Math 115 Calculus II Syllabus
Fall 2014
For general course information, guidelines, and policies, see the
course site on the classes*v2 server.
The text is Math 115: Calculus, Early Transcendentals, 7e by
James Stewart.
Homework is due in class on Friday otherwise specified.
Find the complete homework schedule in PDF.
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Week
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Dates
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Sections, topics
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Required problems
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Suggested problems
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Problem sets
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0
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Aug 27-29
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5.1-5.3, 5.4
Review of 112, Fundamental Theorem of Calculus
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5.3
2, 8, 30, 58, 68
5.4
2, 32, 50, 64
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5.3
3, 9, 13, 21, 25, 57, 67
5.4
1, 21, 37, 49, 63
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1
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Sept
1-5
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5.4 (cont.), 5.5, 6.1
Indefinite integrals, net change theorem and the substitution rule. Areas between curves.
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5.5
14, 32, 38, 60, 86
6.1
2, 20, 22, 46
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5.5
3, 7, 23, 25, 31, 55, 85
6.1
1, 7, 17, 21, 23, 47
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2
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Sept
8-12
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6.2, 6.3, 7.1
Volumes by discs/washers, volumes by cylinders. Integration by parts.
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6.2
4, 16, 22, 58
6.3
8, 18, 20
7.1
4, 10, 26, 40
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6.2
3, 9, 15, 25, 27, 55
6.3
1, 9, 11, 17
7.1
3, 15, 17, 23, 27, 39
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Problem Set #1
(Sections 5.3, 5.4, 5.5, 6.1)
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3
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Sept
15-19
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7.5, 7.7
Strategies for integration. Approximate integration. Improper integrals.
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7.5
6, 22, 24, 64, 66
7.7
4, 8, 22, 46
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7.5
: 9, 13, 17, 29, 61, 63
7.7
1, 7, 21, 45
7.8
1, 7, 15, 19, 31, 39
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Problem Set #2
(Sections 6.2, 6.3, 7.1)
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4
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Sept
22-26
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7.8, 8.1
Improper integrals.
Arc length.
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7.8
2, 24, 34, 52, 78
8.1
10, 18
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7.8
1, 7, 15, 19, 31, 39, 51, 77
8.1
1, 7, 13, 17
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Problem Set #3
(Sections 7.5, 7.7)
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5
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Sept
29-Oct 3
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10.3, 10.4
Polar coordinates. Calculus on polar functions.
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10.3
16, 24, 48, 54, 60
10.4
4, 12, 30, 48
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10.3
9, 13, 17, 23, 47, 55
10.4
1, 11, 23, 29, 47
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Problem Set #4
(Sections 7.8, 8.1)
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Oct 1
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Midterm #1, 7-8:30p.
Content
: Sections 5.3 through 7.8.
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6
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Oct
6-10
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11.1, 11.2, 11.3
Sequences.
Series. Integral test.
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11.1
14, 34, 36, 38, 48
11.2
18, 30, 34, 40, 68
11.3
: 8, 26, 30
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11.1
5, 13, 17, 25, 33, 45, 47
11.2
15, 17, 29, 39, 61, 67
11.3
9, 21, 25
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Problem Set #5
(Sections 10.3, 10.4)
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7
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Oct
13-17
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11.4, 11.5, 11.6
Comparison tests. Alternating series.
Ratio test.
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11.4
10, 24, 28
11.5
4, 10, 24, 32
11.6
10, 12, 22, 26, 30
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11.4
11, 15, 17, 23, 25, 43
11.5
3, 11, 17, 25
11.6
7, 9, 15, 21, 23, 25
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Problem Set #6
(Sections 11.1, 11.2, 11.3)
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8
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Oct
20-24
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11.7
Strategies for testing convergence.
Fall Break!
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11.7
14, 20, 26, 34
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11.7
9, 11, 13, 21, 27, 35, 37
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9
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Oct
27-31
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11.8, 11.9
Power Series.
Representing functions by power series
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11.8
4, 16, 18, 30, 32, 42
11.9
8, 18, 28, 40
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11.8
5, 7, 11, 19, 29, 33, 41
11.9
5, 7, 15, 17, 25
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Problem Set #7
(Sections 11.4, 11.5, 11.6)
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10
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Nov
3-7
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11.10, 11.11
Taylor and Maclaurin series and error.
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11.10
8, 18, 34, 38, 48, 56, 64
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11.10
5, 13, 15, 33, 47, 55, 57, 59, 69
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Problem Set #8
(Sections 11.7, 11.8, 11.9)
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11
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Nov
10-14
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11.11 (cont.), 9.1
Modeling with Diff. Eq.
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11.11
14, 26, 28, 30
9.1
4, 6, 10, 12, 14
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11.11
13, 25, 27, 31
9.1
3, 7, 9, 11, 15
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Problem Set #9
(Section 11.10)
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Nov
12
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Midterm #2 7-8:30p.
Content
: Sections 8.1 through 11.9.
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12
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Nov
17-21
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9.2, 9.3
Direction Fields and Euler's Method. Separable Equations
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9.2
4, 6, 10, 18, 24, 28
9.3
6, 12, 16, 30, 38, 48
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9.2
3, 5, 9, 13, 23
9.3
7, 13, 19, 29, 39, 53
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Problem Set #10
(Sections 11.11, 9.1)
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Nov
24-28
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Thanksgiving Break!
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Prove the Riemann Hypothesis
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Get some rest!
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13
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Dec
1-5
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9.4, 9.6
Models for Population Growth
Predator-Prey Systems
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9.4
4, 16, 20
9.6
2, 6, 8, 10
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9.4
5, 9, 15, 17
9.6
3, 5, 7, 11
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Problem Set #11
(Sections 9.2, 9.3, 9.4)
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Final Exam
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Problem Set #12
(Section 9.6) (EC)
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Revised 9.8.14
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