Math 75. Mathematical Analysis I. Fall 2003.
Tentative class schedule with reading and homework assignments
This schedule is subject to change.
| Date | Text | Topic | HW Recommended | WeBWorK Assignment |
|---|---|---|---|---|
| Aug 25 | Introduction - First class | |||
| 1.1 | Four ways to represent a function | 1, 23, 31, 37, 53 | ||
| Aug 27 | Calculus readiness test - not a part of your grade | 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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| 1.2 | Mathematical models: a catalog of essential functions | 1, 4 | ||
| Aug 29 | 1.3 | New functions from old functions | 3, 7, 17, 21, 31, 41, 45, 55 | |
| Sep 1 | Labor Day - no classes | |||
| Sep 3 | 2.1 | The tangent and velocity problems | 1, 3, 5, 13, 23 | Problem set 0 (Introduction to WeBWorK) due 11:59 pm. |
| Sep 5 | 2.2 | The limit of a function | 1, 5 | |
| Sep 8 | 2.3 | Calculating limits using the limit laws | 3, 9, 11, 17, 21, 25, 37, 39 | Problem set 1 (covers 1.1, 1.2, and 1.3) due 11:59 pm |
| Sep 10 | 2.5 | Continuity | 1, 3, 15, 35, 39, 45, 51 | |
| Sep 12 | 2.6 | Tangents, Velocities, and Other Rates of Change | 7, 15, 19 | |
| Sep 15 | 3.1 | Derivatives | 3, 7, 13, 19, 25 | Problem set 2 (covers 2.1 and 2.2) due 11:59 pm |
| Sep 17 | 3.2 | The derivative as a function | 1, 4, 9, 19, 21, 25, 27, 35, 41 | |
| Sep 19 | 3.3 | Differentiation formulas | 3, 5, 9, 15, 19, 27, 39, 51, 71, 79 | |
| Sep 22 | Mathematica - meet in EE 182 | Problem set 3 (covers 2.3, 2.5, and 2.6) due 11:59 pm | ||
| Sep 24 | 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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| Sep 26 | Test 1 (covers 1.1 - 3.3) Answers | |||
| Sep 29 | 3.4 | Rates of change in the natural and social sciences | 3, 9, 15, 29 | Problem set 4 (covers 3.1, 3.2, and 3.3) due 11:59 pm |
| Oct 1 | 3.5 | Derivatives of trigonometric functions | 1, 5, 11, 21, 35, 37, 38, 41 | |
| Oct 3 | 3.6 | The chain rule | 1, 7, 11, 17, 23, 31, 45, 53 | |
| Oct 6 | 3.7 | Implicit differentiation | 1, 13, 29, 41 | |
| Oct 8 | 3.8 | Higher derivatives | 1, 5, 17, 25, 29, 33, 39, 43, 57 | |
| Oct 10 | 3.9 | Related rates | 1, 3, 7, 9, 13, 23 | |
| Oct 13 | 3.10 | Linear approximations and differentials | 5, 15, 21, 29 | Problem set 5 (covers 3.4, 3.5, and 3.6) due 11:59 pm |
| Oct 15 | 4.1 | Maximum and minimum values | 3, 7, 15, 25, 33, 45, 51 | |
| Oct 17 | 4.2 | The mean value theorem | 1, 5, 11, 17, 19 | |
| Oct 20 | 4.3 | How derivatives affect the shape of a graph | 5, 11, 17, 22, 35, 52 | Problem set 6 (covers 3.7, 3.8, and 3.9) due 11:59 pm |
| Oct 22 | 4.4 | Limits at infinity; horizontal asymptotes | 1, 3, 7, 9, 19, 21, 27, 43, 47 | |
| Oct 24 | 4.5 | Summary of curve sketching: Example | 1, 9, 15, 33 | |
| Oct 27 | Mathematica - meet in EE 182 | Problem set 7 (covers 3.10, 4.1, and 4.2) due 11:59 pm | ||
| Oct 29 | 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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| Oct 31 | Test 2 (covers 3.4 - 4.5) Answers | |||
| Nov 3 | 4.7 | Optimization problems | 3, 7, 11, 15, 19, 29, 31 | Problem set 8 (covers 4.3, 4.4, and 4.5) due 11:59 pm |
| Nov 5 | 4.9 | Newton's method | 1, 5, 13, 21 | |
| Nov 7 | 4.10 | Antiderivatives | 1, 5, 13, 25, 31, 35, 39, 47, 55, 63, 69 | |
| Nov 10 | 5.1 | Areas and distances | 3, 15, 17, 21 | |
| Nov 12 | 5.2 | The definite integral | 1, 9, 17, 23, 29, 33, 37, 39, 49, 55 | |
| Nov 14 | 5.3 | The fundamental theorem of calculus | 7, 13, 17, 19, 31, 45, 63, 67 | |
| Nov 17 | 5.4 | Indefinite integrals and the net change theorem | 5, 17, 27, 39, 43, 53 | Problem set 9 (covers 4.7, 4.9, and 4.10) due 11:59 pm |
| Nov 19 | 5.5 | The substitution rule | 1, 3, 21, 37, 43, 69, 77 | |
| Nov 21 | 6.1 | Areas between curves | 1, 5, 9, 19, 27, 40, 49 | |
| Nov 24 | 6.2 | Volumes | 1, 5, 11, 15, 35, 43, 49 | Problem set 10 (covers 5.1, 5.2, and 5.3) due 11:59 pm |
| Extra office hours: 11:45-12:45, 2-3 (in addition to the regular office hours 3-5) | ||||
| Nov 26 | Thanksgiving recess - no classes, no office hours | |||
| Nov 28 | ||||
| Dec 1 | 6.3 | Volumes by cylindrical shells | 1, 5, 12, 21, 29, 45 | Problem set 11 (covers 5.4, 5.5, and 6.1) due 11:59 pm |
| Extra office hours: 11:45-12:45, 2-3 (in addition to the regular office hours 3-5) | ||||
| Dec 3 | 6.4 | Work | 1, 3, 9, 13, 19, 21 | |
| Dec 5 | 6.5 | Average value of a function | 5, 9, 17 | |
| Dec 8 | Review: Theory, Prblems, 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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| Dec 10 | Test 3 (covers 4.6 - 6.5) Answers | Problem set 12 (covers 6.2, 6.3, 6.4, and 6.5) due 11:59 pm | ||
| Dec 11 | Consultation day. Office hours: 12-4: Pick up your test! | |||
| Dec 12 | Consultation day. Office hours: 10-2 | |||
| Dec 15 | Office hours: 10-12 | |||
| Dec 16 | Practice final due. | Optional set Review (cumulative) due 11:59 pm. Solutions will be available at midnight |
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| Dec 17 | Office hours: 12-4 | |||
| Dec 19 | 8:45-10:45 am, in McLane 162. Final exam (cumulative). Bring a photo ID ! | |||