lecture 9.9: Approximation of Functions by Taylor Polynomials Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Math Taylor Taylor Series (Mathematical Concept) Polynomial Calculus (Field Of Study) Taylor's Theorem Function (Literature Subject) Function Approximation Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Math Taylor Taylor Series (Mathematical Concept) Polynomial Calculus (Field Of Study) Taylor's Theorem Function (Literature Subject) Function"
YouTube Link 2014-04-30T00:44Z 1.1M followers, 357.7K engagements
"Calculus [--] Lecture 1.2: Properties of Limits. Techniques of Limit Computation https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 1.2: Properties of Limits. Techniques of Limit Computation Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Limit Limit Of A Function Calculus (Field Of Study) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Limit Limit Of A Function Calculus (Field Of Study)"
YouTube Link 2012-08-23T02:08Z 1.1M followers, 1.9M engagements
"How to Prove Trigonometric Identities (Precalculus - Trigonometry 24) A very in-depth look at proving trigonometric identities. Several techniques are explored in many different examples of solving trig functions. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-09-20T21:24Z 1.1M followers, 73.1K engagements
"Calculus [--] Lecture 4.1: An Introduction to the Indefinite Integral Calculus [--] Lecture 4.1: An Introduction to the Indefinite Integral Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Antiderivative Integral (Literature Subject) Calculus (Field Of Study) Math Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Antiderivative Integral (Literature Subject) Calculus (Field Of Study) Math"
YouTube Link 2014-01-21T23:14Z 1.1M followers, 861.4K engagements
"How to Study for Math (TTP Video 1) https://www.patreon.com/ProfessorLeonard Study tips which WILL help you to be more successful in mathematics. These come from real research and my own experience. Enjoy"
YouTube Link 2017-08-16T19:21Z 1.1M followers, 322.5K engagements
"Introduction to Linear Differential Equations and Integrating Factors (Differential Equations 15) https://www.patreon.com/ProfessorLeonard How to solve Linear First Order Differential Equations and the theory behind the technique of using an Integrating Factor. Math Leonard Differential Equations Linear Linear Differential Equations First order Math Leonard Differential Equations Linear Linear Differential Equations First order"
YouTube Link 2018-10-22T19:48Z 1.1M followers, 359.1K engagements
"Calculus [--] Lecture 3.3: The First Derivative Test for Increasing and Decreasing Calculus [--] Lecture 3.3: The First Derivative Test for Increasing and Decreasing of Functions Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) First Derivative Test Math Calculus (Field Of Study) Second Derivative Test Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) First Derivative Test Math Calculus (Field Of Study) Second Derivative Test"
YouTube Link 2014-01-16T18:09Z 1.1M followers, 266.9K engagements
"Calculus [--] Lecture 13.9: Constrained Optimization with LaGrange Multipliers Calculus [--] Lecture 13.9: Constrained Optimization with LaGrange Multipliers: How to use the Gradient and LaGrange Multipliers to perform Optimization with constraints on Multivariable Functions. Math Calculus Calculus [--] Leonard Professor Leonard Mulitvariable Function Optimization Constrained Gradient LaGrange Multiplier LaGrange Multiplier Constrained Optimization Math Calculus Calculus [--] Leonard Professor Leonard Mulitvariable Function Optimization Constrained Gradient LaGrange Multiplier LaGrange Multiplier"
YouTube Link 2016-04-15T20:18Z 1.1M followers, 395.1K engagements
"Calculus [--] Lecture 6.2: Derivatives of Inverse Functions Calculus [--] Lecture 6.2: Derivatives of Inverse Functions Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Derivative Inverse Function Math Inverse Functions And Differentiation Calculus (Field Of Study) Function (Literature Subject) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Derivative Inverse Function Math Inverse Functions And Differentiation Calculus (Field Of Study) Function (Literature Subject)"
YouTube Link 2014-01-22T19:09Z 1.1M followers, 412.6K engagements
"Calculus [--] Lecture 13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.) Calculus [--] Lecture 13.2: Limits and Continuity of Multivariable Functions: How to show a limit exits or Does Not Exist for Multivariable Functions (including Squeeze Theorem). Also how to determine regions of continuity. Calculus Calculus [--] Math Professor Leonard Leonard Multivariable Function Squeeze Theorem Limit Limits Continuity Calculus Calculus [--] Math Professor Leonard Leonard Multivariable Function Squeeze Theorem Limit Limits Continuity"
YouTube Link 2016-03-10T18:33Z 1.1M followers, 667.6K engagements
"Calculus [--] Lecture 13.6: Finding Directional Derivatives and Gradients Calculus [--] Lecture 13.6: Finding Directional Derivatives and Gradients: How to find a Directional Derivative along the path of any given vector. Also an introduction to the Gradient and some basics on how it is used. Leonard Professor Leonard Calculus Calculus [--] Math Vector Gradient Derivative Directional Derivative Leonard Professor Leonard Calculus Calculus [--] Math Vector Gradient Derivative Directional Derivative"
YouTube Link 2016-04-02T18:45Z 1.1M followers, 477.6K engagements
"Proving the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 27) The proofs of Double Angle Formulas and Half Angle Formulas for Sine Cosine and Tangent. These proofs help understand where these formulas come from and will also help in developing future identities. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-10-27T21:25Z 1.1M followers, 54.6K engagements
"How to Solve Bernoulli Differential Equations (Differential Equations 23) https://www.patreon.com/ProfessorLeonard An explanation on how to solve Bernoulli Differential Equations with substitutions and several examples. Math Professor Leonard Differential Equations Solve Bernoulli Equations Math Professor Leonard Differential Equations Solve Bernoulli Equations"
YouTube Link 2018-12-03T21:46Z 1.1M followers, 244.6K engagements
"Simple Harmonic Motion in Trig (Precalculus - Trigonometry 35) A brief discussion of Simple Harmonic Motion how it is related to Sine and Cosine and the functional models it creates. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-17T16:00Z 1.1M followers, 39.9K engagements
"Calculus [--] Lecture 11.1: An Introduction to Vectors Calculus [--] Lecture 11.1: An Introduction to Vectors: Discovering Vectors with focus on adding subtracting position vectors unit vectors and magnitude. magnitude vector calculus position vector unit vector math professor leonard magnitude vector calculus position vector unit vector math professor leonard"
YouTube Link 2016-01-27T00:42Z 1.1M followers, 2.6M engagements
"Calculus [--] Lecture 12.4: Velocity and Acceleration of Vector Functions Calculus [--] Lecture 12.4: Velocity and Acceleration of Vector Functions: How to find the Velocity and Acceleration of a particle when the particular motion is described by a vector function (space curve). How to integrate to find a position function from acceleration or velocity. How to define acceleration as "T" and "N". A look at Projectile Motion. Velocity Acceleration Space Curve Vector Vector Function TNB Frenet-Serret Projectile Motion Integration Math Calculus [--] Professor Leonard Velocity Acceleration Space Curve"
YouTube Link 2016-03-07T18:01Z 1.1M followers, 162.5K engagements
"Solving Systems of Linear Equations by Graphing (TTP Video 48) https://www.patreon.com/ProfessorLeonard A graphical interpretation and explanation of the solution to a system of linear equations as the intersection of two lines"
YouTube Link 2017-10-06T15:14Z 1.1M followers, 30.1K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 3: Testing a Claim about a Population Proportion"
