| Lecture |
Date |
Section |
Topic |
Homework |
| 1 |
1/15 |
|
No class |
|
| 2 |
1/17 |
|
No class |
|
| 3 |
1/20 |
4.5 |
Integration by Substitution |
4.5# 5, 7, 9, 19, 25, 40, 47, 50 |
| 4 |
1/22 |
5.1 |
The Natural Logarithmic Function: Differentiation |
5.1# 12, 20, 23, 32, 43, 55, 89, 93 |
| 5 |
1/24 |
5.2 |
The Natural Logarithmic Function: Integration |
5.2# 3, 6, 7, 21, 33, 37, 49 |
| 6 |
1/27 |
5.3 |
Inverse Functions |
5.3# 9-12, 18, 41, 49, 50, 86, 87 |
| 7 |
1/29 |
5.4 |
Exponential Functions |
5.4# 13, 17, 18, 19, 36, 41, 50, 93, 96, 132 |
| 8 |
1/31 |
5.5 |
Bases Other Than e |
5.5# 1-4, 20, 24, 41, 44, 56, 72, 107, 110 |
| 9 |
2/03 |
5.6 |
Inverse Trigonometric Functions: Differentiation |
5.6# 3, 4, 10, 16, 17, 27, 42, 50, 91, 94 |
| 10 |
2/05 |
5.7 |
Inverse Trigonometric Functions: Integration |
5.7# 1, 9, 23, 29, 45, 62, 66 |
| 11 |
2/07 |
6.1 |
Slope Fields and Euler's Method |
6.1# 2, 23, 32, 35, 36, 57-60, 63, 95 |
| 12 |
2/10 |
6.2 |
Differential Equations: Growth and Decay |
6.2# 1, 4, 6, 10, 11, 12, 19, 22, 56 |
| 13 |
2/12 |
6.3 |
Separation of Variables & The Logistic Equations |
6.1# 73, 74 (see this explanation) |
| 14 |
2/14 |
7.1 |
Area Between Curves |
7.1# 2, 3, 8, 17, 21, 26, 68 |
| 15 |
2/17 |
7.2 |
Volume: Disk Method |
|
| 16 |
2/19 |
|
Midterm 1
|
7.2# 1, 2, 4, 6, 23, 28, 32, 48 |
| 17 |
2/21 |
7.3 |
Volume: Shell Method |
7.3# 1, 3, 4, 17, 24 |
| 18 |
2/24 |
7.4 |
Arc Length |
7.4# 5, 6, 17, 18, 22, 24, 37, 44 |
| 19 |
2/26 |
7.5 |
Work |
7.5# 5, 11, 19, 25, 26, 34 |
| 20 |
2/28 |
8.2 |
Integration by Parts |
8.2# 3, 5, 11, 18, 23, 49, 51 |
| 21 |
3/03 |
8.2 |
Integration by Parts - con'd |
|
| 22 |
3/05 |
8.3 |
Trigonometric Integrals |
8.3# 5, 8, 9, 20, 59, 60, 67 |
| 23 |
3/07 |
8.4 |
Trigonometric Substitution |
8.4# 6, 7, 10, 13, 14, 22 |
| 24 |
3/17 |
8.5 |
Partial Fractions |
8.5# 1, 6, 10, 11, 12, 28 |
| 25 |
3/19 |
8.6 |
Using Software to Compute Integrals |
8.6# 63, 69, 71, 73 |
| 26 |
3/21 |
8.7 |
L'Hospital's Rule |
8.7# 12, 17, 19, 20, 21, 43, 49, 57, 79, 83 |
| 27 |
3/24 |
8.8 |
Improper Integrals |
|
| 28 |
3/26 |
|
Midterm 2
|
|
| 29 |
3/28 |
9.1 |
Sequences
|
9.1# 14, 16, 19, 20, 21, 45, 46, 49, 52 |
| 30 |
3/31 |
9.2 |
Series & Convergence |
9.2# 25, 26, 29, 30, 33, 37, 38, 61, 62, 76 |
| 31 |
4/02 |
9.3 |
Integral Test and p-Series
|
9.3# 34, 35, 36, 38, 39, 43, 70 |
| 32 |
4/04 |
9.4 |
Comparisons of Series
|
9.4# 7, 8, 10, 13, 16, 20, 39, 42, 46 |
| 33 |
4/07 |
9.5 |
Alternating Series |
9.5# 12, 18, 28, 35, 39, 42, 49 |
| 34 |
4/09 |
9.6 |
Ratio Test
|
9.6# 20, 26, 28, 30 70, 74, 77, 78 |
| 35 |
4/11 |
9.7 |
Taylor Polynomials & Approximations |
9.7# 14, 17, 18, 25, 26 |
| 36 |
4/14 |
9.7 |
Taylor Polynomials & Approximations - con'd |
9.7# 45, 51, 52, 56 |
| 37 |
4/16 |
9.8 |
Power Series |
9.8# 1, 3, 19, 35, 37 |
| 38 |
4/18 |
9.9 |
Power Series and Functions |
9.9# 11, 15, 19, 31, 49 |
| 39 |
4/21 |
9.10 |
Taylor Series |
9.10# 27, 31, 35, 53, 67
|
| 40 |
4/23 |
|
Midterm 3
|
|
| 41 |
4/25 |
9.10 |
Taylor Series - con'd
|
|
| 42 |
4/28 |
|
Presentations
|
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