MTH 232 S2016
IK
THE COLLEGE OF STATEN ISLAND, CUNY
DEPARTMENT OF MATHEMATICS
MATH 232 – CALCULUS II
COURSE OUTLINE
Text: Rogawski and Adams, Calculus – Early Transcendentals, Third Edition
W. H. Freeman & Co. (2015). ISBN# 978-1-4641-1488-5
Note: Below, each lesson corresponds to a one-hour class. Homework problems in bold
correspond to similar WeBWorK problems, which must be submitted online.
Students are also required to complete five MATLAB projects listed below,
which can be obtained in PDF at www.lulu.com with search term “csi math”.
Lesson
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
Section
5.2
5.3
5.4
5.5
5.7
5.7
5.8
6.1
6.1
6.2
6.2
6.3
6.3
6.4
6.4
7.1
7.1
7.2
7.3
7.3
7.5
7.5
7.6
7.7
7.7
8.4
8.4
10.1
10.1
Topic
Review: Definite integral
Review: Indefinite integral
Review: Fundamental Theorem of
Calculus
Review: Integration by substitution
Review: Integration by substitution
Integrating transcendental functions
Area between two curves
Area between two curves
Volume, Average value
Volume, Average value
Volume of revolution
Volume of revolution
Cylindrical shells
Cylindrical shells
Integration by parts
Integration by parts
Trigonometric integrals
Trigonometric substitution
Trigonometric substitution
Partial fractions
Partial fractions
Strategies for integration
Review
Exam 1
Exam 1
Improper integrals
Improper integrals
Taylor polynomials
Taylor polynomials
Sequences
Sequences
Homework Problems
5.2/ 8, 13, 18, 23, 27, 37, 44, 56, 83
5.3/ 17, 22, 24, 26, 38, 43, 45
5.4/ 14, 19, 29, 34, 35, 40, 41
35, 38, 43, 56, 60, 69, 85, 86, 91, 95
MATLAB 1: Intro to Symbolic Math
5.8/ 3, 9, 13, 17, 43, 50, 57
1, 3, 4, 7, 8, 9, 11, 17, 20, 29, 36
1, 5, 8, 9, 11, 13, 14, 37, 39, 45, 58
1, 3, 5, 7, 9, 11, 23
MATLAB 2: Applications of Integration
1, 5, 11, 15, 17, 20, 24, 26
3, 4, 5, 7, 11, 13, 16, 18, 25, 47, 50
1, 3, 5, 9, 11, 20, 28
1, 3, 5, 13, 15, 17, 19, 24
1, 9, 12, 14, 17, 31, 40, 52
MATLAB 3: Integration
22, 31, 38, 42, 45, 57
12, 15, 21, 27, 48, 53, 54, 65, 66, 76
1, 3, 7, 9, 14, 15, 25
MATLAB 4: Taylor Polynomials
15, 21, 23, 28, 47, 57, 58, 61, 62, 63
MTH 232 S2016
IK
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
10.2
10.2
10.3
10.3
10.4
10.4
10.5
10.5
10.6
10.6
10.7
10.7
8.1
8.1
11.1
11.1
11.2
11.2
11.3
11.3
11.4
11.4
Series
Series
Convergence of positive series
Convergence of positive series
Absolute and conditional convergence
Absolute and conditional convergence
Ratio and root tests
Ratio and root tests
Power series
Power series
Taylor series
Taylor series
Review
Exam 2
Exam 2
Arc length and surface area
Arc length and surface area
Parametric equations
Parametric equations
Arc length and speed
Arc length and speed
Polar coordinates
Polar coordinates
Area in polar coordinates
Area in polar coordinates
Final review
Final review
9, 11, 24, 25, 26, 28, 30, 44, 48, 49
3, 5, 7, 10, 12, 20, 21, 25, 51, 57, 47
3, 6, 13, 10, 15, 19, 24
5, 7, 11, 15, 23, 37, 39, 41, 47, 49, 51
1, 7, 13, 24, 11, 20, 23, 27, 31
4, 5, 9, 12, 32, 37
7, 9, 11, 13, 17, 20, 36, 39
11, 13, 15, 17, 19, 21, 27, 31, 41, 45
5, 7, 17, 18, 31, 33
3, 5, 15, 19, 25, 29, 31, 43
MATLAB 5: Polar Graphs
7, 9, 10, 13, 14, 16