Math 76, Mathematical Analysis II. Fall 2004.
Tentative class schedule with reading and homework assignments
| Date | Text | Topic | HW Recommended | WeBWorK Assignment |
|---|---|---|---|---|
| Aug 23 | Introduction - First class | |||
| 7.1 | Inverse functions | 1, 7, 9, 19, 25, 27, 35 | ||
| Aug 25 | 7.2 | Exponential functions and their derivatives | 3, 9, 13, 15, 29, 35, 51, 61, 71 | |
| Aug 27 | 7.3 | Logarithmic functions | 3, 7, 29, 53, 57, 61, 65 | Problem set 0 (Introduction to WeBWorK) due 11:59 pm |
| Aug 30 | 7.4 | Derivatives of logarithmic functions | 3, 5, 17, 25, 39, 45, 67, 71, 73 | |
| Sep 1 | 7.5 | Inverse trigonometric functions | 1, 3, 7, 23, 29, 59, 61, 65 | Problem set 1 (covers 7.1 and 7.2) due 11:59 pm |
| Sep 3 | 7.7 | Intermediate forms and L'Hospital's rule | 7, 11, 19, 23, 37, 39, 57 | |
| Sep 6 | Labor Day - no classes, no office hours | |||
| Sep 8 | 8.1 | Integration by parts | 3, 5, 7, 9, 13, 25 | Problem set 2 (covers 7.3, 7.4, and 7.5) due 11:59 pm |
| Sep 10 | 8.2 | Trigonometric integrals | 1, 7, 15, 23, 41, 55 | |
| Sep 13 | 8.3 | Trigonometric substitution | 1, 3, 5, 11, 33 | |
| Sep 15 | 8.4 | Integration of rational functions by partial fraction | 1, 7, 9, 15, 21, 39, 47 | Problem set 3 (covers 7.7, 8.1, and 8.2) due 11:59 pm |
| Sep 17 | 8.5 | Strategy for Integration | 1, 3, 5, 7, 9, 11; all exercises are good - do as many as possible | |
| Sep 20 | 8.6 | Integration using tables and computer algebra systems | 1, 3, 5, 7, 9, 11 | |
| Sep 22 | Mathematica - meet in EE 182 | Problem set 4 (covers 8.3, 8.4, and 8.5) due 11:59 pm | ||
| Sep 24 | Review: Problems, Answers and hints, Complete solutions | Chapter 7 review: 1, 3, 7, 11, 17, 23, 29, 31, 63, 75, 95, 101 Chapter 8 review: 1, 7, 9, 15, 25, 31, 55 |
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| Sep 27 | Test 1 (covers 7.1 - 8.6), Solutions | |||
| Sep 29 | 8.7 | Approximate integration | 7, 19 | Problem set 5 (covers 8.6) due 11:59 pm |
| Oct 1 | 8.8 | Improper integrals | 1, 3, 5, 7, 27, 29, 41, 49 | |
| Oct 4 | 9.1 | Arc length | 1, 3, 7, 11 | |
| Oct 6 | 9.2 | Area of a surface of revolution | 1, 3, 5, 7, 13 | Problem set 6 (covers 8.7 and 8.8) due 11:59 pm |
| Oct 8 | 10.1 | Modeling with differential equations | 1, 3, 5, 9, 11 | |
| Oct 11 | 10.2 | Direction fields and Euler's method | 1, 3, 5, 7, 9, 11, 21 | |
| Oct 13 | 10.3 | Separable equations | 1, 3, 7, 11, 13, 19 | Problem set 7 (covers 9.1, 9.2, and 10.1) due 11:59 pm |
| Oct 15 | 10.4 | Exponential growth and decay | 1, 3, 9, 13, 15, 19 | |
| Oct 18 | 11.1 | Curves defined by parametric equations | 5, 7, 11, 15, 19, 25, 28 | |
| Oct 20 | 11.2 | Calculus with parametric curves | 1, 3, 7, 11, 17, 27, 41, 59 | Problem set 8 (covers 10.2, 10.3, and 10.4) due 11:59 pm |
| Oct 22 | 11.3 | Polar coordinates | 1, 3, 5, 7, 9, 13, 17, 23, 35, 54, 55 | |
