Math 75A. Mathematical Analysis with Review IA. Fall 2010.
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 (Essential Calculus, Early Transcendentals).
| Sep 3: | Last day to ADD a class without instructor permission | |||
| Sep 20: | Last day to ADD CLASSES with permission; DROP CLASSES online without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | |||
| Nov 16: | Last day to DROP/withdraw from classes for SERIOUS and COMPELLING REASONS. | |||
| Date | Section and Topic | Recommended Homework | WeBWorK Assignment | |
|---|---|---|---|---|
| Stewart | Ebersole | |||
| Aug 24 | 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 1-B: 1, 2, 3, 4 1-C: 1, 3, 4 1-D: 1, 3, 4 1-E: 1, 4 1-F: 1, 3, 4 |
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| Aug 26 | ||||
| Aug 31 | 2-A Function notation 2-B Domain and range of a function 2-C Different Ways to represent functions 1.1 Functions and their representations 2-D The graph of a function |
1.1: 1, 3, 5, 15, 23, 29, 33, 37, 41, 53, 57 | 2-A: 1, 2, 3, 4 2-B: 1, 2, 3ac, 4ac, 5 2-C: 1, 2 2-D: 1, 2, 3, 4, 5 |
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| Sep 2 | ||||
| Sep 7 | 2-E Special classes of functions 1.2 A catalog of essential functions 2-F Transformations of graphs 3-A Combinations of functions |
1.2: 3, 9, 15, 17, 25, 29, 35, 37, 43 | 2-E: 1, 3, 5, 7 2-F: 1, 3 3-A: 5 |
homework 1 due at 2:00 PM (in class) |
| Sep 9 | ||||
| Sep 14 | App. A Trigonometry 8-A Angle measures handout 8-B Definition and evaluation of the trigonometric functions 8-C Properties and identities for the trigonometric functions 8-D Domain, range, and graphs of the trigonometric functions 8-E Combining functions with the trigonometric functions |
8-A: 1, 3, 5 8-B:1, 6 8-C:1, 3(a,e,f), 6 8-D: 2 8-E: 1, 3, 6 |
homework 2 due at 2:00 PM (in class): 1.1: 24, 30, 34, 38, 54, 62, 1.2: 4, 8, 18, 22, 26, 30 |
Sep 16 |
| Sep 21 | 3-B Algebraic simplifications of functions 1.3 The limit of a function 1.4 Calculating limits |
1.3: 1, 5, 7, 11, 15 1.4: 1, 3, 11, 15, 17, 21, 23, 29, 37, 43, 45 |
3-B: 1, 5 | homework 3 due at 2:00 PM (in class): 1.2: 36, 38, 44, 52, App. A: 2, 8, 18, 24, 32, 70, 78 |
| Sep 23 | ||||
| Sep 28 | 1.5 Continuity 4-A Polynomials 4-B Zeros of a function |
1.5: 1, 3, 5, 13, 15, 29, 31, 37, 39 | 4-A: 3, 5, 7 4-B.1: 1, 5 4-B.2: 1, 3 : |
set 4 due at 11:59 PM |
| Sep 30 | ||||
| Review: Theory, Problems, Solutions Fall 2005 Test 1, Solutions Spring 2009 Test 1 |
Chapter 1 review: 1, 3, 7, 9, 13, 15, 17, 21, 23, 25, 27, 31, 41, 47, 49 | |||
| Oct 5 | Test 1 (covers chapter 1 in Ebersole, and App. A and sections 1.1-1.5 in Stewart) | set 5 due at 11:59 PM | ||
| Oct 7 | 1.6 Limits involving infinity 5-A. Graphical interpretation 5-B. Albebraic manipulations. |
1.6: 1, 3, 5, 13, 15, 19, 23, 25, 29 | 5-A: 2, 3, 4, 6 5-B.1: 1, 5 5-B.2: 1, 2, 4 |
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| Oct 12 | 2.1 Derivatives and rates of change. 6-B Applications 6-C Secant and tangent lines 2.2 The derivative as a function |
2.1: 1, 3, 5, 9, 11, 15, 17, 23 2.2: 1, 3, 17, 21, 23, 27, 33 |
6-B: 4, 5, 6, 9 6-C: 1, 2 |
set 6 due at 11:59 PM |
| Oct 14 | ||||
| Oct 19 | 2.3 Basic differentiation formulas 7-A Negative and rational exponents |
2.3: 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 27, 31, 35, 43 | 7-A: 1, 4, 6 | set 7 due at 11:59 PM |
| Oct 21 | ||||
| Oct 26 | 2.4 The product and quotient rules | 2.4: 1, 3, 5, 11, 13, 17, 19, 27, 33 |
set 8 due at 11:59 PM | |
| Oct 28 | ||||
| Nov 2 | 2.5 The chain rule 7-B Decomposition of functions 7-C Simplifying derivatives |
2.5: 1, 7, 9, 13, 17, 21, 23, 27, 29, 31, 39, 45, 51 | 7-B: 3 7-C: 2, 3, 4 |
set 9 due at 11:59 PM |
| Nov 4 | Review: Theory, Problems, Solutions Fall 2005 Test 2, Solutions Spring 2009 Test 2 |
Chapter 1 review: 29, 33, 35 Chapter 2 review: 1, 5, 7, 11, 13, 15, 19, 21, 37, 39, 43, 47, 49, 61, 63 |
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| Nov 9 | Test 2 (covers sections 1.6-2.5 in Stewart) | set 10 due at 11:59 PM | ||
| Nov 11 | Veteran's day - campus closed; no classes, no office hours | |||
| Nov 16 | 3.1 Exponential functions 13-A Rules of exponents 13-B The natural exponential function 14-A One-to-one functions 14-B Properties of a function and its inverse 14-C Finding the inverse of a function 3.2 Inverse functions and logarithms 15-A Definition and properties of logarithmic functions 15-B Graphs of logarithmic functions |
3.1: 3, 5, 9, 11, 13, 17 3.2: 5, 7, 9, 11, 15, 21, 23, 29, 35, 39, 43, 45, 47, 51, 55, 59, 61, 63, 69, 71 |
13-A: 1, 5, 9. 11 13-B: 1, 5, 7 14-A: 2, 3, 4 14-B: 3, 4, 5 14-C: 1, 5 15-A: 2, 3, 6 15-B: 1, 4, 6 |
set 11 due at 11:59 PM |
| Nov 18 | ||||
| Nov 23 | Mathematica (computer lab) - meet in S2 321; | set 12 due at 11:59 PM | ||
| Nov 25 | Thanksgiving recess - no classes, no office hours | |||
| Nov 30 | 15-C Solving equations with logarithmic functions 3.3 Derivatives of logarithmic and exponential functions |
3.3: 1, 3, 5, 7, 11, 17, 19, 21, 23, 25, 31, 39, 41, 45, 49, 51, 61, 63 | 15-C: 1 | set 13 due at 11:59 PM |
| Dec 2 | ||||
| Dec 7 | Review: Theory, Problems, Solutions, Practice final, Answers | Chapter 3 Review: 1, 3, 4, 5, 7, 9, 11, 13, 15, 17, 21, 23, 29, 31, 33, 39, 49, 53, 57, 67, 73 | set 14 due at 11:59 PM | |
| Dec 9-10 | Faculty consultation day. Office hours: TBD | |||
| Dec 16 | Final (cumulative), 3:30-5:30 PM, Fall 2005 Final exam, Spring 2009 Final exam | |||