YouTube Link 2011-12-02T23:48Z 973K followers, [----] engagements
"Calculus [--] Lecture 5.4: Finding the Length of a Curve on a Plane Calculus [--] Lecture 5.4: Finding the Length of a Curve on a Plane"
YouTube Link 2014-01-24T02:13Z 958K followers, 307.8K engagements
"Equilibrium Solutions and Stability of Differential Equations (Differential Equations 36) https://www.patreon.com/ProfessorLeonard Exploring Equilibrium Solutions and how critical points relate to increasing and decreasing populations"
YouTube Link 2019-06-18T00:02Z 1.1M followers, 149.2K engagements
"What in the World Happened to Professor Leonard I thought I'd give you all an update about what's been going on Hope everyone of you is doing well :) Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2022-04-07T03:22Z 1.1M followers, 378.2K engagements
"Intermediate Algebra Lecture 9.1: Compound Inequalities (Inequalities with "And" and "Or") https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 9.1: Compound Inequalities (Inequalities with "And" and "Or")"
YouTube Link 2012-02-07T21:42Z 913K followers, 29.2K engagements
"Introduction to Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 25) What the Sum and Difference formulas are for the three basic trig functions where they come from and how to use them to find exact solutions to angles that are not on the Unit Circle. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-10-20T21:19Z 1.1M followers, 53.1K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 5: Finding the Center of a Data Set"
YouTube Link 2011-08-30T17:25Z 1M followers, [----] engagements
"The Difference Between Expressions and Equations (TTP Video 2) https://www.patreon.com/ProfessorLeonard This will compare Expressions and Equations. It will also describe how to identify each and what is possible in each type of math statement"
YouTube Link 2017-08-16T20:50Z 1.1M followers, 55.5K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 5: Testing a Claim about a Population Proportion"
YouTube Link 2011-12-05T23:43Z 1M followers, [----] engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 4: Testing a Claim about a Population Proportion"
YouTube Link 2011-12-05T22:59Z 1M followers, [----] engagements
"Prealgebra Lecture [---] Part [--] Prealgebra Lecture [---] Part 1: Solving Problems with Sales Tax Commission and Discount"
YouTube Link 2011-11-23T23:55Z 1M followers, [---] engagements
"Solving a Formula for a Given Variable (TTP Video 18) https://www.patreon.com/ProfessorLeonard How to Solve a formula for a given variable using different techniques. You will need this for almost every other math class you ever take"
YouTube Link 2017-09-05T00:05Z 996K followers, [----] engagements
"How to Graph Advanced Polar Equations with Symmetry (Precalculus - Trigonometry 42) How to graph Polar Equations WITHOUT converting into Rectangular Equations by using symmetry of Polar Functions and plotting a limited number or points. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-30T16:00Z 1.1M followers, 139.3K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 1: Hypothesis Testing Involving Variance and Standard Deviation"
YouTube Link 2011-12-10T00:39Z 958K followers, 10.3K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 2: Testing a Claim about a Population Proportion"
YouTube Link 2011-12-02T22:55Z 961K followers, [----] engagements
"Calculus [--] Lecture 4.4: The Evaluation of Definite Integrals Calculus [--] Lecture 4.4: The Evaluation of Definite Integrals"
YouTube Link 2014-01-22T00:09Z 1M followers, 277.9K engagements
"Calculus [--] Lecture 7.4: Integration By Partial Fractions Calculus [--] Lecture 7.4: Integration By Partial Fractions"
YouTube Link 2014-03-05T00:03Z 1M followers, 828.5K engagements
"Introduction to Solving Logarithms and Exponentials (Precalculus - College Algebra 57) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to solve logarithms by using exponentials (without common bases) and how to solve exponentials by using logarithms (without common bases). The focus of the video will be on using notation change to solve the equations. More advanced techniques will be discussed in subsequent videos"
YouTube Link 2020-11-04T18:37Z 911K followers, 43.7K engagements
"Introduction to Polar Coordinates (Precalculus - Trigonometry 36) What Polar Coordinates are how to plot them and why they are used in math. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-18T16:00Z 1.1M followers, 62.1K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 6: Finding Confidence Intervals for the Population Proportion"
YouTube Link 2011-11-07T22:58Z 983K followers, [----] engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 2: Estimating Population Mean from the Sample Mean Population Standard Deviation -- Unknown"
YouTube Link 2011-11-16T23:28Z 1M followers, [----] engagements
"Calculus [--] Lecture [---] Part [--] Calculus [--] Lecture [---] Part 3: The Chain Rule for Derivatives"
YouTube Link 2012-03-07T21:48Z 1M followers, [----] engagements
"Calculus [--] Lecture 6.5: Calculus of Inverse Trigonometric Functions Calculus [--] Lecture 6.5: Calculus of Inverse Trigonometric Functions"
YouTube Link 2014-01-31T01:03Z 1M followers, 341.7K engagements
"Reducible Second Order Differential Equations Missing Y (Differential Equations 26) https://www.patreon.com/ProfessorLeonard How so solve Reducible Second Order Differential Equations by making a substitution when missing the "y" variable"
YouTube Link 2019-01-30T20:50Z 1M followers, 121.1K engagements
"Calculus [--] Lecture 0.3: Review of Trigonometry and Graphing Trigonometric Functions https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 0.3: Review of Trigonometry and Graphing Trigonometric Functions"
YouTube Link 2012-05-23T20:51Z 910K followers, 549.9K engagements
"Separable Differential Equations (Differential Equations 12) https://www.patreon.com/ProfessorLeonard How to solve Separable Differential Equations by Separation of Variables. Lots of examples"
YouTube Link 2018-10-10T22:33Z 1M followers, 351K engagements
"Prealgebra Lecture [---] Part [--] Prealgebra Lecture [---] Part 3: Solving Problems with Sales Tax Commission and Discount"
YouTube Link 2011-11-29T03:34Z 990K followers, [---] engagements
"Introduction to Linear Equations (TTP Video 5) https://www.patreon.com/ProfessorLeonard An explanation of the basic properties of Linear Equations"
YouTube Link 2017-08-22T21:39Z 1.1M followers, 44.4K engagements
"Calculus [--] Lecture 6.7: Evaluating Limits of Indeterminate Forms Calculus [--] Lecture 6.7: Evaluating Limits of Indeterminate Forms"
YouTube Link 2014-02-06T01:40Z 936K followers, 285K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 8: An Introduction to Hypothesis Testing"
YouTube Link 2011-11-30T23:02Z 980K followers, [----] engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 9: An Introduction to Hypothesis Testing"
YouTube Link 2011-11-30T23:20Z 962K followers, [----] engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 3: Probability Distributions Mean and Standard Deviation"
YouTube Link 2011-10-03T23:07Z 1M followers, [----] engagements
"Calculus [--] Lecture 9.6: Absolute Convergence Ratio Test and Root Test For Series Calculus [--] Lecture 9.6: Absolute Convergence Ratio Test and Root Test For Series"
YouTube Link 2014-04-09T00:53Z 915K followers, 362.4K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 1: Testing a Claim about a Population Proportion"
YouTube Link 2011-12-03T01:56Z 956K followers, [----] engagements
"Introduction to Inverse Trigonometric Functions (Precalculus - Trigonometry 17) What Inverse Trigonometric Functions are where they come from and why we need to restrict domain to be able to use them. Special focus will be on the nature of one-to-one functions and how they relate to the common trigonometric functions. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-12T12:00Z 1.1M followers, 78.2K engagements
