Math 75A. Mathematical Analysis with Review IA. Spring 2009.
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).
| Feb 3: | Last day to ADD and DROP classes without instructor permission | |||
| Feb 18: | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | |||
| Apr 21: | Last day to WITHDRAW from a course for a serious and compelling reason | |||
| Date | Section and Topic | Recommended Homework | WeBWorK Assignment | |
|---|---|---|---|---|
| Stewart | Ebersole | |||
| Jan 21 | 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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| Jan 23 | ||||
| Jan 26 | 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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| Jan 28 | set 1 due at 11:59 PM | |||
| Jan 30 | ||||
| Feb 2 | 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 |
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| Feb 4 | set 2 due at 11:59 PM | |||
| Feb 6 | Mathematica (computer lab) No class, start working on this lab assignment Extra office hours in S2 321 this week: W 10:30-11:30, Th 3-5, F 10:30-1 | |||
| Feb 9 | 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 |
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| Feb 11 | set 3 due at 11:59 PM | |||
| Feb 13 | ||||
| Feb 16 | Presidents' Day - no classes; all offices closed | |||
| Feb 18 | 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 | set 4 due at 11:59 PM |
| Feb 20 | ||||
| Feb 23 | 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 : |
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| Feb 25 | set 5 due at 11:59 PM | |||
| Feb 27 | Review: Theory, Problems, Solutions | Chapter 1 review: 1, 3, 7, 9, 13, 15, 17, 21, 23, 25, 27, 31, 41, 47, 49 | ||
| Mar 2 | Test 1. Fall 2005 Test 1, Solutions | |||
| Mar 4 | 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 |
set 6 due at 11:59 PM |
| Mar 6 | ||||
| Mar 9 | 2.1 Derivatives and rates of change. 6-B Applications 6-C Secant and tangent lines |
2.1: 1, 3, 5, 9, 11, 15, 17, 23 | 6-B: 4, 5, 6, 9 6-C: 1, 2 |
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| Mar 11 | set 7 due at 11:59 PM | |||
| Mar 13 | ||||
| Mar 16 | 2.2 The derivative as a function 2.3 Basic differentiation formulas 7-A Negative and rational exponents |
2.2: 1, 3, 17, 21, 23, 27 2.3: 1, 3, 5, 9, 11, 13, 15, 19, 21, 27, 43 |
7-A: 1, 4, 6 | |
| Mar 18 | set 8 due at 11:59 PM | |||
| Mar 20 | ||||
| Mar 23 | 2.3 Basic differentiation formulas (continued) 2.4 The product and quotient rules 2.2 The derivative as a function (continued) |
2.3: 7, 31, 35 2.4: 1, 3, 5, 11, 13, 17, 19, 27, 33 2.2: 33 |
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| Mar 25 | set 9 due at 11:59 PM | |||
| Mar 27 | ||||
| Mar 30 | 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 |
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| Apr 1 | set 10 due at 11:59 PM | |||
| Apr 3 | Review: Theory, Problems, Solutions | 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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| Apr 6 | Spring break | |||
| Apr 8 | ||||
| Apr 10 | ||||
| Apr 13 | Test 2. Fall 2005 Test 2, Solutions | |||
| Apr 15 | 3.1 Exponential functions 13-A Rules of exponents 13-B The natural exponential function |
3.1: 3, 5, 9, 11, 13, 17 | 13-A: 1, 5, 9. 11 13-B: 1, 5, 7 |
set 11 due at 11:59 PM |
| Apr 17 | ||||
| Apr 20 | 3.2 Inverse functions and logarithms 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: 5, 7, 9, 11, 15, 21, 23, 29, 35, 39, 43, 45, 47, 51, 55, 59, 61, 63, 69, 71 | 14-A: 2, 3, 4 14-B: 3, 4, 5 14-C: 1, 5 |
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| Apr 22 | set 12 due at 11:59 PM | |||
| Apr 24 | ||||
| Apr 27 | 15-A Definition and properties of logarithmic functions 15-B Graphs of logarithmic functions 15-C Solving equations with logarithmic functions 3.3 Derivatives of logarithmic and exponential functions office hours changed this week: Mon: cancelled Tue (new): 10-12 in PB 340 Wed (new): 3-5 in PB 340 |
15-A: 2, 3, 6 15-B: 1, 4, 6 15-C: 1 |
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| Apr 29 | set 13 due at 11:59 PM | |||
| May 1 | Mathematica (computer lab) - meet in S2 321; extra office hours (in S2 321): 10:30-1 | |||
| May 4 | 3.3 Derivatives of logarithmic and exponential functions (continued) | 3.3: 1, 3, 5, 7, 11, 17, 19, 21, 23, 25, 31, 39, 41, 45, 49, 51, 61, 63 | ||
| May 6 | set 14 due at 11:59 PM | |||
| May 8 | Review: Theory, Problems, Solutions | Chapter 3 Review: 1, 3, 4, 5, 7, 9, 11, 13, 15, 17, 21, 23, 29, 31, 33, 39, 49, 53, 57, 67, 73 | ||
| May 11 | Test 3. Fall 2005 Test 3, Solutions | |||
| May 13 | Review: Practice final (recently updated), Answers (updated) | Look through the above problems, WeBWorK problems, quizzes, tests, and practice final. Bring all your questions to class. |
set 15 due at 11:59 PM | |
| May 14 | Faculty consultation day. Office hours: 11-12:30 in PB 340 | |||
| May 15 | Faculty consultation day. Consultation hours: 9:15-10:20 in S2 308; 11-1 in PB 340 | |||
| May 18 | set Review-optional due at 11:59 PM | |||
| May 19 | solutions to set Review-optional available at 12:01 AM | |||
| May 20 | Final exam (cumulative), 11:00-1:00. Fall 2005 Final exam, Spring 2009 Final exam | |||