| Lecture | Date | Section | Notes | Homework |
|---|---|---|---|---|
| 1 | 1/14 | Overview of course | ||
| 2 | 1/16 | 5.1 | The Natural Logarithmic Function: Differentiation | 5.1# 14, 21, 26, 28-31, 45-48, 94, 95 |
| 3 | 1/19 | 5.2 | The Natural Logarithmic Function: Integration | 5.2# 3-5, 19, 36, 48 |
| 4 | 1/21 | 5.3 | Inverse Functions | 5.3# 9-12, 37, 38, 42, 68, 70, 71, 74 |
| 5 | 1/23 | 5.4 | Exponential Functions | 5.4# 13, 26, 37, 41, 42, 46, 85, 90, 100 |
| 6 | 1/26 | 5.5 | Bases Other Than e | 5.5# 1, 2, 18, 37, 40, 43, 52, 53, 63 |
| 7 | 1/28 | 5.6 | Inverse Trigonometric Functions: Differentiation | 5.6# 5, 6, 12, 21, 22, 32, 42, 46, 49, 89 |
| 8 | 1/30 | 5.7 | Inverse Trigonometric Functions: Integration | 5.7# 1, 10, 14, 23, 30, 45 |
| 9 | 2/2 | 6.1 | Slope Fields and Euler's Method | 6.1# 2, 4, 27, 32, 35, 41, 42, 53-56 |
| 10 | 2/4 | 6.2 | Differential Equations: Growth and Decay | 6.2# 1, 6, 10, 21, 26, 62, 72 |
| 11 | 2/6 | 6.3 | Separation of Variables & The Logistic Equations | 6.3# 2, 13, 16, 19, 46, 47 |
| 12 | 2/9 | 7.1 | Area Between Curves | 7.1# 2, 3, 19, 21, 25, 31 |
| 13 | 2/11 | Review | ||
| 14 | 2/13 | Midterm 1 | ||
| 15 | 2/16 | 7.2 | Volume: Disk Method | 7.2# 1, 2, 4, 6, 23, 28, 32, 48 |
| 16 | 2/18 | 7.3 | Volume: Shell Method | 7.3# 1, 4, 8, 16, 43 |
| 17 | 2/20 | 7.3 | Volume: Shell Method - con'd | 7.3# 25, 26, 27 |
| 18 | 2/23 | 7.4 & 7.5 | Arc Length & Work | 7.4# 3, 6, 10, 11 & 7.5# 13, 31, 34 |
| 19 | 2/25 | 8.2 | Integration by Parts | 8.2# 12, 15, 20, 27, 48, 50 |
| 20 | 2/27 | 8.2 | Integration by Parts - con'd | 8.2# 25, 60, 64, 66 |
| 21 | 3/2 | 8.3 | Trigonometric Integrals | 8.3# 8, 9, 11, 14, 30, 36, 67, 71 |
| 22 | 3/4 | 8.4 | Trigonometric Substitution | 8.4# 6, 10, 13, 14, 22 |
| 23 | 3/6 | 8.5 | Partial Fractions | 8.5# 5, 7, 8, 14, 16, 42 |
| 24 | 3/16 | 8.5 | Partial Fractions - con'd | 8.5# 10, 15, 18, 19, 22, 30 |
| 25 | 3/18 | Review | ||
| 26 | 3/20 | Midterm 2 | ||
| 27 | 3/23 | 8.6 & 8.7 | Integration by Tables & L'Hopital's Rule | 8.7# 12, 13, 15, 16, 18, 21, 23, 30, 40, 44 |
| 28 | 3/25 | 8.8 | Improper Integrals | 8.8# 16, 17, 22, 27, 39, 40, 44 |
| 29 | 3/27 | 9.7 | Taylor Polynomials | 9.7# 13, 14, 24, 25, 28 |
| 30 | 3/30 | 9.1 | Sequences | 9.1# 16, 17, 18, 29, 30, 47, 50, 57, 60, 73, 79, 83, 88 |
| 31 | 4/1 | 9.2 | Series | 9.2# 5, 24, 35, 40, 44, 53, 61, 65 |
| 32 | 4/3 | 9.3 | Integral Test | 9.3# 3, 13, 18, 21, 30, 33, 51 |
| 33 | 4/6 | 9.4 | Comparison Test | 9.4# 4, 6, 10, 11, 19, 24, 46, 47 |
| 34 | 4/8 | 9.5 | Alternating Series | 9.5# 13, 16, 28, 38, 53, 54, 58 |
| 35 | 4/10 | 9.6 | Ratio Test | 9.6# 14, 17, 24, 28, 56, 61, 87, 92 |
| 36 | 4/13 | 9.8 | Power Series | 9.8# 8, 12, 30, 36, 38, 41, 45 |
| 37 | 4/15 | Review | ||
| 38 | 4/17 | Midterm 3 | ||
| 39 | 4/20 | 9.9 | Power Series and Functions | 9.9# 1, 9, 15, 18, 20 |
| 40 | 4/22 | 9.10 | Taylor Series | 9.10# 10, 23, 26, 32, 40, 47, 54, 55 |
| 41 | 4/24 | 9.10 | Taylor Series - con'd | |
| 42 | 4/27 | Review |