"The Quotient Rule for Exponents (TTP Video 73) https://www.patreon.com/ProfessorLeonard An explanation of the Quotient Rule for Exponents how it is used to divide monomials and how it relates to Negative Exponents"
YouTube Link 2017-11-11T22:06Z 982K followers, [----] engagements
"Long Division of Polynomials (TTP Video 78) https://www.patreon.com/ProfessorLeonard How to properly set up and perform Long Division of Polynomials. We will focus specifically on examples where synthetic division does not apply"
YouTube Link 2017-11-15T20:51Z 1.1M followers, 37.2K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 2: Testing a Claim about a Population Mean when Population Standard Deviation is Known"
YouTube Link 2011-12-06T00:07Z 979K followers, [----] engagements
"Calculus [--] Lecture 7.3: Integrals By Trigonometric Substitution Calculus [--] Lecture 7.3: Integrals By Trigonometric Substitution"
YouTube Link 2014-02-26T02:30Z 982K followers, 661.1K engagements
"Statistics Lecture [---] Part [--] Statistics Lecture [---] Part 1: Testing a Claim about a Population Mean when Population Standard Deviation is Known"
YouTube Link 2011-12-06T00:02Z 999K followers, [----] engagements
"Graphing Exponential Functions with Transformations (Precalculus -College Algebra 53) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to use transformations to graph exponential functions. The focus of this video is recognizing how key points and asymptotes can be identified and used at shifted locations on a coordinate system"
YouTube Link 2020-10-29T18:41Z 913K followers, 34.3K engagements
"An Introduction to Percents (TTP Video 12) https://www.patreon.com/ProfessorLeonard What Percents mean and how they work"
YouTube Link 2017-08-30T17:03Z 1M followers, 11.2K engagements
"Statistics Lecture 7.5: Confidence Intervals for Variance and Std Dev. Chi-Squared Distribution. https://www.patreon.com/ProfessorLeonard Statistics Lecture 7.5: Finding Confidence Intervals Involving Variance and Standard Deviation. Using the Chi-Squared Distribution"
YouTube Link 2011-12-15T06:55Z 1M followers, 116.4K engagements
"Introduction to Time Rate of Change (Differential Equations 5) https://www.patreon.com/ProfessorLeonard An explanation of Time Rate of Change and how it is a basic Differential Equation where time is our independent variable"
YouTube Link 2018-09-24T19:43Z 1M followers, 171.8K engagements
"Statistics Lecture 6.3: The Standard Normal Distribution. Using z-score Standard Score https://www.patreon.com/ProfessorLeonard Statistics Lecture 6.3: Applications of the Standard Normal Distribution. Using z-score Standard Score"
YouTube Link 2011-12-13T05:10Z 1.1M followers, 193.2K engagements
"Calculus [--] Lecture 3.5: Limits of Functions at Infinity Calculus [--] Lecture 3.5: Limits of Functions at Infinity"
YouTube Link 2014-01-16T21:25Z 1.1M followers, 338.6K engagements
"The Future What the next few years will look like for this channel"
YouTube Link 2017-08-16T19:11Z 1.1M followers, 25.3K engagements
"Properties of Functions - Extrema (Precalculus - College Algebra 10) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to find and define Local/Relative Maximum and Minimum and Absolute Maximum and Minimum"
YouTube Link 2019-10-30T16:36Z 1.1M followers, 79.5K engagements
"The Graphs of Sine and Cosine (Precalculus - Trigonometry 11) The graphs of Sine and Cosine (sin and cos) and where they come from. Much of this video is focused on WHY the graphs look the way they do. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-05-26T17:56Z 1.1M followers, 55.3K engagements
"Calculus [--] Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series Calculus [--] Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series"
YouTube Link 2014-04-18T19:09Z 1.1M followers, 744.6K engagements
"Calculus [--] Lecture 2.8: Related Rates Calculus [--] Lecture 2.8: Related Rates"
YouTube Link 2014-01-15T23:22Z 1.1M followers, 461.2K engagements
"Intermediate Algebra Lecture 13.2: A Study of Conic Sections -- Ellipse and Hyperbola. https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 13.2: A Study of Conic Sections -- Ellipse and Hyperbola"
YouTube Link 2012-02-11T06:00Z 1.1M followers, 67K engagements
"Properties of Functions - Even vs Odd (Precalculus - College Algebra 8) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ A Graphical and Algebraic exploration of Even Functions and Odd Functions"
YouTube Link 2019-10-16T17:18Z 1.1M followers, 118.4K engagements
"Calculus [--] Lecture 15.1: INTRODUCTION to Vector Fields (and what makes them Conservative) Calculus [--] Lecture 15.1: INTRODUCTION to Vector Fields (and what makes them Conservative): What Vector Fields are and what they look like. We discuss graphing Vector Fields in 2-D and 3-D and talk about what a Conservative Vector Field means"
YouTube Link 2016-05-05T00:06Z 1.1M followers, 386.9K engagements
"Solving Exact Differential Equations (Differential Equations 29) https://www.patreon.com/ProfessorLeonard Some practice and further explanation solving Exact Differential Equations"
YouTube Link 2019-03-20T21:27Z 1.1M followers, 123K engagements
"Intro to Precalculus (Precalculus - College Algebra 1) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ How the Precalculus Series will be filmed and what it will entail"
YouTube Link 2019-08-26T16:41Z 1.1M followers, 875.9K engagements
"Calculus [--] Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions"
YouTube Link 2014-01-14T19:11Z 1.1M followers, 403.7K engagements
"Calculus [--] Lecture 9.5: Showing Convergence With the Alternating Series Test Finding Error of Sums Calculus [--] Lecture 9.5: Showing Convergence With the Alternating Series Test Finding Error of Sums"
YouTube Link 2014-04-04T00:50Z 1.1M followers, 364.6K engagements
"Introduction to Radians (Precalculus - Trigonometry 3) Where Radians come from how they are related to the arc length of a circle and why many formulas only work in radian measured angles. Support: https://www.patreon.com/ProfessorLeonard Radian Radian"
YouTube Link 2021-02-09T20:25Z 1.1M followers, 60.6K engagements
"Calculus [--] Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily) https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily)"
YouTube Link 2012-08-29T23:55Z 1.1M followers, 491.2K engagements
"Calculus [--] Lecture 5.2: Volume of Solids By Disks and Washers Method Calculus [--] Lecture 5.2: Volume of Solids By Disks and Washers Method"
YouTube Link 2014-01-23T23:22Z 1.1M followers, 695.9K engagements
"Average Rate of Change of a Function (Precalculus - College Algebra 11) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to find the Average Rate of Change of a Function and what it is used to represent in Calculus"
YouTube Link 2019-11-06T20:18Z 1.1M followers, 102.9K engagements
"Calculus [--] Lecture 14.3: Double Integrals over POLAR REGIONS Calculus [--] Lecture 14.3: Double Integrals over POLAR REGIONS: How to perform Double Integrals over regions using Polar Coordinates/Equations. How to translate Rectangular Double integrals into Polar Double integrals"
YouTube Link 2016-04-21T17:50Z 1.1M followers, 668.7K engagements
"Introduction to Initial Value Problems (Differential Equations 4) https://www.patreon.com/ProfessorLeonard Exploring Initial Value problems in Differential Equations and what they represent. An extension of General Solutions to Particular Solutions"
YouTube Link 2018-09-22T03:39Z 1.1M followers, 434K engagements
"Intermediate Algebra Lecture 6.4: Factoring Polynomials (Trinomials) in General https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 6.4: Factoring Polynomials (Trinomials) in General"
YouTube Link 2014-08-25T21:57Z 1.1M followers, 79.9K engagements
"Calculus [--] Lecture 12.3: Arc Length/Parameterization TNB (Frenet-Serret) Intro Calculus [--] Lecture 12.3: Arc Length/Parameterization TNB (Frenet-Serret) Intro: How to find the arc length and arc length function of a vector function (space curve). How to reparameterize a vector function by arc length. An introduction to Movable Frames; TNB Frames or Frenet-Serret Frames and what they mean"
