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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
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