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 www.geocities.com/gkellymath (Many of the original photos are by Vickie Kelly) If you have trouble viewing the PowerPoint presentations or the formula list, you may need to install one or more of the following: MathType Fonts,  Word Viewer, PowerPoint Viewer
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 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 First Fundamental Theorem	5.5 Trapezoidal Rule
	Chapter 6
6.1 Antiderivatives and Slope Fields	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 Population Growth (Logistic Growth Model)	6.6 Euler’s Method
	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 Disks, Washers and Shells	7.4 Lengths of Curves and Surface Area	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 L'Hôpital's Rule	8.2 Relative Rates of Growth	8.3 Day 1 Improper Integrals
8.3 Day 2 Tests for Convergence	8.4 Day 1 Partial Fractions	8.4 Day 2 Trigonometric Substitution
	Chapter 9
9.1 Power Series	9.2 Day 1 Taylor Series	9.2 Day 2 Finding Common Taylor Series
9.3 Taylor's Theorem: Error Analysis for Series	9.4 Radius of Convergence	9.5 Testing Convergence at End Points
	Chapter 10
10.1 Parametric Functions	10.2 Vectors in the Plane	10.3 Vector-valued Functions
10.4 Modeling Projectile Motion	10.5 Polar Coordinates and Polar Graphs	10.6 Calculus of Polar Curves
	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
Calculus Formulas (MS-Word Handout) Hyperbolic Function (MS-Word Handout)