YouTube Link 2016-02-27T00:25Z 1.1M followers, 341.7K engagements
"Calculus [--] Lecture 13.4: Finding Differentials of Multivariable Functions Calculus [--] Lecture 13.4: Finding Differentials of Multivariable Functions: A review of Differentials from Calculus [--] and an extrapolation towards Differentials with more than [--] Independent Variable. Focus will be on the derivation of the idea of Differentials and the application of Differentials in Word Problems"
YouTube Link 2016-03-21T23:17Z 1.1M followers, 311.2K engagements
"Calculus [--] Lecture 3.1: Increasing/Decreasing and Concavity of Functions Calculus [--] Lecture 3.1: Discussion of Increasing and Decreasing Intervals. Discussion of Concavity of functions"
YouTube Link 2014-01-16T01:16Z 1.1M followers, 457.4K engagements
"Review of Compound Interest (Precalculus - College Algebra 65) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How exponentials and logarithms can be used to solve applications of finance involving compound interest"
YouTube Link 2020-11-11T23:18Z 1.1M followers, 23.5K engagements
"Calculus [--] Lecture 1.4: Continuity of Functions https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 1.4: Continuity of Functions"
YouTube Link 2012-08-27T22:14Z 1.1M followers, 744.4K engagements
"Finding Sides and Angles with Right Triangle Trigonometry (Precalculus - Trigonometry 31) How to find missing sides and angles of Right triangles using Right Triangle Trigonometry. Focus is on using the basic trig functions Sine (sin) Cosine (cos) and Tangent (tan). Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-10-18T19:32Z 1.1M followers, 28.1K engagements
"Green's Theorem: Calculus [--] Lecture [----] Green's Theorem: Calculus [--] Lecture 15.5: An explanation of Green's Theorem and how to apply it for Line Integrals of Simple Closed Curves on Non-Conservative Vector Fields"
YouTube Link 2016-05-19T19:40Z 1.1M followers, 412.9K engagements
"Intermediate Algebra Lecture 12.2: An Introduction to Inverse Functions https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 12.2: An Introduction to Inverse Functions"
YouTube Link 2012-05-07T18:33Z 1.1M followers, 35.5K engagements
"Numerical Integration With Trapezoidal and Simpson's Rule Calculus [--] Lecture 4.6: Numerical Integration With the Trapezoidal Rule and Simpson's Rule"
YouTube Link 2014-05-15T21:16Z 1.1M followers, 460.3K engagements
"Calculus [--] Lecture 2.7: Implicit Differentiation Calculus [--] Lecture 2.7: Implicit Differentiation"
YouTube Link 2014-01-15T21:39Z 1.1M followers, 577.4K engagements
"Calculus [--] Lecture 11.3: Using the Dot Product Calculus [--] Lecture 11.3: Using the Dot Product: Explanation of the Dot Product Finding the angle between two vectors including how the Dot Production show orthogonal vectors Vector Projection Work and Direction angles"
YouTube Link 2016-01-29T21:15Z 1.1M followers, 444.2K engagements
"Solving Equations Using Multiplication and Division (TTP Video 4) https://www.patreon.com/ProfessorLeonard How to solve basic Linear equations using Multiplication and Division. Focus will be on inverse operations keeping equality of both sides and obtaining "1" instead of "0""
YouTube Link 2017-08-21T16:59Z 1.1M followers, 19.8K engagements
"Calculus [--] Lecture 12.1: An Introduction To Vector Functions Calculus [--] Lecture 12.1: An Introduction To Vector Functions: The interpretation of Vector Functions and How to graph Vector Functions. Focus is on the graphing of 3-D Vector Functions"
YouTube Link 2016-02-18T16:51Z 1.1M followers, 449.9K engagements
"Solving Systems of Linear Equations by Substitution (TTP Video 49) https://www.patreon.com/ProfessorLeonard Using the Substitution Method to solve systems of Linear Equations and avoid graphing"
YouTube Link 2017-10-07T01:22Z 1.1M followers, 26.7K engagements
"How to Graph Phase Shifts of Trigonometric Functions (Precalculus - Trigonometry 16) How to perform Horizontal shifts called a Phase shift or Horizontal Translation on trigonometric functions. While only Sine and Cosine are demonstrated these techniques can be with all trig functions. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-09T12:00Z 1.1M followers, 38.6K engagements
"Features of Graphs Domain Range (Precalculus - College Algebra 7) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com Finding Point Domain Range and other features of graphs of functions"
YouTube Link 2019-10-09T20:58Z 1.1M followers, 125.2K engagements
"Finding Inverse Functions (Precalculus - College Algebra 51) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to find the inverse of a one-to-one function and how to restrict the domain to create certain one-to-one functions"
YouTube Link 2020-10-28T01:12Z 1.1M followers, 80.2K engagements
"Intermediate Algebra Lecture 13.1: A Study of Conic Sections -- Parabola and Circle. https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 13.1: A Study of Conic Sections -- Parabola and Circle"
YouTube Link 2012-02-11T05:16Z 1.1M followers, 98.2K engagements
"Using the Substitution Method with Fractions (TTP Video 50) https://www.patreon.com/ProfessorLeonard How to use the Substitution Method on systems of linear equations involving fractions and why we want to avoid it"
YouTube Link 2017-10-07T16:51Z 1.1M followers, 24.3K engagements
"How to Solve Trigonometric Equations (Precalculus - Trigonometry 22) A very In-Depth look into solving equations that involve trig functions. We will focus on solving equations without having to use inverse trigonometric functions and relating solutions to the unit circle. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-09-01T23:05Z 1.1M followers, 87.2K engagements
"Introduction to Systems of Linear Equations (TTP Video 47) https://www.patreon.com/ProfessorLeonard What a System of Linear Equations represents and how to find a solution"
YouTube Link 2017-10-04T19:28Z 1.1M followers, 115.3K engagements
"Statistics Lecture 6.4: Sampling Distributions Statistics. Using Samples to Approx. Populations https://www.patreon.com/ProfessorLeonard Statistics Lecture 6.4: Sampling Distributions of Sample Statistics. Using Samples to Approx. Populations"
YouTube Link 2011-12-13T07:23Z 1.1M followers, 198.3K engagements
"Calculus [--] Lecture 13.8: Finding Extrema of Functions of [--] Variables (Max and Min) Calculus [--] Lecture 13.8: Finding Extrema of Functions of [--] Variables (Max and Min): How to find Relative (Local) and Absolute Extrema of [--] Variable Functions. Optimization is also discussed"
YouTube Link 2016-04-13T01:12Z 1.1M followers, 565.7K engagements
"Statistics Lecture 3.4: Finding Z-Score Percentiles and Quartiles and Comparing Standard Deviation https://www.patreon.com/ProfessorLeonard Statistics Lecture 3.4: Finding the Z-Score Percentiles and Quartiles and Comparing Standard Deviation"
YouTube Link 2011-12-09T11:35Z 1.1M followers, 304.1K engagements
"Distribution of Monomials (TTP Video 68) https://www.patreon.com/ProfessorLeonard How to Multiply a Monomial onto Polynomials. Basic Distribution and how to apply the rules of exponents"
YouTube Link 2017-11-04T20:07Z 1.1M followers, [----] engagements
"Introduction to Slope Fields (Differential Equations 9) https://www.patreon.com/ProfessorLeonard A constructive approach to Slope Fields and how they work. Individual exploration with a Computer Graphing application is highly recommended"
YouTube Link 2018-10-04T00:14Z 1.1M followers, 148.2K engagements
"Calculus [--] Lecture 13.1: Intro to Multivariable Functions (Domain Sketching Level Curves) Calculus [--] Lecture 13.1: Intro to Multivariable Functions (Domain Sketching Level Curves): Working with Multivariable Functions with an emphasis on finding Domain Sketching Domain Sketching Functions and finding both Level Curves and Contour Plots"