| Oct 25 | Review: Problems, Answers and hints, Complete solutions | Chapter 8 review: 41, 43, 47, 49, 63 Chapter 9 review: 1, 3, 4, 6 Chapter 10 review: 1, 3, 7, 9, 15 Chapter 11 review: 1, 3, 5, 7, 9, 19, 23, 29, 31 |
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| Oct 27 | Mathematica - meet in EE 182 | Problem set 9 (covers 11.1, 11.2, and 11.3) due 11:59 pm | ||
| Oct 29 | Test 2 (covers 8.7 - 11.3), Solutions | |||
| Nov 1 | 11.4 | Areas and lengths in polar coordinates | 1, 5, 9, 17, 37, 45 | |
| Nov 3 | 11.5 | Conic sections (see also Appendix C, graphs of second degree equations) |
1, 5, 9, 11, 13, 15, 17, 19, 23, 44 | Mathematica project due 11:59 pm scores, solutions |
| Nov 5 | 12.1 | Sequences | 1, 3, 9, 15, 17, 19, 23, 55, 57 | |
| Nov 8 | 12.2 | Series | 11, 17, 21, 23, 27, 35, 37, 41 | |
| Nov 10 | 12.3 | The integral test and estimates of sums | 1, 3, 5, 7, 11, 15, 21 | Problem set 10 (covers 11.4, 11.5, and 12.1) due 11:59 pm |
| Nov 12 | 12.4 | The comparison tests | 1, 3, 5, 7, 13, 15, 33 | |
| Nov 15 | 12.5 | Alternating series | 3, 5, 7, 15, 23, 27 | |
| Nov 17 | 12.6 | Absolute convergence and the ratio and root tests | 3, 5, 17, 25, 29 | Problem set 11 (covers 12.2, 12.3, and 12.4) due 11:59 pm |
| Nov 19 | 12.7 | Strategy for testing series | 1, 3, 5, 7, 9, 11... all exercises are good - do as many as you can | |
| Nov 22 | 12.8 | Power series | 3, 7, 15, 21, 29 | |
| Extra office hours: 3:30-4:50 (in addition to the regular office hours 12-1:30) | ||||
| Nov 23 | Extra office hours: 12-2 | |||
| Nov 24 | Thanksgiving recess - no classes, no office hours | |||
| Nov 26 | ||||
| Nov 29 | 12.9 | Representations of functions as power series | 1, 3, 5, 11, 19, 23, 27 | |
| Extra office hours: 3:30-4:50 (in addition to the regular office hours 12-1:30) | ||||
| Dec 1 | 12.10 | Taylor and Maclaurin series | 1, 5, 11, 15, 23, 33, 39, 47, 55 | Problem set 12 (covers 12.5, 12.6, 12.7) due 11:59 pm |
| Dec 3 | Review: Problems, Answers and hints, Complete solutions | Chapter 11 review: 33, 37, 43, 45, 47, 49 Chapter 12 review: 1, 11, 17, 23, 31, 41, 45, 47, 55 |
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| Dec 6 | Test 3 (covers 11.4-12.10), Solutions | |||
| Dec 8 | Review: Practice final, Solutions to non-graph problems, Graphs | Problem set 13 (covers 12.8, 12.9, and 12.10) due 11:59 pm | ||
| Dec 9 | Consultation day. Office hours: 1-5 pm | |||
| Dec 10 | Consultation day. Office hours: 11 am - 3 pm | |||
| Dec 13 | Office hours: 3-5 pm. | Optional set Review (cumulative) due 11:59 pm.
Solutions will be available at midnight |
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| Dec 14 | Office hours: 1-3 pm. | |||
| Dec 15 | Final exam (cumulative), 1:15 - 3:15 pm, in McL 229. You are allowed to bring and use one letter size sheet of notes (both sides). | |||