Math 75A. Mathematical Analysis with Review IA. Fall 2005.
Tentative class schedule with homework assignments
This schedule is subject to change.
Sections numbered 1-A, 1-B, etc. are from Ebersole (A companion to Calculus);
sections numbered 1.1, 1.2, etc. are from Stewart (Calculus, Early Transcendentals).
| Date | Section and Topic | Recommended Homework | WeBWorK Assignment | |
|---|---|---|---|---|
| Stewart | Ebersole | |||
| Aug 22 | 1-A The Cartesian coordinate plane 1-B Graphs 1-C Lines and their equations 1-D Parallel and intersecting lines 1-E Distance between two points 1-F The circle |
1-A: 1, 3, 5 | ||
| Aug 23 | 1-B: 1, 2, 3, 4 | |||
| Aug 24 | 1-C: 1, 3, 4 1-D: 1, 3, 4 |
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| Aug 26 | 1-E: 1, 4 1-F: 1, 3, 4 |
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| Aug 29 | 2-A Function notation 2-B Domain and range of a function 2-C Different Ways to represent functions 1.1 Four ways to represent a function 2-D The graph of a function |
2-A: 1, 2, 3, 4 | ||
| Aug 30 | 2-B: 1ac, 2bc, 3ac, 4ac, 5 | set 1-ABCDEF due at 11:59 PM | ||
| Aug 31 | 1.1: 1, 19, 23, 33, 37, 45, 47, 53, 57 | 2-C: 1, 2 | set 2-A due at 11:59 PM | |
| Sep 2 | 2-D: 1, 2, 3, 4, 5 | set 2-B due at 11:59 PM | ||
| Last day to add/drop a class without permission of instructor | ||||
| Sep 5 | Labor Day - no classes | |||
| Sep 6 | 2-E Special classes of functions 1.2 Mathematical models: a catalog of essential functions 2-F Transformations of Graphs 1.3 New functions from old functions |
2-E: 1, 3, 5, 7 | set 2-C due at 11:59 PM | |
| Sep 7 | 1.2: 1, 3, 7, 11 | set 1-1 due at 11:59 PM | ||
| Sep 9 | 1.3: 3, 7, 11, 15 | 2-F: 1, 3 | set 1-2 due at 11:59 PM | |
| Sep 12 | 3-A Combinations of functions 3-B Algebraic simplifications of functions 13-A Rules of exponents 13-B The natural exponential function 1.5 Exponential functions |
1.3: 31 | 3-A: 1, 3 | |
| Sep 13 | 1.3: 37, 41 | 3-A: 5 3-B: 1, 5 |
set 2-F due at 11:59 PM | |
| Sep 14 | 13-A: 1, 5, 9. 11 | set 3-A due at 11:59 PM | ||
| Sep 16 | 1.5: 7, 9, 15, 17 | 13-B: 1, 5, 7 | set 3-B due at 11:59 PM | |
| Sep 19 | Last day to add/drop a class with permission of instructor | |||
| 14-A One-to-one functions 14-B Properties of a function and its inverse 1.6 Inverse functions and logarithms 14-C Finding the inverse of a function 15-A Definition and properties of logarithmic functions (started) |
14-A: 2, 3, 4 | set 13-A due at 11:59 PM | ||
| Sep 20 | 14-B: 3, 4, 5 | set 13-B due at 11:59 PM | ||
| Sep 21 | 1.6: 1, 23, 25, 31, 35, 37, 39, 47, 51, 67 | 14-C: 1, 5 | set 14-A due at 11:59 PM | |
| Sep 23 | Review: Theory, Problems, Solutions | Chapter 1 review: 1, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25 | set 14-B due at 11:59 PM | |
| Sep 26 | Test 1, Solutions | set 14-C due at 11:59 PM | ||
| Sep 27 | 15-A Definition and properties of logarithmic functions (continued) 15-B Graphs of logarithmic functions 15-C Solving equations with logarithmic and exponential functions 2.1 The tangent and velocity problems |
15-A: 2, 3, 6 | ||
| Sep 28 | 15-B: 1, 4, 6 15-C: 1 |
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| Sep 30 | 2.1: 3, 5, 7 | set 15-A due at 11:59 PM | ||
| Oct 3 | 2.2 The limit of a function 5-A.2 Vertical asymptotes 5-B.2 Finding a vertical asymptote 2.3 Calculating limits using the limit laws |
2.2: 1, 5, 7, 13, 15, 23, 27 | set 15-B due at 11:59 PM | |
| Oct 4 | 5-A.2: 3, 6(efgh), 7a | set 15-C due at 11:59 PM | ||
| Oct 5 | 5-B.2: 1, 2, 4 | set 2-1 due at 11:59 PM | ||
| Oct 7 | 2.3: 1, 3, 7, 11, 17, 21, 37, 39, 48 | set 2-2 due at 11:59 P | ||
| Oct 10 | 2.5 Continuity 4-A Polynomials 4-B Zeros of a function 2.6 Limits at infinity; horizontal asymptotes |
