| Section | Topic |
|---|---|
| - | Introduction to the course |
| p. 29-30 | Polynomials |
| 3.1 | Rules for differentiation |
| 1.5 | Review of exponents, exponential functions. The number e. |
| 3.1 | Derivatives of exponential functions |
| 3.2 | Product and quotient rules |
| 3.3 | Rates of change in the natural and social sciences |
| p. 33-34, also Appendix D | Review of trigonometric functions |
| 3.4 | Derivatives of trigonometric functions |
| 3.5 | Chain rule |
| 3.6 | Implicit differentiation |
| 3.7 | Higher derivatives |
| p. 67-71 | Review of logarithms |
| 3.8 | Derivatives of logarithmic functions |
| 3.10 | Related rates |
| 4.1 | Maxima and minima |
| 4.3 | Derivatives the shape of a graph |
| 4.7 | Optimization |
| 5.4 | Antidifferentiation (the indefinite integral) |
| 5.1 | Areas |
| 5.2 | The definite integral |
| 5.3 | The fundamental theorem of calculus |
| 5.5 | The substitution rule |