Lecture | Date | Topic | Homework |
---|---|---|---|
1 | 8/21 | Velocity & Distance | |
2 | 8/23 | Piecewise Linear Functions | P.2# 18, 20, 28, 39, 40, 56, 77 |
3 | 8/25 | Trigonometry Review | Trigonometry Problems |
4 | 8/28 | Important Trig Identities | |
5 | 8/30 | Functions and Their Graphs | P.3# 72-74, 79-82, 92-94 |
6 | 9/01 | Functions and Their Graphs - con'd | Parabola problems |
7 | 9/04 | Instantaneous Velocity | 1.1# 6, 7 |
8 | 9/06 | The Derivative and the Tangent Line Problem | 2.1# 21, 25, 32, 47, 53, 54 |
9 | 9/08 | Basic Differentiation Rules | 2.2# 42, 43, 44, 48, 55, 58, 111 |
10 | 9/11 | Derivatives of Sine and Cosine | 2.2# 69, 99, 102, 104, 110 |
11 | 9/13 | Product and Quotient Rules | 2.3# 2, 6, 8, 11, 16, 27, 43, 105, 106 |
12 | 9/15 | Chain Rule | 2.4# 9, 13, 21, 53, 81 |
13 | 9/18 | Chain Rule - con'd | 2.4# 27, 63, 83, 115 |
14 | 9/20 | Midterm 1 | |
15 | 9/22 | Implicit Differentiation | 2.5# 10, 16, 30, 33, 40, 58 |
16 | 9/25 | Implicit Differentiation - con'd | 2.5# 46, 50, 71 |
17 | 9/27 | Related Rates | 2.6# 2, 3, 11, 14, 17, 26 |
18 | 9/29 | Related Rates - con'd | 2.6# 29, 35, 36, 40 |
19 | 10/02 | Linear Approximation | 3.9# 8, 9, 12, 16, 19, 38 |
20 | 10/04 | Differentials | 3.9# 25, 26, 33 |
21 | 10/06 | Limits, Continuity, & L'Hospital's Rule | 1.3# 48, 52, 54, 58, 68, 72, 73 |
22 | 10/11 | Extrema on an Interval | 3.1# 12, 14, 18, 23, 28, 35, 59 |
23 | 10/13 | The First Derivative Test | 3.3# 22, 24, 33, 34, 42, 79 |
24 | 10/16 | Concavity and the Second Derivative Test | 3.4# 1-3, 5, 13, 33, 39, 41 |
25 | 10/18 | Limits at Infinity | 3.5# 21, 23, 27, 33, 35 |
26 | 10/20 | Midterm 2 | |
27 | 10/23 | Summary of Curve Sketching | 3.6# 5, 10, 11, 17, 22, 32 |
28 | 10/25 | Summary of Curve Sketching - con'd | 3.6# 26, 28, 30, 63 |
29 | 10/27 | Optimization Problems | 3.7# 4, 14, 19, 22 |
30 | 10/30 | Optimization - con'd | 3.7# 8, 15, 29 |
31 | 11/01 | Computers and Calculus: How to Use Sage | 3.7# 21, 25 (hint: Use Sage) |
32 | 11/03 | Newton's Method | 3.8# 2, 3, 6, 7, 8, 10 |
33 | 11/06 | Newton's Method - con'd | 3.8# 19, 32 (use Sage on 32) |
34 | 11/08 | Antiderivatives and Indefinite Integrals | 4.1# 12, 16, 21, 23, 28, 52 |
35 | 11/10 | Area | 4.2# 29, 33 |
36 | 11/13 | Riemann Sums | 4.3# 23, 25, 31, 39, 41 |
37 | 11/15 | Midterm 3 | |
38 | 11/17 | Definite Integrals | 4.4# 6, 8, 19, 36, 38, 56 |
39 | 11/20 | The Fundamental Theorem of Calculus | 4.4# 82, 91, 96, 103 |
40 | 11/27 | Integration by Substitution | 4.5# 11, 14, 19, 22 |
41 | 11/29 | Integration by Substitution - con'd | 4.5# 65 |
42 | 12/01 | Review |
Final Exam: Thursday, December 7, 1:30-4:30pm