2.5: 3, 15, 17 | 4-A: 3, 5, 7 | set 5-B2 due at 11:59 PM |
| Oct 11 | 4-B.1: 1, 5 4-B.2: 1, 3 |
set 2-3 due at 11:59 PM | ||
| Oct 12 | 2.5: 23, 31, 37, 41, 42, 47, 49 | set 2-5 due at 11:59 PM | ||
| Oct 14 | 2.6: 3, 5, 13, 17 | set 2-5-continued due at 11:59 PM | ||
| Oct 17 | 5-A.1 Horizontal asymptotes 5-B.1 Finding horizontal asymptotes 6-B Applications 6-C Secant and tangent lines |
5-A.1: 3, 6 5-B.1: 1, 5 |
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| Oct 18 | 2.6: 21, 23, 37, 39 | set 2-6 due at 11:59 PM | ||
| Oct 19 | 6-B: 4, 5, 6, 9 | set 2-6-continued due at 11:59 PM | ||
| Oct 21 | 6-C: 1, 2 | set 5-B due at 11:59 PM | ||
| Oct 24 | 2.7 Tangents, velocities, and other rates of change Mathematica Lab 2.8 Derivatives |
2.7: 3, 7, 9, 15, 17 | set 6-B due at 11:59 PM | |
| Oct 25 | ||||
| Oct 26 | 2.8: 3, 5, 7, 9, 17, 25 | set 6-C due at 11:59 PM | ||
| Oct 28 | Review: Theory, Problems, Solutions | Chapter 2 review: 1, 5, 7, 17, 19, 21, 25, 31, 35, 37, 39 | set 2-8 due at 11:59 PM | |
| Oct 31 | Test 2, Solutions | |||
| Nov 1 | 2.9 The derivative as a function 7-A Negative and rational exponents 3.1 Derivatives of polynomials and exponential functions |
2.9:1, 5, 11, 21, 23, 27, 29 | ||
| Nov 3 | 7-A: 1, 4, 6 | |||
| Nov 4 | 3.1: 7, 17, 21, 23, 39, 45, 50, 55, 59 | set 2-9 due at 11:59 PM | ||
| Nov 7 | 3.2 The product and quotient rules 7-C Simplifying derivatives 3.3 Rates of change in the natural and social sciences 8-A Angle measures |
set 7-A due at 11:59 PM | ||
| Nov 8 | 3.2: 3, 5, 7, 15, 19, 23, 31, 35 | set 3-1 due at 11:59 PM | ||
| Nov 9 | 7-C: 2, 3, 4 | set 3-1-continued due at 11:59 PM | ||
| Nov 11 | 3.3: 1, 13, 15, 21 | set 3-2 due at 11:59 PM | ||
| Nov 14 | 8-B Definition and evaluation of the trigonometric functions handout 8-C Properties and identities for the trigonometric functions 3.4 Derivatives of trigonometric functions |
8-A: 3, 5 | set 7-C due at 11:59 PM | |
| Nov 15 | 8-B: 1, 6 | set 3-3 due at 11:59 PM | ||
| Nov 16 | 8-C: 1, 3(a,e,f), 6 | set 8-A due at 11:59 PM | ||
| Nov 18 | 3.4: 1, 5, 9, 21, 35, 37, 41 | set 8-B due at 11:59 PM | ||
| Nov 21 | 3-A.2 Composition of functions 3.5 The chain rule |
3.5: 1, 3, 5 | set 8-C due at 11:59 PM | |
| Nov 22 | 3.5: 7, 9, 11, 21, 23, 29, 45, 53 | set 3-4 due at 11:59 PM | ||
| Extra office hour: 3-4 PM | ||||
| Nov 23 | Thanksgiving recess - no classes, no office hours | |||
| Nov 25 | ||||
| Nov 28 | Extra office hour: 5-6 PM | 9-A: 1, 4 | set 3-5 due at 11:59 PM | |
| 9-A Implicitly defined functions 9-B Solving equations that contain dy/dx 3.6 Implicit differentiation |
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| Nov 29 | 9-B: 1 | set 3-5-continued due at 11:59 PM | ||
| Nov 30 | 3.6: 1, 9, 13, 25, 29 | set 9-B due at 11:59 PM | ||
| Dec 2 | Review: Theory, Problems, Solutions | Chapter 3 Review: 1, 3, 5, 7, 9, 15, 21, 37, 39, 85 | set 3-6 due at 11:59 PM | |
| Dec 5 | Test 3, Solutions | |||
| Dec 6 | Mathematica lab | Look through the above problems, WeBWorK problems, quizzes, tests, and practice final. Bring all your questions to class. |
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| Dec 7 | Review: Practice final (problem 18 corrected), Answers | |||
| Dec 8 | Faculty consultation day. Office hours: 1-2:30 | |||
| Dec 9 | Faculty consultation day. Consultation hours: 1-2:45 in McL 229 | |||
| Dec 10 | Optional set Review due at 11:59 PM Solutions will be available at midnight |
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| Dec 12 | Section meeting 1-1:50: Final exam (cumulative), 1:15-3:15 PM | |||
| Dec 14 | Section meeting 2-2:50: Final exam (cumulative), 3:30-5:30 PM | |||