YouTube Link 2016-03-10T18:33Z 1.1M followers, 776.9K engagements
"Exponential Growth and Decay (Precalculus - College Algebra 66) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com A discussion of Exponential growth and decay including population modeling half-life and Newton's Law of Cooling"
YouTube Link 2020-11-13T01:40Z 1.1M followers, 71.6K engagements
"Calculus [--] Lecture 15.3: How to Compute Line Integrals (Over Non-Conservative V.Fields) Calculus [--] Lecture 15.3: How to Compute Line Integrals (and Over Non-Conservative V.Fields): An Introduction to Line Integrals and techniques of computation. Also how to find Line Integrals over Vector Fields and an interpretation of their meaning"
YouTube Link 2016-05-12T20:01Z 1.1M followers, 554.9K engagements
"Using Factoring to Solve Quadratics (Precalculus - College Algebra 18) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to factor quadratics and a real cool short-cut"
YouTube Link 2020-01-29T22:35Z 1.1M followers, 72.1K engagements
"The Plan for Differential Equations (Differential Equations 1) https://www.patreon.com/ProfessorLeonard What to expect from Differential Equations on this channel"
YouTube Link 2018-08-22T16:34Z 1.1M followers, 863.2K engagements
"Calculus [--] Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces Calculus [--] Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces: How to find a tangent plane and/or a normal line to any surface (multivariable function) at a point. This is based on the ability to find the gradient of a function"
YouTube Link 2016-04-05T01:02Z 1.1M followers, 348.7K engagements
"Graphs of Exponential Functions (Precalculus - College Algebra 52) Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com An introduction to the graphs of exponential functions with a focus on why they look the way they do and how to identify key points and asymptotes"
YouTube Link 2020-10-28T17:22Z 1.1M followers, 62K engagements
"How to Evaluate Functions (Precalculus - College Algebra 3) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ How to evaluate functions of both constants and other functions (composition of functions). Also discussed is the Difference Quotient and it's use"
YouTube Link 2019-09-04T20:43Z 1.1M followers, 281.7K engagements
"Calculus [--] Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume) Calculus [--] Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume): What Triple Integrals mean and methods of solving them. Also discussed is the idea of a triple integral representing mass and volume of a 3-D region. Center of Mass is also covered but more examples in 14.7)"
YouTube Link 2016-04-28T19:28Z 1.1M followers, 818.2K engagements
"Calculus [--] Lecture 4.3: Area Under a Curve Limit Approach Riemann Sums Calculus [--] Lecture 4.3: Area Under a Curve Limit Approach Riemann Sums"
YouTube Link 2014-01-22T02:16Z 1.1M followers, 494.9K engagements
"Introduction to Graph Transformations (Precalculus - College Algebra 14) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to use Transformations to Graph basic functions and why the transformations do what they do. Leonard Math Precalculus College Algebra Professor Leonard Transformations Graphs Library of Functions Shifting Strectch Compression Translation Leonard Math Precalculus College Algebra Professor Leonard Transformations Graphs Library of Functions Shifting Strectch Compression Translation"
YouTube Link 2019-12-06T01:05Z 1.1M followers, 196.5K engagements
"Calculus [--] Lecture 3.4: The Second Derivative Test for Concavity of Functions Calculus [--] Lecture 3.4: The Second Derivative Test for Concavity of Functions Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Math Second Derivative Test Calculus (Field Of Study) Concave Function Function (Literature Subject) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Math Second Derivative Test Calculus (Field Of Study) Concave Function Function (Literature Subject)"
YouTube Link 2014-01-16T18:47Z 1.1M followers, 215.3K engagements
"Calculus [--] Lecture 3.6: How to Sketch Graphs of Functions Calculus [--] Lecture 3.6: How to Sketch Graphs of Functions Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Math Calculus (Field Of Study) Graph Of A Function Function (Literature Subject) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Math Calculus (Field Of Study) Graph Of A Function Function (Literature Subject)"
YouTube Link 2014-01-16T22:09Z 1.1M followers, 402.7K engagements
"Calculus [--] Lecture 6.1: The Natural Log Function Calculus [--] Lecture 6.1: The Natural Log Function Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Natural Logarithm Calculus (Field Of Study) Logarithm (Literature Subject) Function (Literature Subject) Math Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Natural Logarithm Calculus (Field Of Study) Logarithm (Literature Subject) Function (Literature Subject) Math"
YouTube Link 2014-01-18T02:21Z 1.1M followers, 1.9M engagements
"How to Graph with Transformations (Precalculus - College Algebra 15) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to use Transformations to quickly sketch functions. math leonard Professor Leonard Precalculus College Algebra Functions Graph Transformation Shift Vertical Shift Horizontal Shift Reflection Compression Stretch math leonard Professor Leonard Precalculus College Algebra Functions Graph Transformation Shift Vertical Shift Horizontal Shift Reflection Compression Stretch"
YouTube Link 2019-12-19T22:46Z 1.1M followers, 86.9K engagements
"Calculus [--] Lecture 3.7: Optimization; Max/Min Application Problems Calculus [--] Lecture 3.7: Optimization; Max/Min Application Problems Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Mathematical Optimization Calculus (Field Of Study) Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Mathematical Optimization Calculus (Field Of Study)"
YouTube Link 2014-01-16T23:11Z 1.1M followers, 490K engagements
"How to Graph Basic Polar Equations (Precalculus - Trigonometry 41) An introduction to graphing Polar Equations by converting them into Rectangular Equations and graphing them as conic sections or basic functions in the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-29T21:18Z 1.1M followers, 47.9K engagements
"How to Graph Cosecant and Secant (Precalculus - Trigonometry 15) An introduction to the graphs of Secant and Cosecant by using their relationships with Cosine and Sine. Transformations are also explored and explained. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-05T12:00Z 1.1M followers, 26.1K engagements
"Surface And Flux Integrals Parametric Surf. Divergence/Stoke's Theorem: Calculus [--] Lecture 15.6_9 Surface And Flux Integrals Parametric Surf. Divergence/Stoke's Theorem: Calculus [--] Lecture 15.6_9: How to Parameterize a Surface How to perform Surface Integrals How to do Surface Integrals of Vector Fields (Flux Integrals) The application of The Divergence Theorem and the application of Stoke's Theorem. Math Calculus Calculus [--] Professor Leonard Vector Integral Surface Integral Parametric Surfaces Flux Integral Vector Field Divergence Theorem Stoke's Theorem Line Integral Math Calculus Calculus"
YouTube Link 2016-05-21T01:59Z 1.1M followers, 1.1M engagements
"Proof by Mathematical Induction (Precalculus - College Algebra 73) How to prove summation formulas by using Mathematical Induction. Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com"
YouTube Link 2020-12-02T18:52Z 1.1M followers, 120.4K engagements
"Calculus [--] Lecture 4.5: The Fundamental Theorem of Calculus Calculus [--] Lecture 4.5: The Fundamental Theorem of Calculus Leonard Calculus (Concepts/Theories) Fundamental Theorem Of Calculus Lecture (Type Of Public Presentation) Math Calculus (Field Of Study) Leonard Calculus (Concepts/Theories) Fundamental Theorem Of Calculus Lecture (Type Of Public Presentation) Math Calculus (Field Of Study)"
YouTube Link 2014-01-22T23:49Z 1.1M followers, 475.7K engagements
