Math 75B. Mathematical Analysis with Review IB. Fall 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).
| Sep 2 | Last day to ADD classes without instructor permission | |||
| Sep 19 | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | |||
| Nov 15 | Last day to WITHDRAW from a course for a serious and compelling reason | |||
| Date | Section and Topic | Recommended Homework | WeBWorK Assignment | |
|---|---|---|---|---|
| Stewart | Ebersole | |||
| Aug 22 | Review of differentiation: definition, rules, properties. 2.6 Implicit Differentiation. 9-A. Implicitly Defined Functions. 9-B. Solving Equations That Contain dy/dx. |
2.6: 1, 5, 9, 17, 21 | 9-A: 1, 4 9-B: 1, 2(a,d), 3(a,d) |
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| Aug 24 | ||||
| Aug 26 | ||||
| Aug 29 | 2.7 Related Rates. 11-A. Setting Up Equations for Related Rates Problems. 11-B. Problem-Solving Strategies for Related Rates Problems. |
2.7: 3, 5, 7, 9, 11, 15, 25 | 11-A: 1, 4 11-B: 1, 2 |
|
| Aug 31 | set 1 due at 11:59 PM | |||
| Sep 2 | ||||
| Sep 5 | Labor Day - no classes | |||
| Sep 7 | Review of exponential and logarithmic functions. 3.4. Exponential Growth and Decay |
3.4: 3, 9, 11, 13, 19 | 13-A: 1, 11, 12 13-B: 1, 2 |
set 2 due at 11:59 PM |
| Sep 9 | ||||
| Sep 12 | Review of trigonometric functions. Unit circle Review of inverse functions. 3.5. Inverse Trigonometric Functions |
3.5: 1, 3, 5, 17, 19, 21, 23, 35, 37 |
- | |
| Sep 14 | set 3 due at 11:59 PM | |||
| Sep 16 | Mathematica Lab: meet in S2 321 | - | - | |
| Sep 19 | 3.7. Indeterminate Forms and L'Hospital's Rule. | 3.7: 1, 3, 5, 7, 9, 11, 25, 27, 29, 33, 35 | - | |
| Sep 21 | Review: Sample problems, Solutions Fall 09 Test 1 (disregard problems 4, 5, 6, 11, 12), Answers, Solutions |
ch. 2 review: 23, 65, 67 ch. 3 review: 12, 20, 28, 35, 63 |
- | set 4 due at 11:59 PM |
| Sep 23 | Test 1 (on sections 2.6, 2.7, 3.4, 3.5 in Stewart and the corresponding Pre-Calculus Review) | - | - | |
| Sep 26 | 4.1. Extreme Values of a Function. 16-A. Extreme Values and Critical Values. 4.2. The Mean Value Theorem. 4.3. Derivatives and the Shapes of Graphs. |
4.1: 1, 3, 7, 15, 23, 35, 37, 43, 45 4.2: 1, 3, 7, 13, 17, 23 4.3: 1, 3, 13, 19, 25, 29, 35 |
16-A: 1, 4 | |
| Sep 28 | set 5 due at 11:59 PM | |||
| Sep 30 | ||||
| Oct 3 | 4.4. Curve Sketching. 17-A. Solving Inequalities. 17-B. Graphical Interpretation. 17-C. Putting It All Together. |
4.4: 1, 9, 13, 17, 31, 35 | 17-A: 3 17-B: 1, 4 17-C: 5, 6 |
|
| Oct 5 | set 6 due at 11:59 PM | |||
| Oct 7 | ||||
| Oct 10 | 4.5. Optimization Problems. 16-B. Setting Up Functions to Solve Extreme Value Problems. |
4.5: 3, 7, 9, 13, 17, 21, 37 | 16-B: 1, 3 | |
| Oct 12 | set 7 due at 11:59 PM | |||
| Oct 14 | graphs due at 10:30 AM | |||
| Oct 17 | 4.6. Newton's Method. 4.7. Antiderivatives. 18-A. Antidifferentiation as the Inverse of Differentiation. 18-B. Recognizing Antiderivatives. |
4.6: 1, 5, 9, 11 4.7: 1,3, 5, 9, 11, 13, 15, 21, 23, 25, 37, 41, 45 |
18-B: 1, 2 | |
| Oct 19 | set 8 due at 11:59 PM | |||
| Oct 21 | ||||
| Oct 24 | Review: Sample problems, Solutions | ch. 3 review: 28, 35, 63, 73, 77, 79 ch. 4 review: 1, 3, 33, more problems will be posted |
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| Oct 26 | Test 2 (on sections 3.7, 4.1-4.7 in Stewart and the corresponding Pre-Calculus Review) | - | - | set 9 due at 11:59 PM |
| Oct 28 | 5.1. Areas and Distances. | 5.1: 1, 3, 7, 11, 13, 15 |
- | |
| Oct 31 | 5.2. The Definite Integral. 19-A. Exact Areas as Sums of Basic Geometric Shapes. 19-B. Approximation of Areas. 19-C. Riemann Sums and Their Interpretations. 20-A. Area under a Curve as a Definite Integral. |
5.2: 1, 5, 11, 15, 19, 25, 29, 31, 33, 35, 39 | 19-A: 1, 3, 5, 6 20-A: 1, 3, 4 |
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| Nov 2 | set 10 due at 11:59 PM | |||
| Nov 4 | ||||
| Nov 7 | 5.3. Evaluating Definite Integrals. 5.4. The Fundamental Theorem of Calculus. 20-B. Other Interpretations of the Definite Integral. 20-C. The Fundamental Theorem of Calculus. |
5.3: 1, , 7, 15, 17, 19, 29, 39, 41 5.4: 1, 3, 5, 9, 13 |
20-B: 2 | |
| Nov 9 | set 11 due at 11:59 PM | |||
| Nov 11 | Veterans Day, no classes | |||
| Nov 14 | 5.4. The Fundamental Theorem of Calculus. (continued) 5.5. The Substitution Rule. 18-C. Substitution for Antiderivatives. 20-D. Change of Variable in Definite Integrals. |
5.4: 15, 19, 21 5.5: 1, 3, 7, 9, 11, 13, 19, 21, 25 |
18-C: 1, 3 20-D: 1 |
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| Nov 16 | set 12 due at 11:59 PM | |||
| Nov 18 | ||||
| Nov 21 | Mathematica Lab: meet in S2 321 | |||
| Nov 23 | Thanksgiving recess - no classes, no office hours | |||
| Nov 25 | ||||
| Nov 28 | 5.5. The Substitution Rule. (continued) | 5.5: 41, 43, 47, 51, 53 | ||
| Nov 30 | Review: Fall 09 Test 3, Solutions | set 13 due at 11:59 PM | ||
| Dec 2 | Test 3 | |||
| Dec 5 | Review Study Guide, Fall 2009 Final Exam, Answers |
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| Dec 7 | set 14 due at 11:59 PM | |||
| Dec 9 | Faculty consultation day. Office hours: 9:00-10:00 in PB 340; 10:30-11:35 in S 139; 11:45-12:45 in PB 340 | |||
| Dec 12 | 11:00-1:00 Final exam (cumulative): | |||