Mr Rowe's Calc Youtube Notes

How to generate the Unit Circle

1.1 Introduction to Limits

1.2 Finding Limits Graphically

1.3 Finding Limits Numerically

1.4 Right and Left Handed Limits

1.5 Types of Discontinuities

1.6 Properties of Limits

1.7 Finding Limits Analytically

1.8 Finding Limits Analytically of Complicated Functions 

1.9 Finding Limits Analytically of Sine and Cosine (Part A)

1.10 Finding Limits Analytically of Sine and Cosine (Part B)    

1.11 Squeeze Theorem

1.12 Infinite Limits

1.13 Horizontal Asymptotes

1.14 Finding Continuity Graph. and Anal.

1.15 Continuity with Limits  

1.16 BIG-little Principle

1.17 Intermediate Value Theorem 

2.1a   Secant Slope 2.1b    Secant Slope

2.2   Introduction to Derivatives

2.3   The Definition of a Derivative

2.4   Solving Analytically (Part A)

2.5   Solving Analytically (Part B)

2.6a  Differentiability at a point: Graphical

2.6b  Differentiability at a Point: Algebraic

2.7   Tangent Lines

2.8   The Power Rule

2.9   Rules for Derivatives

2.10 Derivatives of Sine and Cosine

2.11 The Derivative of ln

2.12 The Derivative of e^x

2.13 The Product Rule

2.14 The Quotient Rule

2.15 Derivatives of all the Trig Functions  

3.1 The Chain Rule (Part A)

3.1 The Chain Rule (Part B)

3.1 The Chain Rule (Part C)

3.2 The Derivative of a^x

3.3 The Derivative of log

3.4 Implicit Differentiation

3.5 Derivatives of Inverse Functions

3.6 Derivatives of Inverse Trig Functions

3.7 Second Derivative Implicitly  

4.1 Motion Along a Line

4.2 Related Rates

4.3A Local Linearization 

4.3B Approximation with Local Linearity

4.4 L'Hopital's Rule

5.1 Mean Value Theorem

5.2 Rolle’s Theorem

5.3 Extrema on an Interval

5.4 First Derivative Test

5.5 Second Derivative Test

5.6 Optimization A

5.6 Optimization B

6.1 Introduction to Riemann Sums

6.2 RRAM

6.3 LRAM

6.4 TRAM

6.5 MRAM

6.6 The Def Integral as a limit Sigma Notation  

6.7A Properties of Definite Integrals

6.7B Properties of Definite Integrals (no graph)

6.8 The fundamental Theorem of Calculus (Part 1)

6.9 Introduction to Definite Integrals

6.10 The Fundamental Theorem of Calculus (Part 2)

6.11 Antiderivative

6.12 Introduction to Integration

6.13 Indefinite Integral

6.14 Definite Integral

6.15 U-Substitution Indefinite Integral 

6.16 U-Substitution Definite Integral

6.17A   Integration using long division (Khan Videos)

6.17 B Integration Using Completing the Square (Khan Videos)

7.1a Differential Equations Intro

7.1b Writing Differential Equations

7.2a       Slope Fields

7.2b       Slope Fields

7.3a       Separable Differential Equations

7.3b       Separable Differential Equations

Commonly Missed KA Question

Commonly Missed KA Question #4

7.4a Differential Equations: Specific Solutions

7.4a Differential Equations: Specific Solutions

7.5a       Exponential Models

7.5b       Exponential Models

8.1 Average Value of a Function

8.2 Motion Along a line (with Integrals)

8.3 Word Problems Involving Definite Integrals

8.4A Area Between Curves

8.4B Area Between Curves

8.5 Volume: Known Cross Sections

8.6A Volume: Disk & Washer Method 

8.6B Volume: Disk & Washer Method 

8.6C Volume: Disk & Washer Method