MA114 |
Calculus II |
Course calendar |
Spring '00 |
Date |
Sections |
Suggested problems |
W 1/12 |
5.8
Evaluating definite integrals (review) |
§5.8 1-56 |
F 1/14 |
6.4 Length
of a plane curve |
§6.4 #1, 5,
7, 9, 11, 13, 15, 17, 18*, 19*, 20* |
M 1/17 |
Martin
Luther King, Jr. holiday |
|
W 1/19 |
6.5 Work |
§6.5 #3, 4,
5, 6, 7, 9, 11, 19, 20, 21, 24, 27 |
F 1/21 |
7.1 The
natural logarithm |
§7.1 #1, 2,
3, 5, 7, 9, 11, 15, 17, 21, 27, 29, 31, 37, 41, 43*, 49* |
M 1/24 |
7.2 Inverse
functions and their derivatives |
§7.2 #1, 3,
7, 9, 13, 15, 23, 35, 37, 39, 43, 45* |
W 1/26 |
7.3 The
natural exponential function |
§7.3 #3, 5,
11, 13, 15, 17, 21, 23, 25, 29, 31, 33 |
F 1/28 |
7.4 General
exponential and logarithm functions |
§7.4 #3, 5,
7, 13, 27, 29, 31, 33, 39*, 42*, 43* |
M 1/31 |
7.5
Exponential growth and decay |
§7.5 #1, 3,
5, 7, 11, 13, 14, 26, 27, 32* |
W 2/2 |
7.6
First-order linear differential equations Last day to drop |
§7.6 #1, 3,
5, 7, 11, 15, 17, 23* |
F 2/4 |
7.7 Inverse
trigonometric functions and their derivatives |
§7.7 #1, 3,
5, 19, 21, 23, 29, 31, 37, 39, 41, 43, 49, 51, 53, 55, 57, 67, 68, 69, 71, 72 |
M 2/7 |
Review |
|
T 2/8 |
Exam,
7:30-9:30pm, room tba |
|
W 2/9 |
8.1
Integration by substitution |
§8.1 #1, 3,
11, 13, 15, 29, 45, 47, 68* |
F 2/11 |
8.2 Some
trigonometric integrals |
§8.2 #1, 3,
9, 19, 23, 32*, 33* |
M 2/14 |
8.3
Rationalizing substitutions |
§8.3 #1, 3,
5, 7, 17, 19, 29, 32, 33* |
W 2/16 |
8.4
Integration by parts |
§8.4 #1, 5,
9, 11, 13, 41, 45, 57, 59, 65, 88* |
F 2/18 |
8.5
Integration by rational functions |
§8.5 #1, 3,
5, 7, 11, 17, 21, 42* |
M 2/21 |
Integration
summary, Wallis product project |
|
W 2/23 |
9.1
Indeterminate forms of type 0/0 |
§9.1 #1, 3,
5, 7, 15, 25*, 27 |
F 2/25 |
9.2 Other
indeterminate forms |
§9.2 #1, 3,
5, 11, 23, 27, 33, 45, 46* |
M 2/28 |
9.3
Improper integrals: infinite limits |
§9.3 #1, 3,
5, 11, 19 |
W 3/1 |
9.4
Improper integrals: infinite integrands |
§9.4 #1, 3,
5, 7, 21, 23, 43, 45, 46*, 47*, 51* |
F 3/3 |
Review |
|
M 3/6 |
Review |
|
T 3/7 |
Exam
7:30-9:30pm, room tba |
|
W 3/8 |
10.1
Infinite sequences |
§10.1 #1,
3, 5, 7, 9, 11, 13, 15, 17, 19,21, 23, 25, 37*, 38*, 39*, 51, 52* |
F 3/10 |
10.2
Infinite series Last day to withdraw |
§10.2 #1,
3, 5, 7, 9*, 11, 13, 15, 17, 21, 23, 25, 27, 29*, |
M 3/20 |
10.3
Positive series: The integral test |
§10.3 #1,
3, 5, 9, 11, 13, 15, 17, 23, 25, 29, 30, 31, 32 |
W 3/22 |
10.4 Positive
series: other tests |
§10.4 #1,
3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 31, 36* |
F 3/24 |
10.5
Alternating series, absolute convergence and conditional convergence |
§10.5 #1,
3, 5, 7, 9, 11, 17, 19, 25, 42*, 43*, 45* |
M 3/27 |
10.6 Power
series |
§10.6 #1,
3, 5, 7, 9, 17, 19, 21, 23 |
W 3/29 |
10.7
Operations on power series |
§10.7 #1,
3, 5, 7, 9, 13, 15, 25, 27, 33*, 34*, 35* |
F 3/31 |
10.7
Operations on power series |
|
M 4/3 |
10.8 Taylor
and MacLaurin series |
§10.8 #3,
7, 19, 21, 27, 29, 33c |
W 4/5 |
11.1 The
Taylor approximation to a function |
§11.1 #1,
3, 9, 14, 17, 19, 21, 39, 41, 43, 49 |
F 4/7 |
Review |
|
M 4/10 |
Review |
|
T 4/11 |
Exam
7:30pm-9:30pm, room tba |
|
W 4/12 |
11.2
Numerical integration |
§11.2 #1,
5, 7, 9, 13, 17, 19*, 25, 26, 33*, 34* |
F 4/14 |
11.3
Solving equations numerically |
§11.3 #1,
3, 5, 7, 9, 11, 15, 17, 18*, 19*, 21, 25* |
M 4/17 |
11.4 The
fixed point algorithm |
§11.4 #1,
3, 5, 7, 9, 19* |
W 4/19 |
12.6 The
polar coordinate system |
§12.6 #1,
3, 9, 11, 13, 15, 17, 19, 23, 37* |
F 4/21 |
12.7 Graphs
of polar equations |
§12.7 #1,
3, 7, 9, 13, 17, 21, 25, 27, 33, 35, 37, 43, 45 |
M 4/24 |
12.8
Calculus in polar coordinates |
§12.8 #1,
3, 5, 7, 11, 13, 15, 17, 32*, 33 |
W 4/26 |
Review |
|
F 4/28 |
Review |
|
R 5/4 |
Final exam,
CB114, 8-10am |
|
Problems
marked with a * are particularly interesting.