Math 75. Mathematical Analysis I. Summer 2005.
Tentative class schedule with reading and homework assignments
This schedule is subject to change.
| Date | Text | Topic | HW Recommended | WeBWorK Assignment |
|---|---|---|---|---|
| May 23 | Introduction - First class Review of algebra, geometry, trigonometry |
App. A: 1, 13, 19, 27, 49 App. B: 1, 7, 21, 29, 35, 37, 47 App. C: 1, 3, 11, 37 App. D: 1, 9, 19, 25, 29, 73 |
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| May 24 | 1.1 | Four ways to represent a function | 1, 23, 31, 37, 53 | Problem set 0 is due at 10:00 pm |
| 1.2 | Mathematical models: a catalog of essential functions | 1, 4, 7 | ||
| May 25 | 1.3 | New functions from old functions | 3, 7, 17, 21, 31, 41, 45, 55 | Problem set 1-1 is due at 10:00 pm |
| May 26 | 2.1 | The tangent and velocity problems | 1, 3, 5 | Problem set 1-3 is due at 10:00 pm |
| 2.2 | The limit of a function | 1, 5, 13, 23 | ||
| May 27 | 2.3 | Calculating limits using the limit laws | 3, 9, 11, 17, 21, 25, 37, 39 | Problem sets 2-1 and 2-2 are due at 10:00 pm |
| May 31 | 2.5 | Continuity | 1, 3, 15, 35, 39, 45, 51 | Problem set 2-3 is due at 10:00 pm |
| 2.6 | Tangents, Velocities, and Other Rates of Change | 7, 15, 19 | ||
| June 1 | 3.1 | Derivatives | 3, 7, 13, 19, 25 | Problem sets 2-5 and 2-6 are due at 10:00 pm |
| 3.2 | The derivative as a function | 1, 4, 9, 19, 21, 25, 27, 35, 41 | ||
| June 2 | 3.3 | Differentiation formulas | 1, 5, 9, 13, 19, 29, 41 | Problem sets 3-1 and 3-2 are due at 10:00 pm |
| June 3 | 3.4 | Rates of change in the natural and social sciences | 3, 9, 15, 29 | Problem set 3-3 is due at 10:00 pm |
| Review: Theory, Problems, Answers | Chapter 1 review: 5, 9, 15, 17, 19 Chapter 2 review: 3, 5, 7, 13, 23, 27 Chapter 3 review: 1, 5, 11, 15, 19, 69 |
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| June 6 | Test 1 (covers 1.1 - 3.4) Solutions | Problem set 3-4 is due at 10:00 pm | ||
| 3.5 | Derivatives of trigonometric functions | 1, 5, 11, 21, 35, 37, 38, 41 | ||
| June 7 | 3.6 | The chain rule | 1, 7, 11, 17, 23, 31, 45, 53 | Problem set 3-5 is due at 10:00 pm |
| June 8 | 3.7 | Implicit differentiation | 1, 13, 29, 41 | Problem set 3-6 is due at 10:00 pm |
| 3.8 | Higher derivatives | 1, 5, 17, 25, 29, 33, 39, 43, 57 | ||
| June 9 | 3.9 | Related rates | 1, 3, 7, 9, 13, 23 | Problem sets 3-7 and 3-8 are due at 10:00 pm |
| 3.10 | Linear approximations and differentials | 5, 15, 21, 29 | ||
| June 10 | 4.1 | Maximum and minimum values | 3, 7, 15, 25, 33, 45, 51 | Problem sets 3-9 and 3-10 are due at 10:00 pm |
| June 13 | 4.2 | The mean value theorem | 1, 5, 11, 17, 19 | Problem set 4-1 is due at 10:00 pm |
| 4.3 | How derivatives affect the shape of a graph | 5, 11, 17, 22, 35, 52 | ||
| June 14 | 4.4 | Limits at infinity; horizontal asymptotes | 1, 3, 7, 9, 19, 21, 27, 43, 47 | Problem sets 4-2 and 4-3 are due at 10:00 pm |
| 4.5 | Summary of curve sketching Example |
1, 9, 15, 33 | ||
| June 15 | Problem set 4-4 is due at 10:00 pm | |||
| Review: Theory, Problems, Answers | Chapter 3 review: 23, 25, 33, 39, 45, 55, 71, 73, 75, 77, 85 Chapter 4 review: 3, 7, 11, 17, 21, 27, 29 |
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| June 16 | Test 2 (covers 3.4 - 4.5), Solutions | |||
| 4.7 | Optimization problems | 3, 7, 11, 15, 19, 29, 31 | ||
| June 17 | ||||
| June 20 | 4.9 | Newton's method | 1, 5, 13, 21 | Problem set 4-5 is due at 10:00 pm |
| 4.10 | Antiderivatives | 1, 5, 13, 25, 31, 35, 39, 47, 55, 63, 69 | ||
| June 21 | Bring graphs for set 4-5 to class | Problem sets 4-7, 4-9 and 4-10 are due at 10:00 pm | ||
| 5.1 | Areas and distances | 3, 15, 17, 21 | ||
| 5.2 | The definite integral | 1, 9, 17, 23, 29, 33, 37, 39, 49, 55 | ||
| June 22 | 5.3 | The fundamental theorem of calculus | 7, 13, 17, 19, 31, 45, 63, 67 | Problem sets 5-1 and 5-2 are due at 10:00 pm |
| 5.4 | Indefinite integrals and the net change theorem | 5, 17, 27, 39, 43, 53 | ||
| June 23 | 5.5 | The substitution rule | 1, 3, 21, 37, 43, 69, 77 | Problem sets 5-3 and 5-4 are due at 10:00 pm |
| 6.1 | Areas between curves | 1, 5, 9, 19, 27, 40, 49 | ||
| June 24 | 6.2 | Volumes | 1, 5, 11, 15, 35, 43, 49 | Problem sets 5-5 and 6-1 are due at 10:00 pm |
| June 27 | 6.3 | Volumes by cylindrical shells | 1, 5, 12, 21, 29, 45 | Problem set 6-2 is due at 10:00 pm |
| 6.5 | Average value of a function | 1, 3, 11, 13, 17 | ||
| June 28 | Review: Theory, Problems, Answers | Chapter 4 review: 41, 47, 49, 55, 57, 61 Chapter 5 review: 1, 3, 5, 7, 13, 19, 25, 33, 37, 49 Chapter 6 review: 1, 5, 7, 9, 13, 15, 23, 27, 31 |
Problem sets 6-3 and 6-5 are due at 10:00 pm | |
| June 29 | Test 3 (covers 4.7 - 6.5), Solutions | |||
| Review: Practice final, Answers | ||||
| June 30 | Mathematica - meet in S2 321 | Optional set Review (for extra credit) is due at 7:00 pm. Solutions will be available at 7:01 pm. | ||
| July 1 | Final exam (cumulative) 7:50-9:50 AM | |||