| Lecture | Date | Section | Topic | Homework |
|---|---|---|---|---|
| 1 | 1/13 | 4.5 | Integration by Substitution | 4.5# 5, 7, 9, 19, 25, 40, 47, 50 |
| 2 | 1/15 | 5.1 | The Natural Logarithmic Function: Differentiation | 5.1# 12, 20, 23, 32, 43, 55, 89, 93 |
| 3 | 1/18 | 5.2 | The Natural Logarithmic Function: Integration | 5.2# 3, 6, 7, 21, 33, 37, 49 |
| 4 | 1/20 | 5.3 | Inverse Functions | 5.3# 9-12, 18, 41, 49, 50, 86, 87 |
| 5 | 1/22 | 5.3 | Inverse Functions | |
| 6 | 1/25 | 5.4 | Exponential Functions | 5.4# 13, 17, 18, 19, 36, 41, 50, 93, 96, 132 |
| 7 | 1/27 | 5.5 | Bases Other Than e | 5.5# 1-4, 20, 24, 41, 44, 56, 72, 107, 110 |
| 8 | 1/29 | 5.6 | Inverse Trigonometric Functions: Differentiation | 5.6# 3, 4, 10, 16, 17, 27, 42, 50, 91, 94 |
| 9 | 2/01 | 5.7 | Inverse Trigonometric Functions: Integration | 5.7# 1, 9, 23, 29, 45, 62, 66 |
| 10 | 2/03 | 6.1 | Slope Fields and Euler's Method | 6.1# 2, 23, 32, 35, 36, 57-60, 63, 95 |
| 11 | 2/05 | 6.2 | Differential Equations: Growth and Decay | 6.1# 73, 74 (see this explanation) |
| 12 | 2/08 | 6.3 | Separation of Variables & The Logistic Equations | 6.2# 1, 4, 6, 10, 11, 12, 19, 22, 56 |
| 13 | 2/10 | 7.1 | Area Between Curves | 7.1# 2, 3, 8, 17, 21, 26, 68 |
| 14 | 2/12 | Midterm 1 | ||
| 15 | 2/15 | 7.2 | Volume: Disk Method | |
| 16 | 2/17 | 7.2 | Volume: Disk Method | 7.2# 1, 2, 4, 6, 23, 28, 32, 48 |
| 17 | 2/19 | 7.3 | Volume: Shell Method | 7.3# 1, 3, 4, 17, 24 |
| 18 | 2/22 | 7.4 | Arc Length | 7.4# 5, 6, 17, 18, 22, 24, 37, 44 |
| 19 | 2/24 | 8.2 | Integration by Parts | 8.2# 11, 18, 21, 24, 28, 44, 60, 61 |
| 20 | 2/26 | 8.2 | Integration by Parts - con'd | 8.2# 49, 52, 63 |
| 21 | 2/29 | 8.3 | Trigonometric Integrals | 8.3# 5, 8, 9, 20, 59, 60, 67 |
| 22 | 3/02 | 8.4 | Trigonometric Substitution | 8.4# 6, 7, 10, 13, 14, 22 |
| 23 | 3/04 | 8.5 | Partial Fractions | 8.5# 6, 10, 11, 12, 28, 33 |
| 24 | 3/14 | 8.5 | Partial Fractions - con'd | 8.5# 2, 15 |
| 25 | 3/16 | 8.7 | L'Hospital's Rule | 8.7# 12, 17, 19, 21, 43, 49, 57, 79, 83 |
| 26 | 3/18 | Midterm 2 | ||
| 27 | 3/21 | 8.8 | Improper Integrals | 8.8# 9, 14, 48, 69, 90, 91 |
| 28 | 3/23 | 9.1 | Sequences | 9.1# 14, 16, 19, 20, 21, 45, 46, 49, 52 |
| 29 | 3/25 | 9.2 | Series & Convergence | 9.2# 25, 26, 29, 30, 33, 37, 38, 61, 62, 76 |
| 30 | 3/28 | 9.3 | Integral Test and p-Series | 9.3# 34, 35, 36, 38, 39, 43, 70 |
| 31 | 3/30 | 9.4 | Comparisons of Series | 9.4# 7, 8, 10, 13, 16, 20, 39, 42, 46 |
| 32 | 4/01 | 9.5 | Alternating Series | 9.5# 12, 18, 28, 35, 39, 42, 49 |
| 33 | 4/04 | 9.6 | Ratio Test | 9.6# 20, 26, 28, 30 70, 74, 77, 78 |
| 34 | 4/06 | 9.7 | Taylor Polynomials & Approximations | 9.7# 14, 17, 18, 25, 26 |
| 35 | 4/08 | 9.7 | Taylor Polynomials & Approximations - con'd | 9.7# 45, 51, 52, 56 |
| 36 | 4/11 | 9.8 | Power Series | 9.8# 1, 3, 19, 35, 37 |
| 37 | 4/13 | 9.9 | Power Series and Functions | |
| 38 | 4/15 | Midterm 3 | ||
| 39 | 4/18 | 9.10 | Taylor Series | 9.10# 27, 31, 35, 53, 67 |
| 40 | 4/20 | 9.10 | Taylor Series - con'd | 9.10# 66, 72, 88; Cht. 9 review #90, 94 |
| 41 | 4/22 | Presentations | ||
| 42 | 4/25 | Presentations |