| Lecture | Date | Section | Notes | Homework |
|---|---|---|---|---|
| 1 | 8/26 | Overview of course | ||
| 2 | 8/28 | P.1 | Graphs and Models | P.1# 7, 12, 13, 46, 50, 58, 65, 66 |
| 3 | 8/31 | P.2 | Linear Models and Rates of Change | P.2# 2, 9, 16, 26, 35, 38, 51, 79 |
| 4 | 9/2 | P.3 | Trigonometry Review | Trigonometry problems |
| 5 | 9/4 | P3 | Functions and Their Graphs | P.3# 14, 15, 21, 26, 41-44, 62, 67, 71 |
| 6 | 9/7 | 1.2 | Finding Limits Graphically and Numerically | 1.2# 2, 12, 13, 17-24, 26, 31 |
| 7 | 9/9 | 1.3 | Evaluating Limits Analytically | 1.3# 12, 22, 23, 49, 53, 55, 60 |
| 8 | 9/11 | 1.4 | Continuity and One-Sided Limits | 1.4# 38, 43, 47, 51, 63, 68, 85, 108 |
| 9 | 9/14 | 1.5 | Infinite Limits | 1.5# 8, 14, 19, 31, 38, 40, 48, 49 |
| 10 | 9/16 | 2.1 | The Derivative and the Tangent Line Problem | 2.1# 7, 10, 21, 29, 39-42 |
| 11 | 9/18 | 2.2 | Basic Differentiation Rules | 2.2# 7, 10, 13, 42, 43, 48, 52, 55, 59 |
| 12 | 9/21 | 2.2 | Rates of Change | 2.2# 19, 20, 21, 63, 65, 97 |
| 13 | 9/23 | Review | ||
| 14 | 9/25 | Midterm 1 | ||
| 15 | 9/28 | 2.3 | Product and Quotient Rules | 2.3# 2, 5, 6, 8, 11, 27, 34, 37, 43, 52 |
| 16 | 9/30 | 2.4 | Chain Rule | 2.4# 8, 11, 14, 23, 34, 48, 55, 58, 108 |
| 17 | 10/2 | 2.4 | Chain Rule - con'd | 2.4# 64, 65, 87, 89, 91 |
| 18 | 10/5 | 2.5 | Implicit Differentiation | 2.5# 3, 4, 8, 11, 22, 24, 27, 39, 48, 57 |
| 19 | 10/7 | 2.6 | Related Rates | 2.6# 1, 2, 11, 13, 18, 22, 25 |
| 20 | 10/9 | 2.6 | Related Rates - con'd | 2.6# 19, 21, 33, 42 |
| 21 | 10/14 | 3.1 | Extrema on an Interval | 3.1# 5, 9, 12, 18, 19, 23, 26, 33 |
| 22 | 10/16 | 3.2 | Rolle's Theorem and the MVT | 3.2# 2, 3, 41, 44, 59, 60 |
| 23 | 10/19 | 3.3 | First Derivative Test | 3.3# 5, 7, 9, 11, 25, 29, 33, 55, 65 |
| 24 | 10/21 | Review | ||
| 25 | 10/23 | Midterm 2 | ||
| 26 | 10/26 | 3.4 | Concavity and the Second Derivative Test | 3.4# 1-4, 9, 39, 43, 45, 50, 51 |
| 27 | 10/28 | 3.5 | Limits at Infinity | 3.5# 13, 20, 22, 26, 31, 35, 38 |
| 28 | 10/30 | 3.6 | Summary of Curve Sketching | 3.6# 1-4, 5, 11, 17, 21, 23, 37 |
| 29 | 11/2 | 3.7 | Optimization Problems | 3.7# 5, 8, 13, 17, 20, 22, 26, 33 |
| 30 | 11/4 | 3.7 | Optimization - con'd | 3.7# 6, 45 |
| 31 | 11/6 | 3.9 | Differentials | 3.9# 12, 17, 21, 27, 43, 46 |
| 32 | 11/9 | 3.8 | Newton's Method | |
| 33 | 11/11 | 4.1 | Antiderivatives and Indefinite Integrals | 4.1# 18, 19, 25, 28, 31, 34, 36, 38, 83, 85 |
| 34 | 11/13 | 4.2 | Area | 4.2# 2, 7, 8, 36, 41, 47 |
| 35 | 11/16 | 4.3 | Riemann Sums and Definite Integrals | 4.3# 14, 16, 17, 26, 31, 38, 41 |
| 36 | 11/18 | Review | ||
| 37 | 11/20 | Midterm 3 | ||
| 38 | 11/23 | 4.3 | Definite Integrals | |
| 39 | 11/30 | 4.4 | The Fundamental Theorem of Calculus | 4.4# 6, 12, 13, 20, 23, 28, 35, 38 |
| 40 | 12/2 | 4.5 | Integration by Substitution | 4.4# 75, 82, 85, 89, 91 |
| 41 | 12/4 | 4.5 | Integration by Substitution - con'd | 4.5# 11, 12, 14, 19, 24, 49, 52, 57 |
| 42 | 12/7 | Review |