Math 75B. Mathematical Analysis with Review IB. Spring 2011.
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 1 | Last day to ADD classes without instructor permission | |||
| Feb 15 | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | |||
| Apr 19 | Last day to WITHDRAW from a course for a serious and compelling reason | |||
| Date | Section and Topic | Recommended Homework | WeBWorK Assignment | |
|---|---|---|---|---|
| Stewart | Ebersole | |||
| Jan 19 | 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) |
|
| Jan 21 | ||||
| Jan 24 | 2.6 Implicit Differentiation (cont.) 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 |
|
| Jan 26 | set 1 due at 11:59 PM | |||
| Jan 28 | ||||
| Jan 31 | 2.7 Related Rates (cont.) Review of exponential functions. 3.4. Exponential Growth and Decay |
3.4: 3, 9, 11, 13, 19 | 13-A: 1, 11, 12 13-B: 1, 2 |
|
| Feb 2 | set 2 due at 11:59 PM | |||
| Feb 4 | ||||
| Feb 7 | 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 | - | |
| Feb 9 | set 3 due at 11:59 PM | |||
| Feb 11 | ||||
| Feb 14 | 3.7. Indeterminate Forms and L'Hospital's Rule. | 3.7: 1, 3, 5, 7, 9, 11, 25, 27, 29, 33, 35 | ||
| Feb 16 | set 4 due at 11:59 PM | |||
| Feb 18 | Review: Sample problems, Solutions Fall 09 Test 1 (disregard problems 5, 6, 9, 12), Answers, Solutions |
ch. 2 review: 23, 65, 67 ch. 3 review: 28, 35, 63, 73, 77, 79 |
||
| Feb 21 | Presidents' Day - no classes; all offices closed | |||
| Feb 23 | Test 1 | set 5 due at 11:59 PM | ||
| Feb 25 | 4.1. Extreme Values of a Function. 16-A. Extreme Values and Critical Values. |
4.1: 1, 3, 7, 15, 23, 35, 37, 43, 45 | 16-A: 1, 4 | |
| Feb 28 | 4.2. The Mean Value Theorem. 4.3. Derivatives and the Shapes of Graphs. |
4.2: 1, 3, 7, 13, 17, 23 4.3: 1, 3, 13, 19, 25, 29, 35 |
||
| Mar 2 | set 6 due at 11:59 PM | |||
| Mar 4 | ||||
| Mar 7 | 4.4. Curve Sketching. 17-A. Solving Inequalities. 17-B. Graphical Interpretation. 17-C. Putting It All Together. 4.5. Optimization Problems. 16-B. Setting Up Functions to Solve Extreme Value Problems. |
4.4: 1, 9, 13, 17, 31, 35 4.5: 3, 7, 9, 13, 17, 21, 37 |
17-A: 3 17-B: 1, 4 17-C: 5, 6 16-B: 1, 3 |
|
| Mar 9 | set 7 due at 11:59 PM | |||
| Mar 11 | ||||
| Mar 14 | 4.5. Optimization Problems (cont.) 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, 21 |
18-B: 1, 2 | |
| Mar 16 | set 8 due at 11:59 PM | |||
| Mar 18 | graphs due at 10:30AM | |||
| Mar 21 | Mathematica Lab: meet in S2 321 | - | - | |
| Mar 23 | Review: Sample problems, Solutions | ch. 4 review: 1, 3, 33 | set 9 due at 11:59 PM | |
| Mar 25 | Test 2 | |||
| Mar 28 | 4.7. Antiderivatives (cont.) 5.1. Areas and Distances. 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. |
4.7: 15, 23, 25, 37, 41, 45 5.1: 1, 3, 7, 11, 13, 15 5.2: 1, 5, 11, 15, 19, 25, 29, 31, 33, 35, 39 |
19-A: 1, 3, 5, 6 20-A: 1, 3, 4 |
|
| Mar 30 | set 10 due at 11:59 PM | |||
| Apr 1 | ||||
| Apr 4 | 5.1 (cont.) 5.2 (cont.) 5.3. Evaluating Definite Integrals. |
5.3: 1, 7, 15, 17, 19, 29, 39, 41 | ||
| Apr 6 | set 11 due at 11:59 PM | |||
| Apr 8 | ||||
| Apr 11 | 5.4. The Fundamental Theorem of Calculus. 20-B. Other Interpretations of the Definite Integral. 20-C. The Fundamental Theorem of Calculus. |
5.4: 1, 3, 5, 9, 13, 15, 19, 21 | 20-B: 2 | |
| Apr 13 | set 12 due at 11:59 PM | |||
| Apr 15 | ||||
| Apr 18 | Spring recess - no classes, no office hours | |||
| Apr 20 | ||||
| Apr 22 | ||||
| Apr 25 | 5.5. The Substitution Rule. 18-C. Substitution for Antiderivatives. 20-D. Change of Variable in Definite Integrals. |
5.5: 1, 3, 7, 9, 11, 13, 19, 21, 25, 41, 43, 47, 51, 53 | 18-C: 1, 3 20-D: 1 |
|
| Apr 27 | - | |||
| Apr 29 | ||||
| May 2 | Mathematica Lab: meet in S2 321 | |||
| May 4 | Review: Fall 09 Test 3, Solutions | set 13 due at 11:59 PM | ||
| May 6 | Test 3 | |||
| May 9 | Review Study Guide, Fall 2009 Final Exam |
|||
| May 11 | set 14 due at 11:59 PM | |||
| May 13 | Faculty consultation day. Office hours: 10:30-11:35 in S2 308, 12:30-4:30 in PB 340 | |||
| May 14 | Optional set Review due at 11:59 PM | |||
| May 15 | Solutions to set Review available at 12:01 AM | |||
| May 16 | 11:00 AM - 1:00 PM: Final exam (cumulative) | |||