Math 75. Mathematical Analysis I. Spring, 2004.
Tentative class schedule with reading and homework assignments
This schedule is subject to change.
| Date | Text | Topic | HW Recommended | WeBWorK Assignment | |
|---|---|---|---|---|---|
| Jan 23 | Introduction - First class | 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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| 1.1 | Four ways to represent a function | 1, 23, 31, 37, 53 | |||
| Jan 26 | 1.2 | Mathematical models: a catalog of essential functions | 1, 4 | ||
| 1.3 | New functions from old functions | 3, 7, 17, 21, 31, 41, 45, 55 | |||
| Jan 28 | 2.1 | The tangent and velocity problems | 1, 3, 5, 13, 23 | Problem set 0 (Introduction to WeBWorK) due 11:59 pm. | |
| Jan 30 | 2.2 | The limit of a function | 1, 5 | ||
| Feb 2 | 2.3 | Calculating limits using the limit laws | 3, 9, 11, 17, 21, 25, 37, 39 | ||
| Feb 4 | 2.5 | Continuity | 1, 3, 15, 35, 39, 45, 51 | Problem set 1 (covers 1.1, 1.2, and 1.3) due 11:59 pm | |
| Feb 6 | 2.6 | Tangents, Velocities, and Other Rates of Change | 7, 15, 19 | ||
| Feb 9 | 3.1 | Derivatives | 3, 7, 13, 19, 25 | ||
| Feb 11 | 3.2 | The derivative as a function | 1, 4, 9, 19, 21, 25, 27, 35, 41 | Problem set 2 (covers 2.1, 2.2, and 2.3) due 11:59 pm | |
| Feb 13 | 3.3 | Differentiation formulas | 3, 5, 9, 15, 19, 27, 39, 51, 71, 79 | ||
| Feb 16 | Presidents' day - no classes | ||||
| Feb 18 | 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 |
Problem set 3 (covers 2.5, 2.6, and 3.1) due 11:59 pm | ||
| Feb 20 | Mathematica - meet in EE 182 | ||||
| Feb 23 | Test 1 (covers 1.1 - 3.3), Solutions | ||||
| Feb 25 | 3.4 | Rates of change in the natural and social sciences | 3, 9, 15, 29 | Problem set 4 (covers 3.2 and 3.3) due 11:59 pm | |
| Feb 27 | 3.5 | Derivatives of trigonometric functions | 1, 5, 11, 21, 35, 37, 38, 41 | ||
| Mar 1 | 3.6 | The chain rule | 1, 7, 11, 17, 23, 31, 45, 53 | ||
| Mar 3 | 3.7 | Implicit differentiation | 1, 13, 29, 41 | Problem set 5 (covers 3.4) due 11:59 pm | |
| Mar 5 | 3.8 | Higher derivatives | 1, 5, 17, 25, 29, 33, 39, 43, 57 | ||
| Mar 8 | 3.9 | Related rates | 1, 3, 7, 9, 13, 23 | ||
| Mar 10 | 3.10 | Linear approximations and differentials | 5, 15, 21, 29 | Problem set 6 (covers 3.5, 3.6, and 3.7) due 11:59 pm | |
| Mar 12 | 4.1 | Maximum and minimum values | 3, 7, 15, 25, 33, 45, 51 | ||
| Mar 15 | 4.2 | The mean value theorem | 1, 5, 11, 17, 19 | ||
| Mar 17 | 4.3 | How derivatives affect the shape of a graph | 5, 11, 17, 22, 35, 52 | Problem set 7 (covers 3.8, 3.9, and 3.10) due 11:59 pm | |
| Mar 19 | 4.4 | Limits at infinity; horizontal asymptotes | 1, 3, 7, 9, 19, 21, 27, 43, 47 | ||
| Mar 22 | 4.5 | Summary of curve sketching: Example | 1, 9, 15, 33 | ||
| Mar 24 | 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 |
Problem set 8 (covers 4.1, 4.2, and 4.3) due 11:59 pm | ||
| Mar 26 | Mathematica - meet in EE 182 | ||||
| Mar 29 | Test 2 (covers 3.4 - 4.5), Solutions | ||||
| Mar 31 | Cesar Chavez Holiday - campus closed | Problem set 9 (covers 4.4 and 4.5) due 11:59 pm | |||
| Apr 2 | 4.7 | Optimization problems | 3, 7, 11, 15, 19, 29, 31 | ||
| Apr 5 | Spring recess - no classes, no office hours | ||||
| Apr 7 | |||||
| Apr 9 | |||||
| Apr 12 | 4.9 | Newton's method | 1, 5, 13, 21 | ||
| Apr 14 | 4.10 | Antiderivatives | 1, 5, 13, 25, 31, 35, 39, 47, 55, 63, 69 | Problem set 10 (covers 4.7) | |
| Apr 16 | 5.1 | Areas and distances | 3, 15, 17, 21 | |
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| 5.2 | The definite integral | 1, 9, 17, 23, 29, 33, 37, 39, 49, 55 | |||
| Apr 19 | |||||
| Apr 21 | 5.3 | The fundamental theorem of calculus | 7, 13, 17, 19, 31, 45, 63, 67 | Problem set 11 (covers 4.9 and 4.10) | |
| Apr 23 | 5.4 | Indefinite integrals and the net change theorem | 5, 17, 27, 39, 43, 53 | ||
| Apr 26 | 5.5 | The substitution rule | 1, 3, 21, 37, 43, 69, 77 | ||
| Apr 28 | 6.1 | Areas between curves | 1, 5, 9, 19, 27, 40, 49 | Problem set 12 (5.1, 5.2, and 5.3) due 11:59 pm | |
| Apr 30 | 6.2 | Volumes | 1, 5, 11, 15, 35, 43, 49 | ||
| May 3 | 6.3 | Volumes by cylindrical shells | 1, 5, 12, 21, 29, 45 | ||
| May 5 | 6.5 | Average value of a function | 5, 9, 17 | Problem set 13 (covers 5.4, 5.5, and 6.1) due 11:59 pm | |
| May 7 | 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 |
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| May 10 | Test 3 (covers 4.7 - 6.5), Solutions | ||||
| May 12 | Review | Problem set 14 (covers 6.2, 6.3, and 6.5; problems on 6.4 are optional) due 11:59 pm |
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| May 14 | Consultation day. Office hours: 9-12, 1-5 | ||||
| May 17 | Office hours: 2-3:30. | ||||
| May 18 | Office hours: 12-5. Practice final due. Answers, Solutions | ||||
| May 19 | Office hours: 3-5 | Optional set Review (cumulative) due 11:59 pm. Solutions will be available at midnight |
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| May 21 | 8:45 - 10:45 in MCL 161. Final exam (cumulative). Bring a photo ID ! | ||||