"Introduction to Using Trigonometric Identities (Precalculus - Trigonometry 23) A quick look at Trig Identities and how to use them. Basic identities such as the Pythagorean Identity Reciprocal Identities and Even/Odd Identities are explored. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-09-08T20:57Z 1.1M followers, 70.9K engagements
"How to Use the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 28) LOTS of examples of using the Double Angle and Half Angle formulas in Trigonometry. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-09T04:46Z 1.1M followers, 46.1K engagements
"Prealgebra Lecture 10.1: Adding and Subtracting Polynomials. https://www.patreon.com/ProfessorLeonard Prealgebra Lecture 10.1: Adding and Subtracting Polynomials. Professor Leonard Polynomial (Literature Subject) Subtraction Lecture (Type Of Public Presentation) Mathematics (Field Of Study) Pre-algebra (Field Of Study) Professor Leonard Polynomial (Literature Subject) Subtraction Lecture (Type Of Public Presentation) Mathematics (Field Of Study) Pre-algebra (Field Of Study)"
YouTube Link 2012-01-31T07:07Z 1.1M followers, 23.8K engagements
"Trigonometric Functions and the Unit Circle (Precalculus - Trigonometry 6) The creation of the Unit Circle and how it relates to Right Triangle Trigonometry and the creation of Trigonometric Functions. Support: https://www.patreon.com/ProfessorLeonard Trig Trigonometry Trigonometric Unit Circle Trig Trigonometry Trigonometric Unit Circle"
YouTube Link 2021-03-09T19:50Z 1.1M followers, 111.4K engagements
"What are Exact Differential Equations (Differential Equations 28) https://www.patreon.com/ProfessorLeonard An explanation of the origin use and solving of Exact Differential Equations Math Leonard Professor Leonard Differential Equations Differential Equations Exact Differential Equations Total Differential Exact Differential Math Leonard Professor Leonard Differential Equations Differential Equations Exact Differential Equations Total Differential Exact Differential"
YouTube Link 2019-03-13T19:55Z 1.1M followers, 205.1K engagements
"Descartes Rule of Signs (Precalculus - College Algebra 33) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How Descartes Rule of Signs can be used to determine the number of positive and negative x-intercepts of a Polynomial function. Math Leonard Professor Leonard Descartes Descartes Rule of Signs College Algebra Precalculus x-intercept Zero Root Function Polynomial Math Leonard Professor Leonard Descartes Descartes Rule of Signs College Algebra Precalculus x-intercept Zero Root Function Polynomial"
YouTube Link 2020-09-23T17:08Z 1.1M followers, 43.9K engagements
"Intermediate Algebra Lecture 6.1: Factoring the Greatest Common Factor (GCF) https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 6.1: Factoring the Greatest Common Factor (GCF) Math Algebra (Field Of Study) Greatest Common Divisor Lecture (Type Of Public Presentation) Leonard Math Algebra (Field Of Study) Greatest Common Divisor Lecture (Type Of Public Presentation) Leonard"
YouTube Link 2014-08-21T22:49Z 1.1M followers, 447K engagements
"Calculus [--] Lecture 0.2: Introduction to Functions. https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 0.2: Introduction to Functions. Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Calculus (Field Of Study) Function (Literature Subject) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Math Calculus (Field Of Study) Function (Literature Subject)"
YouTube Link 2012-05-23T20:01Z 1.1M followers, 1.2M engagements
"Introduction to Polynomial Functions (Precalculus - College Algebra 27) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com What polynomial functions are how they are organized and their important features. Math Professor Leonard Precalculus College Algebra Polynomial Function Math Professor Leonard Precalculus College Algebra Polynomial Function"
YouTube Link 2020-08-10T19:20Z 1.1M followers, 136.3K engagements
"How to Graph Tangent and Cotangent (Precalculus - Trigonometry 13) The basics of graphing the Tangent and Cotangent functions why the graphs look like they do along with discussion of vertical asymptotes intercepts and key points. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-06-22T17:34Z 1.1M followers, 41.4K engagements
"Calculus [--] Lecture 2.1: Introduction to the Derivative of a Function https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 2.1: Introduction to the Derivative of a Function Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Math Calculus (Field Of Study) Derivative (Literature Subject) Functional Derivative Function (Literature Subject) Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Math Calculus (Field Of Study) Derivative (Literature Subject) Functional Derivative Function (Literature Subject)"
YouTube Link 2012-08-29T21:39Z 1.1M followers, 749.4K engagements
"Calculus [--] Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions) Calculus [--] Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions): How to find the slope of a tangent line to a surface in the X-Direction and Y-Direction. Focus is on the concept of a partial derivative and several examples. Also included is implicit differentiation and higher order partial derivatives. Calculus Calculus [--] Professor Leonard Math Multivariable Multivariable Functions Derivatives Partial Derivatives Implicit Differentiation Slope Tangent Line Surface Calculus Calculus 3"
YouTube Link 2016-03-14T23:03Z 1.1M followers, 643.6K engagements
"Finding the Domain of Functions (Precalculus - College Algebra 4) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ What the Domain means for functions what to look for and how to find it for basic functions. Math Leonard Professor Leonard Precalculus College Algebra Domain Function Math Leonard Professor Leonard Precalculus College Algebra Domain Function"
YouTube Link 2019-09-14T19:56Z 1.1M followers, 245.6K engagements
"Graphs You Must Know (Precalculus - College Algebra 13) Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ A study of the library of functions used to do transformations. Key points Increasing/Decreasing Domain and Range Even/Odd included. Math Leonard Professor Leonard Graph Library of Functions Precalculus College Algebra Even Odd Math Leonard Professor Leonard Graph Library of Functions Precalculus College Algebra Even Odd"
YouTube Link 2019-11-20T21:39Z 1.1M followers, 98.4K engagements
"Calculus [--] Lecture 2.5: Finding Derivatives of Trigonometric Functions https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 2.5: Finding Derivatives of Trigonometric Functions Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Derivative Trigonometric Functions Math Calculus (Field Of Study) Function (Literature Subject) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Derivative Trigonometric Functions Math Calculus (Field Of Study) Function (Literature Subject)"
YouTube Link 2014-01-14T21:18Z 1.1M followers, 413.5K engagements
"Calculus [--] Lecture 15.2: How to Find Divergence and Curl of Vector Fields Calculus [--] Lecture 15.2: How to Find Divergence and Curl of Vector Fields: An explanation of what Divergence and Curl mean and how to find them for Vector Fields. Calculus Calculus [--] Professor Leonard Leonard Math Vector Vector Field Divergence Curl Calculus Calculus [--] Professor Leonard Leonard Math Vector Vector Field Divergence Curl"
YouTube Link 2016-05-06T22:38Z 1.1M followers, 348.6K engagements
"Statistics Lecture 4.2: Introduction to Probability https://www.patreon.com/ProfessorLeonard Statistics Lecture 4.2: Introduction to Probability Professor Leonard Statistics (Field Of Study) Probability (Measurement System) Lecture (Type Of Public Presentation) Math Professor Leonard Statistics (Field Of Study) Probability (Measurement System) Lecture (Type Of Public Presentation) Math"
YouTube Link 2011-12-10T06:18Z 1.1M followers, 619.1K engagements
