| Section | Section Title | Practice Problems (Unless otherwise indicated, ranges are odds only.) |
|---|
| 2.1 | Ideas of limits | (1-6 all) 7, 8, 11, 20 |
| 2.2 | Definitions of limits | (1-6 all), 7-9, 23, 27, 29-31 |
| 2.3 | Techniques for computing limits | (1-10 all), 15, 17-23, 25-31, 33, 37, 39-47, 59 |
| 2.4 | Infinite limits | (1-6 all), 9, 11, 15, 17-27, 29, 31, 35, 41 |
| 2.5 | Limits at infinity | (1-8 all), 9-33, 41-49, 51, 57, 67 |
| 2.6 | Continuity | (1-8 all), 9-19, 23, 29, 31, 39, 47, 51-55, 65, 83, 85 |
| 2.7 | Precise definitions of limits | (1-8 all), 9, 11, 15, 19-25, 33 |
| 3.1 | Introducing the derivative | (1-8 all), 9-35, 47, 49, 61, 63 |
| 3.2 | Working with derivatives | (1-4 all), 5-15, 17, 21, 35 |
| 3.3 | Rules of differentiation | (1-6 all), 7-33, 39, 45, 49 |
| 3.4 | Product and quotient rules | (1-6 all), 7-13, 19-27, 37-49, 57, 61, 63 |
| 3.5 | Derivatives of trigonometric functions | (1-6 all), 7-27, 33-47, 49, 57-61 |
| 3.6 | Derivatives as rates of change | (1-8 all), 9 abc, 11, 17, 29, 34, 35 |
| 3.7 | Chain rule | (1-6 all), 7-33, 37, 45, 47, 57, 59, 69 |
| 3.8 | Implicit differentiation | (1-4 all), 5-29, 31, 35, 45, 51 |
| 3.9 | Derivatives of logarithmic and exponential functions | (1-8 all), 9-29, 35-43, 45, 47, 55-59, 61, 63, 69 |
| 3.10 | Derivatives of inverse trigonometric functions | (1-6 all), 7-29, 31, 37-41, 43, 53 |
| 3.11 | Related rates | (1-4 all), 5, 13, 15, 19, 23, 25, 27, 29, 39, 41, 45, 53, (40) |
| 4.1 | Maxima and minima | (1-10 all), 11-21, 23-35 (part a), 37-49 (a,b only), 51, 53, (55) |
| 4.2 | What derivatives tell us | (1-10 all), 11-47, 53-81, 87, 95, (83) |
| 4.3 | Graphing functions | (1-6 all), 7-19, 45, 47, 51, 53, 57, 59, (43) |
| 4.4 | Optimization problems | (1-4 all), 5-11, 15-21, 25, 29, 31, 47, (24) |
| 4.5 | Linear approximations and differentials | (1-6 all), 7, 9, 13-25, 33, 35-39, 41-47, (51) |
| 4.6 | Mean value theorem | (1-6 all), 7-13, 17-23, (25) |
| 4.7 | L'Hopital's rule | (1-12 all), 13-31, 37-53, 55-63, 69, 71, 73, (81) |
| 4.8* | Newton's Method | (1-4 all), 5, 7, 9 (formulate and find only x_1, x_2), (27) |
| 4.9 | Antiderivatives | (1-10 all) 11, 17, 19, 21, 25-35, 37-45, 49, 53, 57, 61, 63, 67-73, 89-91, (101) |
| 5.1 | Approximating areas under curves | (1-8 all), 9, 11, 13, 17, 19, 23, 29, 33, 39, (53) |
| 5.2 | Definite integrals | (1-10 all), 21, 23, 25-51, 69-75, (53) |
| 5.3 | Fundamental theorem of calculus | (1-10 all), 11, 29-53, 61-69, 99-103, 107, (85) |
| 5.4 | Working with integrals | (1-6 all), 7-29, 43, 45, 51-55, 57, (41) |
| 5.5 | The substitution rule | (1-8 all), 13-25, 29, 31, 33, 37, 39-57, 63-67, (61) |