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.
Week

Dates

Sections, topics

Required problems

Suggested problems

Problem sets

0

Aug 2729

5.15.3, 5.4
Review of 112, Fundamental Theorem of Calculus

5.3
2, 8, 30, 58, 68
5.4
2, 32, 50, 64

5.3
3, 9, 13, 21, 25, 57, 67
5.4
1, 21, 37, 49, 63


1

Sept
15

5.4 (cont.), 5.5, 6.1
Indefinite integrals, net change theorem and the substitution rule. Areas between curves.

5.5
14, 32, 38, 60, 86
6.1
2, 20, 22, 46

5.5
3, 7, 23, 25, 31, 55, 85
6.1
1, 7, 17, 21, 23, 47


2

Sept
812

6.2, 6.3, 7.1
Volumes by discs/washers, volumes by cylinders. Integration by parts.

6.2
4, 16, 22, 58
6.3
8, 18, 20
7.1
4, 10, 26, 40

6.2
3, 9, 15, 25, 27, 55
6.3
1, 9, 11, 17
7.1
3, 15, 17, 23, 27, 39

Problem Set #1
(Sections 5.3, 5.4, 5.5, 6.1)

3

Sept
1519

7.5, 7.7
Strategies for integration. Approximate integration. Improper integrals.

7.5
6, 22, 24, 64, 66
7.7
4, 8, 22, 46

7.5
: 9, 13, 17, 29, 61, 63
7.7
1, 7, 21, 45
7.8
1, 7, 15, 19, 31, 39

Problem Set #2
(Sections 6.2, 6.3, 7.1)

4

Sept
2226

7.8, 8.1
Improper integrals.
Arc length.

7.8
2, 24, 34, 52, 78
8.1
10, 18

7.8
1, 7, 15, 19, 31, 39, 51, 77
8.1
1, 7, 13, 17

Problem Set #3
(Sections 7.5, 7.7)

5

Sept
29Oct 3

10.3, 10.4
Polar coordinates. Calculus on polar functions.

10.3
16, 24, 48, 54, 60
10.4
4, 12, 30, 48

10.3
9, 13, 17, 23, 47, 55
10.4
1, 11, 23, 29, 47

Problem Set #4
(Sections 7.8, 8.1)


Oct 1

Midterm #1, 78:30p.
Content
: Sections 5.3 through 7.8.




6

Oct
610

11.1, 11.2, 11.3
Sequences.
Series. Integral test.

11.1
14, 34, 36, 38, 48
11.2
18, 30, 34, 40, 68
11.3
: 8, 26, 30

11.1
5, 13, 17, 25, 33, 45, 47
11.2
15, 17, 29, 39, 61, 67
11.3
9, 21, 25

Problem Set #5
(Sections 10.3, 10.4)

7

Oct
1317

11.4, 11.5, 11.6
Comparison tests. Alternating series.
Ratio test.

11.4
10, 24, 28
11.5
4, 10, 24, 32
11.6
10, 12, 22, 26, 30

11.4
11, 15, 17, 23, 25, 43
11.5
3, 11, 17, 25
11.6
7, 9, 15, 21, 23, 25

Problem Set #6
(Sections 11.1, 11.2, 11.3)

8

Oct
2024

11.7
Strategies for testing convergence.
Fall Break!

11.7
14, 20, 26, 34

11.7
9, 11, 13, 21, 27, 35, 37


9

Oct
2731

11.8, 11.9
Power Series.
Representing functions by power series

11.8
4, 16, 18, 30, 32, 42
11.9
8, 18, 28, 40

11.8
5, 7, 11, 19, 29, 33, 41
11.9
5, 7, 15, 17, 25

Problem Set #7
(Sections 11.4, 11.5, 11.6)

10

Nov
37

11.10, 11.11
Taylor and Maclaurin series and error.

11.10
8, 18, 34, 38, 48, 56, 64

11.10
5, 13, 15, 33, 47, 55, 57, 59, 69

Problem Set #8
(Sections 11.7, 11.8, 11.9)

11

Nov
1014

11.11 (cont.), 9.1
Modeling with Diff. Eq.

11.11
14, 26, 28, 30
9.1
4, 6, 10, 12, 14

11.11
13, 25, 27, 31
9.1
3, 7, 9, 11, 15

Problem Set #9
(Section 11.10)


Nov
12

Midterm #2 78:30p.
Content
: Sections 8.1 through 11.9.




12

Nov
1721

9.2, 9.3
Direction Fields and Euler's Method. Separable Equations

9.2
4, 6, 10, 18, 24, 28
9.3
6, 12, 16, 30, 38, 48

9.2
3, 5, 9, 13, 23
9.3
7, 13, 19, 29, 39, 53

Problem Set #10
(Sections 11.11, 9.1)


Nov
2428

Thanksgiving Break!

Prove the Riemann Hypothesis

Get some rest!


13

Dec
15

9.4, 9.6
Models for Population Growth
PredatorPrey Systems

9.4
4, 16, 20
9.6
2, 6, 8, 10

9.4
5, 9, 15, 17
9.6
3, 5, 7, 11

Problem Set #11
(Sections 9.2, 9.3, 9.4)


Final Exam




Problem Set #12
(Section 9.6) (EC)

Revised 9.8.14
