| Lecture | Date | Section | Notes | Homework |
|---|---|---|---|---|
| 1 | 1/14 | Overview of course | ||
| 2 | 1/16 | P.1 | Graphs and Models | P.1# 7, 12, 13, 46, 50, 58, 65, 66 |
| 3 | 1/19 | P.2 | Linear Models and Rates of Change | P.2# 2, 9, 16, 26, 35, 38, 51, 52, 79 |
| 4 | 1/21 | P.3 | Functions and Their Graphs | P.3# 14, 15, 21, 26, 41-44, 62, 67, 71, 72 |
| 5 | 1/23 | 1.1 | Preview of Calculus | 1.2# 2, 5, 12, 13 |
| 6 | 1/26 | 1.2 | Finding Limits Graphically and Numerically | 1.2# 17-24, 26, 31, 37, 40 |
| 7 | 1/28 | 1.3 | Evaluating Limits Analytically | 1.3# 12, 14, 22, 23, 27, 49, 53, 55, 60 |
| 8 | 1/30 | 1.4 | Continuity and One-Sided Limits | 1.4# 5, 6, 14, 38, 43, 47, 51, 63, 68, 84, 85, 108 |
| 9 | 2/2 | 1.5 | Infinite Limits | 1.5# 8, 14, 19, 31, 38, 40, 48, 49 |
| 10 | 2/4 | 2.1 | The Derivative and the Tangent Line Problem | 2.1# 7, 10, 21, 24, 29, 39-42 |
| 11 | 2/6 | 2.2 | Basic Differentiation Rules | 2.2# 7, 10, 13, 14, 42, 43, 48, 52, 55, 59 |
| 12 | 2/9 | 2.2 | Rates of Change | 2.2# 19, 20, 21, 63, 65, 99 |
| 13 | 2/11 | Review | ||
| 14 | 2/13 | Midterm 1 | ||
| 15 | 2/16 | 2.3 | Product and Quotient Rules | 2.3# 2, 5, 6, 8, 11, 27, 34, 37, 43, 52 |
| 16 | 2/18 | 2.4 | Chain Rule | 2.4# 8, 11, 14, 23, 34, 48, 55, 58, 108 |
| 17 | 2/20 | 2.4 | Chain Rule - con'd | 2.4# 64, 65, 87, 89, 91 |
| 18 | 2/23 | 2.5 | Implicit Differentiation | 2.5# 3, 4, 8, 11, 22, 24, 27, 39, 48, 57 |
| 19 | 2/25 | 2.6 | Related Rates | 2.6# 1, 2, 11, 13, 18, 22, 25 |
| 20 | 2/27 | 2.6 | Related Rates - con'd | 2.6# 19, 21, 33, 42 |
| 21 | 3/2 | 3.1 | Extrema on an Interval | class cancelled b/c of snow |
| 22 | 3/4 | 3.2 | Rolle's Theorem and the MVT | 3.1# 5, 9, 12, 18, 19, 23, 26, 33 |
| 23 | 3/6 | 3.3 | First Derivative Test | 3.2# 2, 3, 11, 16, 18, 19, 41, 59, 60 |
| 24 | 3/16 | 3.4 | Concavity and the Second Derivative Test | 3.3# 5, 10, 13, 18, 22, 33 |
| 25 | 3/18 | Review | 3.4# 9, 23, 43 | |
| 26 | 3/20 | Midterm 2 | ||
| 27 | 3/23 | 3.5 | Limits at Infinity | 3.4# 1-4, 39, 41, 42, 50; 3.5# 24, 29, 32, 38 |
| 28 | 3/25 | 3.6 | Summary of Curve Sketching | 3.6# 1-4, 9, 10, 17, 28, 37 |
| 29 | 3/27 | 3.7 | Optimization Problems | 3.7# 5, 8, 13, 17, 20, 22, 26, 33 |
| 30 | 3/30 | 3.7 | Optimization - con'd | 3.7# 2(b,c,d only), 6, 19, 45 |
| 31 | 4/1 | 3.9 | Differentials | 3.9# 12, 17, 21, 27, 43, 46 |
| 32 | 4/3 | 3.8 | Newton's Method | 3.8# 2, 3, 21 |
| 33 | 4/6 | 4.1 | Antiderivatives and Indefinite Integrals | 4.1# 18, 19, 25, 28, 31, 34, 36, 38, 83, 85 |
| 34 | 4/8 | 4.2 | Area | 4.2# 2, 7, 8, 33, 36, 41, 46, 47 |
| 35 | 4/10 | 4.3 | Riemann Sums and Definite Integrals | 4.3# 14, 16, 17, 26, 31, 38, 41 |
| 36 | 4/13 | 4.3 | Definite Integrals -con'd | 4.4# 6, 12, 13, 20, 23, 28, 35, 38 |
| 37 | 4/15 | Review | ||
| 38 | 4/17 | Midterm 3 | ||
| 39 | 4/20 | 4.4 | The Fundamental Theorem of Calculus | 4.4# 75, 82, 85, 89, 91 |
| 40 | 4/22 | 4.5 | Integration by Substitution | 4.5# 11, 12, 14, 19, 24, 49, 52, 57 |
| 41 | 4/24 | 4.5 | Integration by Substitution - con'd | |
| 42 | 4/27 | Review |