PowerPoint Lectures
for AB and BC Calculus

These lectures may be freely copied and distributed to calculus teachers and students. 
They may not be sold or included in a commercial product or website without the permission
of Greg Kelly, Hanford High School, Richland Washington

Greg.Kelly@rsd.edu
(Many of the original photos are by Vickie Kelly)

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Chapter 1

1.3 Exponential Functions

1.4 Parametric Equations

1.5 Functions and Logarithms

1.6 Trig Functions

 

 

 

Chapter 2

 

2.1 Day 1 Rates of Change and Limits, Sandwich Theorem

2.1 Day 2 Step Functions; Sandwich Theorem for
sin (x) / x

2.2 Limits Involving Infinity

2.3 Continuity

2.4 Rates of Change and Tangent Lines

 

 

Chapter 3

 

3.1 Derivative of a Function

3.2 Differentiability

3.3 Rules for Differentiation

3.4 Velocity, Speed & Rates of Change

3.5 Derivatives of Trig Functions

3.6 Chain Rule

3.7 Implicit Differentiation

3.8 Derivatives of Inverse Trig Functions

3.9 Derivatives of Exponential and Logarithmic Functions

 

Chapter 4

 

4.1 Extreme Values of Functions

4.2 Mean Value Theorem

4.3 Using Derivatives for Curve Sketching

4.4 Modeling and Optimization

4.5 Linearization and Newton’s Method

4.6 Related Rates

 

Chapter 5

 

5.1 Estimating with Finite Sums

5.2 Definite Integrals

5.3 Definite Integrals and Antiderivatives

5.4 Fundamental Theorem of Calculus

5.5 Trapezoidal Rule

 

 

Chapter 6

 

6.1 Day 1 Antiderivatives and Slope Fields

6.1 Day 2 Euler's Method

6.2 Integration by Substitution and Separable Differential Equations

6.3 Integration by Parts and Tabular Integration

6.4 Exponential Growth and Decay

6.5 Day 1 Partial Fractions

6.5 Day 2 Logistic Growth    

 

Chapter 7

 

7.1 Integral as Net Change

7.2 Areas in the Plane

7.3 Day 1 Volumes by Slicing

7.3 Day 2 Disk and Washer Methods

7.3 Day 3 The Shell Method

7.4 Day 1 Lengths of Curves

7.4 Day 2 Surface Area 7.4 Worksheet: Areas of Surface & Revolution 7.5 Day 1 Work and Pumping Liquids

7.5 Day 2 Fluid Pressure and Forces

7.5 Extra Centers of Mass and Theorems of Pappus

 

 

Chapter 8

 

8.1 Sequences

8.2 Day 1 L'Hopital's Rule

8.2 Day 2 Identifying Indeterminate Forms

8.3 Relative Rates of Growth 8.4 Day 1 Improper Integrals 8.4 Day 2 Tests for Convergence

8 Extra Trigonometric Substitutions

 

 

 

Chapter 9

 

9.1 Power Series

9.2 Day 1 Taylor Series

9.2 Day 2 Finding Common Maclaurin Series

9.3 Taylor's Theorem & Euler's Formula

9.4 Radius of Convergence

9.5 Convergence at End Points

 

Chapter 10

 

10.1 Parametric Functions

10.2 Day 1 Vectors in the Plane

10.2 Day 2 Vector-valued Functions

10.3 Day 1 Polar Coordinates and Graphs

10.3 Day 2 Calculus of Polar Curves

10 Extra Modeling Projectile Motion

 

Chapter 11

 

11.1 Hyperbolic Functions

11.2 Hyperbolic Function Applications

11.3 Functions of Two Independent Variables

11.4 Partial Derivatives

11.5 Double Integration

 

  Supplements  
Calculus Formulas Hyperbolic Functions Read Me

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