Section | Section Title | Problems (Unless otherwise indicated, ranges are odds only.) |
1.3 | The Limit of a Function | 3-9, 23, 29-37 |
1.4 | Calculating Limits | 1-27, 33-41, 49-55 |
1.5 | Continuity | 3-7, 11-23, 27-33, 37-41 |
1.6 | Limits Involving Infinity | 1-7, 13-33 |
2.1 | Derivatives and Rates of Change | 3-5, 7ab, 9-19, 25-35, 49 |
2.2 | The Derivative as a Function | 3-11, 19-25, 33-35, 39 |
2.3 | Basic Differentiation Formulas | 1-27, 31-41, 45, 47, 63 |
1.4 | Calculating Limits | 1-29, 33-41, 45, 55 |
2.5 | The Chain Rule | 1-47, 51-53 |
2.6 | Implicit Differentiation | 1-27, 33, 35-37, 41-43 |
2.7 | Related Rates | 1-21, 27, 37 |
2.8 | Linear Approximations and Differentials | 1-3, 17-23, 27 |
3.1 | Maximum and Minimum Values | 3-43, 57 |
3.2 | The Mean Value Theorem | 1-5, 9-11, 15-23 |
3.3 | Derivatives and the Shapes of Graphs | 1-5, 9-31 |
3.4 | Curve Sketching | 1-23, 31, 33 |
3.5 | Optimization Problems | 3, 7, 11-19 |
3.6 | Newton's Method | 3, 7, 23, 25 |
3.7 | Antiderivatives | 1-31, 35, 39-41, 47 |
4.1 | Areas and Distances | 5, 17 |
4.2 | The Definite Integral | 1, 13, 15-17, 19-23, 31-35, 41 |
4.3 | Evaluating Definite Integrals | 1-29, 39, 59, 61 |
4.4 | The Fundamental Theorem of Calculus | 3-19, 27 |
4.5 | The Substitution Rule | 1-47, 57 |
5.1 | Inverse Functions | 3-17, 21-25, 29-43 |
5.2 | The Natural Logarithmic Function | 1-47, 51-63 |
5.3 | The Natural Exponential Function | 3-43, 49, 51-55, 61-67, 71 |