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

2.1   The tangent and velocity problems
2.2   The limit of a function
2.3   Calculating limits using the limit laws
2.4   The precise definition of a limit
2.5   Continuity
2.6   Tangents, velocity and other rates of change

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

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

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

6.1   Area between curves
6.2   Volumes
6.3   Volumes by cylindrical shells

6.5   Average value of a function