"Calculus [--] Lecture 4.2: Integration by Substitution Calculus [--] Lecture 4.2: Integration by Substitution Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Integration By Substitution Calculus (Field Of Study) Integral (Literature Subject) Change Of Variables Leonard Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Integration By Substitution Calculus (Field Of Study) Integral (Literature Subject) Change Of Variables"
YouTube Link 2014-01-21T22:54Z 1.1M followers, 536.5K engagements
"Introduction to Angles (Precalculus - Trigonometry 1) An introduction to Angles and their usage from standard position on the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard Trigonometry Trigonometry"
YouTube Link 2021-01-27T15:25Z 1.1M followers, 95.7K engagements
"Calculus [--] Lecture 0.1: Lines Angle of Inclination and the Distance Formula https://www.patreon.com/ProfessorLeonard Calculus [--] Lecture 0.1: Lines Angle of Inclination and the Distance Formula Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Trigonometry (Field Of Study) Angle (Dimension) Mathematics (Field Of Study) Line (Literature Subject) Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Trigonometry (Field Of Study) Angle (Dimension) Mathematics (Field Of Study) Line (Literature Subject)"
YouTube Link 2012-01-24T09:25Z 1.1M followers, 3.3M engagements
"Calculus [--] Lecture 7.6: Improper Integrals Calculus [--] Lecture 7.6: Improper Integrals Improper Integral Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Integral (Literature Subject) Calculus (Field Of Study) Improper Integral Calculus (Concepts/Theories) Lecture (Type Of Public Presentation) Leonard Integral (Literature Subject) Calculus (Field Of Study)"
YouTube Link 2014-03-12T02:51Z 1.1M followers, 827.3K engagements
"Calculus [--] Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem. Calculus [--] Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem. Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Rolle's Theorem Mean Value Theorem Calculus (Field Of Study) Math Leonard Lecture (Type Of Public Presentation) Calculus (Concepts/Theories) Rolle's Theorem Mean Value Theorem Calculus (Field Of Study) Math"
YouTube Link 2012-03-19T20:33Z 1.1M followers, 254.8K engagements
"Statistics Lecture 1.3: Exploring Categories of Data Levels of Measurement https://www.patreon.com/ProfessorLeonard Statistics Lecture 1.3: Exploring Categories of Data Levels of Measurement Professor Leonard Level Of Measurement Statistics (Field Of Study) Data (Website Category) Math Professor Leonard Level Of Measurement Statistics (Field Of Study) Data (Website Category) Math"
YouTube Link 2011-12-08T21:41Z 1.1M followers, 376K engagements
"I'm BACK - Professor Leonard Update I hope you're ready for more math videos soon Because I'm back and ready to get after it (as soon as I get my white board up :) ) Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2023-01-17T20:23Z 1.1M followers, 324.5K engagements
"What in the World Happened to Professor Leonard I thought I'd give you all an update about what's been going on Hope everyone of you is doing well :) Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2022-04-07T03:22Z 1.1M followers, 378.2K engagements
"How to Graph Advanced Polar Equations with Symmetry (Precalculus - Trigonometry 42) How to graph Polar Equations WITHOUT converting into Rectangular Equations by using symmetry of Polar Functions and plotting a limited number or points. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-30T16:00Z 1.1M followers, 139.3K engagements
"How to Graph Basic Polar Equations (Precalculus - Trigonometry 41) An introduction to graphing Polar Equations by converting them into Rectangular Equations and graphing them as conic sections or basic functions in the rectangular coordinate system. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-29T21:18Z 1.1M followers, 47.9K engagements
"How to Convert From Polar Equations to Rectangular Equations (Precalculus - Trigonometry 40) How to convert equations from Polar form to Rectangular form using trigonometric identities. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-27T16:00Z 1.1M followers, 31.1K engagements
"How to Convert From Rectangular Equations to Polar Equations (Precalculus - Trigonometry 39) How to convert equations from Rectangular form to Polar form using trigonometric identities. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-26T16:00Z 1.1M followers, 25.5K engagements
"How to Convert From Rectangular Coordinates to Polar Coordinates (Precalculus - Trigonometry 38) How to use trigonometric relationships to change Rectangular Coordinate represented points into Polar Coordinate represented points including how to determine the correct quadrant for Tangent Inverse. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-25T16:00Z 1.1M followers, 33.9K engagements
"How to Convert From Polar Coordinates to Rectangular Coordinates (Precalculus - Trigonometry 37) How to use trigonometric relationships to change Polar Coordinate represented points into Rectangular Coordinate represented points Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-24T16:15Z 1.1M followers, 38.6K engagements
"Introduction to Polar Coordinates (Precalculus - Trigonometry 36) What Polar Coordinates are how to plot them and why they are used in math. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-18T16:00Z 1.1M followers, 62.1K engagements
"Simple Harmonic Motion in Trig (Precalculus - Trigonometry 35) A brief discussion of Simple Harmonic Motion how it is related to Sine and Cosine and the functional models it creates. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-17T16:00Z 1.1M followers, 39.9K engagements
"How to Find the Area of a Triangle with Trigonometry (Precalculus - Trigonometry 34) How to find the area of a triangle without explicitly knowing the height. The area formulas will find the area of a triangle if Side-Angle-Side or Side-Side-Side is known. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-16T16:00Z 1.1M followers, 42K engagements
"How to Use the Law of Cosines in Trigonometry (Precalculus - Trigonometry 33) An Introduction into the Law of Cosines how it is related to Pythagorean Theorem and how to find missing sides and angles if Side-Angle-Side or Side-Side-Side is known in a triangle. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-15T21:35Z 1.1M followers, 29.5K engagements
"How to Use the Law of Sines in Trigonometry (Precalculus - Trigonometry 32) What the Law of Sines is When it works and how to use it to find missing sides and angles in oblique triangles. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-11T20:30Z 1.1M followers, 34.7K engagements
"How to Use Product to Sum and Sum to Product Formulas in Trig (Precalculus - Trigonometry 29) Several examples of the Product to Sum and Sum to Product Formulas for Sine and Cosine that are used in Trigonometry. Proofs of the formulas are also demonstrated. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-10T18:30Z 1.1M followers, 31.2K engagements
"How to Use the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 28) LOTS of examples of using the Double Angle and Half Angle formulas in Trigonometry. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-11-09T04:46Z 1.1M followers, 46.1K engagements
"Proving the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 27) The proofs of Double Angle Formulas and Half Angle Formulas for Sine Cosine and Tangent. These proofs help understand where these formulas come from and will also help in developing future identities. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-10-27T21:25Z 1.1M followers, 54.6K engagements
"Using Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 26) How to use the Sum and Difference Formulas to find angles in Trigonometry including Inverse Trig functions Unit Circle applications and proofs of phase shift identities for Sine and Cosine. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-10-25T20:52Z 1.1M followers, 31.1K engagements
