| Lecture | Date | Section | Topic | Homework |
|---|---|---|---|---|
| 1 | 8/28 | 4.5 | Integration by Substitution | 4.5# 11, 13, 15, 25, 31, 48, 53, 56, 67 |
| 2 | 8/30 | 5.1 | The Natural Logarithmic Function: Differentiation | 5.1# 14, 22, 25, 30, 35, 49, 61, 101, 105 |
| 3 | 9/02 | 5.2 | The Natural Logarithmic Function: Integration | 5.2# 3, 6, 7, 21, 33, 37, 53 |
| 4 | 9/04 | 5.3 | Inverse Function | 5.3# 9-12, 29, 39, 40, 53, 98, 100 |
| 5 | 9/06 | 5.4 | Exponential Functions | 5.4# 13, 17-19, 42, 47, 56, 101, 104, 140 |
| 6 | 9/09 | 5.5 | Bases Other Than e | 5.5# 1, 2, 20, 42, 45, 48, 60, 75, 84, 117, 118 |
| 7 | 9/11 | 5.6 | Inverse Trigonometric Functions: Differentiation | 5.6# 5, 6, 12, 22, 23, 29, 46, 54, 97, 100, 105 |
| 8 | 9/13 | 5.7 | Inverse Trigonometric Functions: Integration | 5.7# 1, 8, 27, 35, 51*, 60, 75 |
| 9 | 9/16 | 6.1 | Slope Fields and Euler's Method | 6.1# 2, 23, 32, 35, 36, 57-60, 63, 95 |
| 10 | 9/18 | 6.2 | Differential Equations: Growth and Decay | 6.2# 1, 4, 6, 10, 11, 14, 22, 26, 64 |
| 11 | 9/20 | 6.3 | Separation of Variables & The Logistic Equations | 6.1# 73, 74; 6.3# 3, 9, 15, 51, 52, 59-62, 64 |
| 12 | 9/23 | 7.1 | Area Between Curves | 7.1# 2, 3, 19, 21, 25, 31, 79 |
| 13 | 9/25 | 7.2 | Volume: Disk Method | |
| 14 | 9/27 | |
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| 15 | 9/30 | 7.3 | Volume: Shell Method | 7.2# 1, 2, 4, 6, 23, 28, 32, 48 |
| 16 | 10/02 | 7.3 | Volume: Shell Method - con'd | 7.3# 1, 3, 4, 17, 24 |
| 17 | 10/04 | 7.4 | Arc Length | 7.4# 5, 6, 17, 18, 22, 24, 37, 44 |
| 18 | 10/07 | 7.5 | Work | 7.5# 5, 11, 19, 27, 28, 36 |
| 19 | 10/09 | 8.2 | Integration by Parts | 8.2# 3, 5, 8, 11, 27, 32, 61, 63 |
| 20 | 10/11 | 8.2 | Integration by Parts - con'd | 8.2# 15, 23, 35, 65, 67, 70 |
| 21 | 10/14 | 8.3 | Trigonometric Integrals | 8.3# 5, 8, 9, 30, 35, 67, 71, 88 |
| 22 | 10/16 | 8.4 | Trigonometric Substitution | 8.4# 7, 10, 13, 14, 22 |
| 23 | 10/18 | 8.5 | Partial Fractions | 8.5# 5, 7, 8, 14, 15, 16, 42 |
| 24 | 10/23 | 8.5 | Partial Fractions - con'd | |
| 25 | 10/25 | |
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| 26 | 10/28 | 8.7 | L'Hospital's Rule | 8.7# 12, 15, 16, 19, 21, 22, 23, 45, 51, 59, 83, 84, 89 |
| 27 | 10/30 | 8.8 | Improper Integrals | 8.8# 11, 12, 16, 19, 22, 24, 75, 78 |
| 28 | 11/01 | Using Software to Compute Integrals | 8.6# 57, 59, 71, 79, 80, 82 | |
| 29 | 11/04 | 9.2 | Series and Convergence | 9.2# 38, 39, 45, 46, 51, 55, 56, 83, 84, 115 |
| 30 | 11/06 | 9.3 | Integral Test and p-Series | 9.3# 7, 15; 9.4# 4, 6, 9, 45, 48, 54 |
| 31 | 11/08 | 9.4 | Comparisons of Series | 9.4# 15, 17, 18, 20, 22, 24, 26, 28, 65 |
| 32 | 11/11 | 9.5 | Alternating Series | 9.5# 13, 16, 28, 38, 41, 53, 54, 58, 65 |
| 33 | 11/13 | 9.6 | Ratio Test | 9.6# 15, 17, 24, 28, 56, 61, 87, 92 |
| 34 | 11/15 | 9.7 | Taylor Polynomials & Approximations | 9.7# 1-4, 13, 18, 24, 25, 28, 41 |
| 35 | 11/18 | 9.7 | Taylor Polynomials & Approximations - con'd | 9.7# 45, 46, 50, 51, 62, 64, 65, 66 |
| 36 | 11/20 | 9.8 | Power Series | |
| 37 | 11/22 | |
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| 38 | 11/25 | 9.9 | Power Series and Functions | 9.8# 14; 9.9# 8, 15, 20, 31-34, 38, 53, 56 |
| 39 | 12/02 | 9.10 | Taylor Series | 9.10# 27, 28, 30, 31, 34, 35, 36, 42 |
| 40 | 12/04 | 9.10 | Taylor Series - con'd | 9.10# 57, 65, 66, 67, 70, 92 |
| 41 | 12/06 | Presentations | ||
| 42 | 12/09 | Presentations |