Harvard University Summer School

Math S-1ab - Calculus I and II

Harvard University
Summer School

Homework Assignments

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Unless stated otherwise, the problem numbers refer to problems in " CALCULUS, Concepts and Contexts ".

Homework is always due at the beginning of class on the due date.

Please turn in homework to Mike and Teri every morning before class, unless you have made special arrangements with the instructor.

Day Problems Due Date
1 2.1/ 2, 4, 6, 8
2.2/ 2, 4, 6, 8, 10 12, 18, 20abc
Solutions to 2.1 Solutions to 2.2
June 25
2 2.3/ 2, 4, 8, 12, 16, 20, 34, 44
2.4/ 4, 6, 8, 14, 18, 28, 38, 40
Solutions to 2.3 Solutions to 2.4
June 26
3 2.5/ 2, 4, 8, 18, 22, 26, 36, 42
2.6/ 2, 6ab, 10, 14, 16, 20, 24
Solutions to 2.5 Solutions to 2.6
June 27
4 2.7/ 2, 6, 8, 14, 18, 22, 30, 32
2.8/ 2, 4, 10, 14, 20, 24, 32, 36, 48
Solutions to 2.7 Solutions to 2.8
June 30
5 2.9/ 6ab, 8, 10, 12, 14
2.10/ 2, 4, 8, 10, 12, 16, 24, 28
Solutions to 2.9 Solutions to 2.10
July 1
6 3.1/ 6, 8, 12, 18, 22, 46, 50, 62
3.2/ 2, 6, 12, 16, 22, 28, 32, 34, 38
Solutions to 3.1 Solutions to 3.2
July 2
7 3.3/ 4, 6, 10, 12, 16, 24abd
3.4/ 4, 8, 12, 14, 18, 26, 38, 42
Solutions to 3.3 Solutions to 3.4
July 3
8 3.5/ 2, 6, 8, 12, 22, 30, 42, 48, 72
3.6/ 2, 4, 8, 12, 16, 26, 34, 38, 54
Solutions to 3.5 Solutions to 3.6
July 8
9 3.7/ 2, 4, 6, 14, 18, 22, 32, 36
3.8/ 2, 8, 12, 16, 20
Solutions to 3.7 Solutions to 3.8
July 9
10 4.1/ 2, 6, 10, 16, 22, 30, 34
4.2/ 4, 6, 12, 22, 24, 34, 38, 44
Solutions to 4.1 Solutions to 4.2
July 10
11 4.3/ 2, 6, 10, 14, 20, 24, 26, 42, 48
4.5/ 2, 6, 14, 22, 28, 32, 56
Solutions to 4.3 part 1 Solutions to 4.3 part 2
Solutions to 4.5
July 11
12 4.6/ 2, 4, 6, 8, 10, 12, 14, 18, 22, 28, 36, 40
Solutions to 4.6 part 1 Solutions to 4.6 part 2
July 14
13 4.7/ 2, 4, 6, 10, 12, 14, 18
4.8/ 4, 6, 10, 24, 26, 28
Solutions to 4.7 Solutions to 4.8
July 15
14 5.1/ 2, 4, 12, 16, 18
5.2/ 2, 6, 12, 18, 24, 30, 32, 36, 40
Solutions to 5.1 Solutions to 5.2
July 16
15 5.3/ 2, 6, 14, 16, 20, 28, 34, 46, 60
5.4/ 4, 6, 8, 12, 18, 20, 24
Solutions to 5.3 Solutions to 5.4
July 17
16 5.5/ 2, 6, 12, 18, 28, 32, 44, 48, 56
Solutions to 5.5
July 21
17 5.6/ 4, 9, 14, 16, 18, 22, 28
5.7/16, 18, 24, 25, 29
Solutions to 5.6
July 22
18 5.9/ #1,2
5.10/# 2, 6, 14, 20, 24, 29, 49 but integrate from 1 to infinity not 0 to 1, 51, 55
Solutions to 5.9
July 23
19 6.1/ #25
6.2/ # 12, 23, 28, 35a, 42 (set up - don't need to do)
Integration Handout # 1,2,3,4
Solutions
July 24
20 6.3/ #4
Integration Handout # 5, 6, 7, 8, 9, 10, 11
Solutions
July 25
21 6.4/ #2, 6
6.5/ #2, 4, 7, 8, 10, 14
Integration Handout # 12
Solutions
July 28
22 8.1/ # 39, 43
8.2/ # 1, 2, 12, 16, 18, 34, 48, 51
Series Handout # 1, 2, 3, 5
Solutions
July 29
23 8.3/ #2, 4, 5, 9, 10, 12, 15, 16, 18, 19
8.4/ # 9, 11, 13, 19
Series Handout # 6, 15
Solutions
July 30
24 8.4/ # 2, 20, 22, 31, 33
8.5/ #4, 12, 14, 16, 20
Series Handout # 9, 10, 11, 12, 13
Solutions
July 31
25 8.6/ #11, 22, 25
8.7/ # 11, 29, 32, 36, 38
Series Handout # 7, 8
Solutions
August 4
26 8.6/ #10, 16, 24
8.7/ # 13, 37
8.8/ #1, 9a 8.9 /#19

Solutions
August 5
27 7.1/ #7, 11
7.2/ #3, 4, 5, 6 ( use the web applet dfield to check your work. The applet is on the site www.courses.fas.harvard.edu/~maths1b under supplements)
Differential Eqns Handout #1, 2, 3, 4, 5
Solutions
August 6
28 7.3/ #4, 10
7.4/ #19bcd
Solve: dy/dt = 3y(7-y). Check your answer. Then find the particular solution where y(0) = 4.
Supplement on the web G:31.3 pp. 1014-15 #2,3,6
Differential Eqn Handout #6, 8
Solutions
August 7
29 7.3/ #34, 36
Differential Eqn Handout #7, 9, 10, 11, 12 13
Solutions
August 8
30 Differential Eqns Handout #14, 15, 16
7.6/ #1, 2
Chapter 7 Review/ #20 (where the trajectories in (d) are closed curves) and #21

Solutions
self-correct
Here is a practice final exam.
Here are the solutions to the practice final exam.
The Final Exam will be on Tuesday, August 12 at 9am.
Any and all scheduling conflicts should be resolved with the Academic Services Office
at 51 Brattle Street, (617) 495-0977.

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Page maintained by John Mackey.
Last updated: April 22, 2003.