"Introduction to Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 25) What the Sum and Difference formulas are for the three basic trig functions where they come from and how to use them to find exact solutions to angles that are not on the Unit Circle. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-10-20T21:19Z 1.1M followers, 53.1K engagements
"Finding Sides and Angles with Right Triangle Trigonometry (Precalculus - Trigonometry 31) How to find missing sides and angles of Right triangles using Right Triangle Trigonometry. Focus is on using the basic trig functions Sine (sin) Cosine (cos) and Tangent (tan). Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-10-18T19:32Z 1.1M followers, 28.1K engagements
"Introduction to Right Triangle Trigonometry (Precalculus - Trigonometry 30) What Sine Cosine Tangent and the reciprocal functions refer to in a Right Triangle and how to use them. Also discussed is the Co-Function relationships and the identities that come from them. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-10-13T21:04Z 1.1M followers, 28.8K engagements
"How to Prove Trigonometric Identities (Precalculus - Trigonometry 24) A very in-depth look at proving trigonometric identities. Several techniques are explored in many different examples of solving trig functions. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-09-20T21:24Z 1.1M followers, 73.1K engagements
"Introduction to Using Trigonometric Identities (Precalculus - Trigonometry 23) A quick look at Trig Identities and how to use them. Basic identities such as the Pythagorean Identity Reciprocal Identities and Even/Odd Identities are explored. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-09-08T20:57Z 1.1M followers, 70.9K engagements
"How to Solve Trigonometric Equations (Precalculus - Trigonometry 22) A very In-Depth look into solving equations that involve trig functions. We will focus on solving equations without having to use inverse trigonometric functions and relating solutions to the unit circle. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-09-01T23:05Z 1.1M followers, 87.2K engagements
"An Indepth Look at Using Inverse Trig Functions (Precalculus - Trigonometry 21) A very detailed explanation of Inverse Trigonometric Functions and how to use them in conjunction with Basic Trig Functions. Pretty much all you need to know about using inverse trig functions. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-26T15:00Z 1.1M followers, 36.1K engagements
"How to Solve Basic Inverse Trigonometric Functions (Precalculus - Trigonometry 20) A very brief introduction to solving equations that involve inverse trigonometric functions. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-23T15:00Z 1.1M followers, 27.9K engagements
"How to Find Inverse Trigonometric Functions (Precalculus - Trigonometry 19) A step by step approach to find inverse trig functions along with their domain and range. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-19T15:00Z 1.1M followers, 30.2K engagements
"How to Use Inverse Trigonometric Functions (Precalculus - Trigonometry 18) An in-depth look at how to use inverse trig functions and how they relate to basic trig functions. The domain and range of these functions is also thoroughly discussed. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-16T16:51Z 1.1M followers, 46.9K engagements
"Introduction to Inverse Trigonometric Functions (Precalculus - Trigonometry 17) What Inverse Trigonometric Functions are where they come from and why we need to restrict domain to be able to use them. Special focus will be on the nature of one-to-one functions and how they relate to the common trigonometric functions. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-12T12:00Z 1.1M followers, 78.2K engagements
"How to Graph Phase Shifts of Trigonometric Functions (Precalculus - Trigonometry 16) How to perform Horizontal shifts called a Phase shift or Horizontal Translation on trigonometric functions. While only Sine and Cosine are demonstrated these techniques can be with all trig functions. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-09T12:00Z 1.1M followers, 38.6K engagements
"How to Graph Cosecant and Secant (Precalculus - Trigonometry 15) An introduction to the graphs of Secant and Cosecant by using their relationships with Cosine and Sine. Transformations are also explored and explained. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-05T12:00Z 1.1M followers, 26.1K engagements
"Graphing Transformations with Tangent and Cotangent (Precalculus - Trigonometry 14) How to graph the Tangent function and the Cotangent function with transformations. Focus is on Vertical translation amplitude reflection and manipulating the period. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-08-02T23:07Z 1.1M followers, 29.4K engagements
"How to Graph Tangent and Cotangent (Precalculus - Trigonometry 13) The basics of graphing the Tangent and Cotangent functions why the graphs look like they do along with discussion of vertical asymptotes intercepts and key points. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-06-22T17:34Z 1.1M followers, 41.4K engagements
"Graphing Transformations with Sine and Cosine (Precalculus - Trigonometry 12) How to Graph Sine and Cosine (sin and cos) along with all their transformations as easily as possible (Phase shifting or horizontal translation is a separate video). Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-06-09T17:42Z 1.1M followers, 52.5K engagements
"The Graphs of Sine and Cosine (Precalculus - Trigonometry 11) The graphs of Sine and Cosine (sin and cos) and where they come from. Much of this video is focused on WHY the graphs look the way they do. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-05-26T17:56Z 1.1M followers, 55.3K engagements
"Pythagorean Identities for Trigonometric Functions (Precalculus - Trigonometry 10) How to use Even Odd and Pythagorean Identities in trigonometry and where they come from. Special focus will be paid to the Unit Circle and corollaries of the typical Pythagorean Identities. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-05-15T13:00Z 1.1M followers, 42.8K engagements
"Reciprocal Identities in Trigonometry (Precalculus - Trigonometry 9) How the reciprocal identities in trigonometry work and how to use them. The major focus will be on connecting the ideas of a Unit circle with Right Triangle Trigonometry. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-04-29T15:00Z 1.1M followers, 40.3K engagements
"Basic Properties of Trigonometric Functions (Precalculus - Trigonometry 8) A discovery of the basic properties of Trigonometric Functions and why they work. Also a technique for using the period of Trig Functions to simplify angles more than 2pi. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-04-26T15:00Z 1.1M followers, 68.9K engagements
"How to Use the Unit Circle in Trigonometry (Precalculus - Trigonometry 7) How to use the Unit Circle to evaluate Trigonometric Functions; Sine Cosine Tangent Secant Cosecant and Cotangent. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-03-25T19:00Z 1.1M followers, 74.6K engagements
"Trigonometric Functions and the Unit Circle (Precalculus - Trigonometry 6) The creation of the Unit Circle and how it relates to Right Triangle Trigonometry and the creation of Trigonometric Functions. Support: https://www.patreon.com/ProfessorLeonard Trig Trigonometry Trigonometric Unit Circle Trig Trigonometry Trigonometric Unit Circle"
YouTube Link 2021-03-09T19:50Z 1.1M followers, 111.4K engagements
"Area of a Sector Angular Velocity Applications (Precalculus - Trigonometry 5) How to find the Area of a Sector Arc Length on a great circle of a sphere Angular Velocity Rotational Velocity and other applications. Support: https://www.patreon.com/ProfessorLeonard"
YouTube Link 2021-02-25T17:57Z 1.1M followers, 48.6K engagements
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