Math 142 - Tentative Schedule

  Lecture     Date     Section     Topic     Homework  
1 1/18 4.5   Integration by Substitution     4.5# 11, 13, 15, 25, 31, 48, 53, 56, 67  
2 1/20 5.1   The Natural Logarithmic Function: Differentiation     5.1# 14, 22, 25, 30, 35, 49, 61, 101, 105  
3 1/23 5.2   The Natural Logarithmic Function: Integration     5.2# 3, 6, 7, 21, 33, 37, 53  
4 1/25 5.3   Inverse Function     5.3# 9-12, 29, 39, 40, 53, 98, 100  
5 1/27 5.4   Exponential Functions     5.4# 13, 17-19, 42, 47, 56, 101, 104, 140  
6 1/30 5.5   Bases Other Than e     5.5# 1, 2, 20, 42, 45, 48, 60, 75, 84, 117, 118  
7 2/01 5.6   Inverse Trigonometric Functions: Differentiation     5.6# 5, 6, 12, 22, 23, 29, 46, 54, 97, 100, 105  
8 2/03 5.7   Inverse Trigonometric Functions: Integration     5.7# 1, 8, 27, 34, 51, 60, 71  
9 2/06 6.1   Slope Fields and Euler's Method     6.1# 2, 32, 35, 39, 42, 57-60  
10 2/08 6.2   Differential Equations: Growth and Decay     6.2# 14, 25, 26, 29, 30, 64, 73  
11 2/10 6.3   Separation of Variables & The Logistic Equations     6.3# 9, 14, 15, 18, 51, 52, 64  
12 2/13 7.1   Area Between Curves     7.1# 2, 3, 19, 21, 25, 31, 78, 80  
13 2/15  
Midterm 1
 
   
14 2/17 7.2   Volume: Disk Method     7.2# 1, 2, 4, 6, 23, 28, 32, 48  
15 2/20 7.3   Volume: Shell Method     7.2# 25 53, 58  
16 2/22 7.3   Volume: Shell Method - con'd     7.3# 1, 4, 8, 27, 47  
17 2/24 7.4   Arc Length     7.4# 5, 6, 17, 18, 22, 23, 25  
18 2/27 7.5   Work     7.5# 5, 11, 19, 27, 28, 36  
19 2/29 8.2   Integration by Parts     8.2# 3, 5, 8, 10, 11, 15, 27, 32  
20 3/02 8.2   Integration by Parts - con'd     8.2# 23, 35, 61, 63, 65, 67, 70  
21 3/05 8.3   Trigonometric Integrals     8.3# 5, 8, 9, 30 , 35, 67, 71, 88  
22 3/07 8.4   Trigonometric Substitution     8.4# 6, 7, 10, 13, 14, 22  
23 3/09 8.5   Partial Fractions     8.5# 5, 7, 8, 14, 15, 16, 42  
24 3/19 8.5   Partial Fractions - con'd      
25 3/21  
Midterm 2
 
   
26 3/23 8.7   L'Hopital's Rule     8.7# 12, 15, 16, 19, 21, 22, 23, 45, 51, 59, 83, 84, 89  
27 3/26 8.8   Improper Integrals     8.8# 11, 12, 16, 19, 22, 24, 31, 43, 75  
28 3/28 9.2   Series and Convergence     9.2# 38, 39, 45, 46, 51, 55, 56, 83, 84, 115  
29 3/30 9.3   The Integral Test and p-Series     9.3# 8, 12, 36, 37, 40, 53, 89, 92, 96  
30 4/02 9.4   Comparisons of Series     9.4# 4, 6, 10, 11, 19, 24, 46, 47  
31 4/04 9.5   Alternating Series     9.5# 13, 16, 28, 38, 41, 53, 54, 58, 65  
32 4/06 9.6   Ratio Test     9.6# 14, 17, 24, 28, 56, 61, 87, 92  
33 4/09 9.7   Taylor Polynomials     9.7# 1-4, 13, 14, 24, 25, 28, 41  
34 4/11 9.7   Taylor Polynomials - con'd     9.7# 45, 46, 50, 51, 62, 64, 65, 66  
35 4/13 9.8   Power Series      
36 4/16 9.9   Power Series and Functions     9.8# 5, 7, 15, 19  
37 4/18 9.9   Power Series and Functions - con'd      
38 4/20  
Midterm 3
 
   
39 4/23 9.9   Power Series and Functions     9.9# 17, 19, 23; 9.10# 31, 36, 48, 86  
40 4/25 9.10   Taylor Series     9.10# 57, 59, 61, 65, 66, 67, 70  
41 4/27 9.10   Taylor Series - con'd      
42 4/30   Presentations