Chapter 1. Functions and Models
1.1   Fours ways to represent a function
1.2   Mathematical models
1.3   New functions from old functions
1.4   Graphing calculators and computers

Chapter 2. Limits and rates of change
2.1   The tangent and velocity problems
2.2   The limit of a function
2.3   Calculating limits using the limit laws
2.5   Continuity
2.6   Tangents, velocity and other rates of change

Chapter 3. Derivatives
3.1   Derivatives
3.2   The derivative as a function
3.3   Differentiation formulas
3.4   The rate of change in the natural and social sciences
3.5   Derivatives of trigonometric functions
3.6   The Chain Rule
3.7   Implicit differentiation
3.8   Higher derivatives
3.9   Related Rates
3.10  Linear approximation and differentials

Chapter 4. Applications of the derivative
4.1   Maximum and minimum values
4.2   The Mean Value Theorem
4.3   How derivatives affect the shape of a graph
4.4   Limits at infinity; horizontal asymptotes
4.5   Summary of curve sketching
4.6   Graphing with calculus and calculators
4.7   Optimization problems
4.8   Applications to economics
4.9   Newton's Method
4.10  Antiderivatives

Chapter 5. Integrals
5.1   Areas and distances
5.2   The definite integral
5.3   The Fundamental Theorem of Calculus
5.4   Indefinite integrals and the Total Change Theorem
5.5   The Substitution Rule

Chapter 6. Applications of Integration
6.1   Area between curves
6.2   Volumes
6.3   Volumes by cylindrical shells
6.4   Work
6.5   Average value of a function