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| Math 132 - Schedule | | | Schedule Tentative schedule: Math 132, January 18 2012 | Date | Chapter | Description | Additional problems from textbook | | | Jan 18 | 5.1 | Introductions; Area | 9, 17 | | Jan 20 | 5.2 | Riemann sums | 5, 7, 33, 35, 40 |
| | Jan 23 | 5.3 | Definite integration | 3, 7, 9, 15, 17 | | Jan 25 | 5.4 | Fundamental Theorem of Calculus | 9, 23, 27, 45, 53, 81 | | Jan 27 | 5.5 | Substitution | 19, 35, 39, 52, 67, 71 |
| | Jan 30 | 5.6 | Area between curves | 29, 39, 47, 53, 57, 95 | | Feb 1 | 6.1 | Cavalieri's Principle, Volume (discs method) | 11, 13, 19, 25, 37, 55 | | Feb 3 | 6.2 | Volume (shell method) | 31, 33, 35, 45 |
| | Feb 6 | | Review for Exam I | Review material at end of chapter 5. | | Feb 8 | 6.3 | Arc length | 17, 25, 31, 35 | | Feb 8 | Exam I (7:00pm - 9:00pm) | | Feb 10 | 6.4 | Surface area | 1, 5, 7, 15 |
| | Feb 13 | 6.5, 6.6 | Work, Center of mass | 6.5: 3, 7
6.6: 13, 29, 33 (see p375 for ds) | | Feb 15 | 8.6 | Numerical integration | 29, 32, 37 | | Feb 17 | 8.6 | Numerical integration: Error estimates (how to bound) | (Problems from handout) |
| | Feb 20 | 7.1 | The logarithm as an integral | 11, 18, 29 | | Feb 22 | 7.2 | Separable differential equations | 19, 21, 25, 37 | | Feb 24 | 8.1 | Integration by parts | 19, 23, 35, 37, 43, 45, 55 |
| | Feb 27 | 8.2 | Trigonometric integrals | 11, 19, 67 | | Feb 29 | 8.3 | Trigonometric substitutions | 15, 23, 24, 43 | | Mar 2 | | Review for Exam II | Review material at end of chapters 6, 8. |
| | Mar 5 | 8.4 | Partial fractions | 15, 17, 21, 23, 33, 39 | | Mar 5 | Exam II (7:00pm - 9:00pm) | | Mar 7 | 8.7 | Improper integrals | 9, 13, 25, 31 | | Mar 9 | 8.7 | Comparison tests for improper integrals | 41, 43, 45, 61, 63, 65, 73a |
| | Mar 12 | | Spring Break! (no class) | | Mar 14 | | Spring Break! (no class) | | Mar 16 | | Spring Break! (no class) |
| | Mar 19 | 9.1 | Sequences | 23, 37, 49, 63, 89, 95 | | Mar 21 | 9.2 | Infinite series | 19 (recognize as geometric series), 31, 43, 89 | | Mar 23 | 9.3 | Integral test | 19, 35, 37, 41, 51 |
| | Mar 26 | 9.4 | Comparison tests | 5, 13, 29, 33, 44 | | Mar 28 | 9.5 | Ratio and root tests | 17, 25, 27, 33, 55 | | Mar 30 | 9.6 | Absolute versus conditional convergence | 17, 23, 35, 41 |
| | Apr 2 | | Review for Exam III | Review problems from Chap 9, others as appropriate. | | Apr 4 | 9.7 | Power series | 15, 23, 29, 37 | | Apr 4 | Exam III (7:00pm - 9:00pm) | | Apr 6 | 9.7 | Power series | 49, 51, 52, 55 |
| | Apr 9 | 9.8 | Taylor series | 15, 19, 21, 23, 35 | | Apr 11 | 9.8 | Taylor series | 30, 39, 41 | | Apr 13 | 9.9 | Convergence of Taylor series | 23, 29, 41, 51 |
| | Apr 16 | 9.9 | Convergence of Taylor series | 45, 46 | | Apr 18 | 9.10 | Taylor series applications | 15, 19 (just set up the series) | | Apr 20 | 9.10 | Taylor series applications | 41, 45 |
| | Apr 23 | 10.1 | Parametric curves | | Apr 25 | 10.2 | Calculus on parametric curves | | Apr 27 | | Review and/or additional topics |
| | May 4 | | Final exam (10:30am - 12:30pm) | |