| Lecture |
Date |
Section |
Topic |
Homework |
| 1 |
8/25 |
|
Overview of course |
|
| 2 |
8/27 |
P.1 |
Graphs and Models |
P.1# 7, 12, 13, 46, 50, 58, 65, 66 |
| 3 |
8/30 |
P.2 |
Linear Models and Rates of Change |
P.2# 2, 9, 16, 26, 35, 38, 51, 79 |
| 4 |
9/1 |
P.3 |
Trigonometry Review |
Trigonometry problems |
| 5 |
9/3 |
P.3 |
Functions and Their Graphs |
P.3# 3, 6, 21, 41-44, 62, 63, 65abc, 67 |
| 6 |
9/6 |
1.2 |
Finding Limits Graphically and Numerically |
1.2# 2, 3, 13, 17-24, 26, 31 |
| 7 |
9/8 |
1.3 |
Evaluating Limits Analytically |
1.3# 12, 22, 23, 44, 49, 52, 53, 55, 60 |
| 8 |
9/10 |
1.4 |
Continuity and One-Sided Limits |
1.4# 5, 6, 14, 38, 43, 47, 51, 63, 68, 84, 85, 108 |
| 9 |
9/13 |
1.5 |
Infinite Limits |
1.5# 8, 14, 19, 31, 38, 40, 48, 49 |
| 10 |
9/15 |
2.1 |
The Derivative and the Tangent Line Problem |
2.1# 7, 21, 29, 39-42, 83-86 |
| 11 |
9/17 |
2.2 |
Basic Differentiation Rules |
2.2# 7, 10, 13, 19, 24, 42, 43, 48, 52, 55, 59 |
| 12 |
9/20 |
2.2 |
Rates of Change |
2.2# 20, 21, 63, 65, 97, 101-104 |
| 13 |
9/22 |
|
Review |
|
| 14 |
9/24 |
|
Midterm 1 |
|
| 15 |
9/27 |
2.3 |
Product and Quotient Rules |
2.3# 2, 5, 6, 8, 11, 16, 27, 34, 37, 43, 52 |
| 16 |
9/29 |
2.4 |
Chain Rule |
2.4# 8, 11, 14, 23, 34, 48, 55, 58, 108 |
| 17 |
10/1 |
2.4 |
Chain Rule - con'd |
2.3# 93, 98, 117; 2.4# 64, 65 87, 89, 91 |
| 18 |
10/4 |
2.5 |
Implicit Differentiation |
2.5# 3, 4, 8, 11, 22, 27, 39, 48, 57 |
| 19 |
10/6 |
2.6 |
Related Rates |
2.6# 1, 3, 4, 11, 13, 18, 22 |
| 20 |
10/8 |
2.6 |
Related Rates - con'd |
2.6# 19, 21, 33, 42 |
| 22 |
10/13 |
3.1 |
Extrema on an Interval |
3.1# 5, 9, 12, 18, 19, 23, 26, 33 |
| 23 |
10/15 |
3.2 |
Rolle's Theorem and the MVT |
3.2# 2, 3, 41, 44, 59, 60 |
| 24 |
10/18 |
3.3 |
First Derivative Test |
3.3# 5, 7, 9, 11, 25, 29, 33, 55, 65 |
| 25 |
10/20 |
|
Review |
|
| 26 |
10/22 |
|
Midterm 2 |
|
| 27 |
10/25 |
3.4 |
Concavity and the Second Derivative Test |
3.4# 1-4, 9, 39, 43, 45, 50, 51, 63 |
| 28 |
10/27 |
3.5 |
Limits at Infinity |
3.5# 13, 20, 22, 26, 31, 35, 38, 89, 90 |
| 29 |
10/29 |
3.6 |
Summary of Curve Sketching |
3.6# 1-4, 5, 11, 17, 21, 23, 37 |
| 30 |
11/1 |
3.7 |
Optimization Problems |
3.7# 2(b,c,d), 5, 8, 13, 17, 20, 22, 26 |
| 31 |
11/3 |
3.7 |
Optimization - con'd |
3.7# 6, 19, 33, 45 |
| 32 |
11/5 |
3.9 |
Differentials |
3.9# 12, 17, 21, 27, 43, 46, 52 |
| 33 |
11/8 |
3.9 |
Differentials and Estimating Error |
3.9# 8, 9 , 31, 34 |
| 34 |
11/10 |
4.1 |
Antiderivatives and Indefinite Integrals |
4.1# 18, 19, 25, 28, 31, 34, 36, 38, 53, 65, 83, 85 |
| 35 |
11/12 |
4.2 |
Area |
4.2# 2, 7, 8, 36, 41, 47 |
| 36 |
11/15 |
4.3 |
Riemann Sums and Definite Integrals |
4.3# 14, 16, 17, 26, 31, 38, 41 |
| 37 |
11/17 |
|
Review |
|
| 38 |
11/19 |
|
Midterm 3 |
|
| 39 |
11/22 |
4.3 |
Definite Integrals |
4.4# 6, 12, 13, 20, 23, 28, 35, 38 |
| 42 |
11/29 |
4.4 |
The Fundamental Theorem of Calculus |
4.4# 75, 82, 85, 89, 91 |
| 43 |
12/1 |
4.5 |
Integration by Substitution |
4.5# 11, 12, 14, 19, 24, 49, 52, 57 |
| 44 |
12/3 |
4.5 |
Integration by Substitution - con'd |
4.4# 60, 66, 107; 4.5# 111, 112, 117 |
| 45 |
12/6 |
|
Review |
|