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Math 126 Homework
Homework will not be collected. Each section in the text includes some Preliminary Questions
before the rest of the Exercises. You should do all of these Preliminary Questions unless
otherwise indicated (answers to all Preliminary Questions are in back of text). Only do odd
numbered Exercises, unless otherwise noted. For example, if I assign #1-7, do Exercises 1, 3, 5
and 7. The answers to odd numbered Exercises are at the back of the text. Note that the text
contains review exercises for each chapter. The relevant ones are listed at the end of this
document. There is a list of known errors in the text posted on my website.
You are also expected to do the Practice exercises in the notes and check the solutions on my
website: http://66.51.172.120/maanders/126.htm Tutorial worksheets posted on the website
contain more exercises. Be sure to do any problems in the Tutorials that are significantly
different from those in the text or notes.
Notes
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Homework from Text
Areas, Integrals
& the FTC
pp 1-13
5.1
You are not responsible for evaluating the limits of Riemann
sums (except by geometry in certain cases).
p 296 #1, 3 (note units in table for
should be cm/h),
5-29, 65-71, 75, 79 (use calculator)
pp 13-22
5.2
p 307 #3-9, 13-25, 29-33, 39-67, 71, 73
pp 23-26
5.3
p 314 #1-5, 11-15, 19, 23-55, 59
pp 27-32
5.4
p 320 #1-49
pp 33-34
5.5
You are not responsible for Marginal Cost.
p 326 #1-15, 19, 23, 25
5.6
p 333 #3, 5, 9-15, 21, 31-39, 43-45, 49, 53, 57-61, 65-79, 83,
87-91, 95
More practice: 17, 19, 27, 29, 41, 47, 51, 55, 63, 81, 85
You are not responsible for 5.7 Example 2 or any question
involving
as an antiderivative.
p 339 #3, 5, 9-17, 23-69
Techniques of
Integration
pp 1-8
5.7
pp 9-14
7.1
You are not responsible for reduction formulas.
p 403 #1-5, 9-17, 21-27,31, 37, 41-53, 59-69
More practice: #7, 19, 39
Notes
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Homework from Text
Techniques of
Integration
pp 14-20
Areas Bounded by
Curves
7.5
You are not responsible for repeated quadratic factors (like
Example 6).
p 434 #1-7, 11-15, 19, 25-31, 35, 37, 41, 45-49
More practice: #9, 17, 21, 23, 33
6.1
Use calculator for questions specifying CAS.
p 361 #1-5, 11-25, 29, 31, 37-49, 53, 55
Volumes
pp 1-6
6.2 pp 365
to 366
pp 7-14
6.3, 6.4
Average Value
6.2 pp 370371
p 372 Prelim Question 2 only; Exercises #1-23
p 381 #1, 3, 7, 9, 13-17, 21-39, 45-61
p 389 #7, 11-53; p 404 #71
p 375 Prelim Questions 1, 5; Exercises #39-57
Work
6.5
p 394 #1-33 In #21, the length of the cylinder is .
Improper
Integrals
7.6
You are not responsible for Theorems 1 and 3 (p-integrals and
Comparison Test).
p 444 Prelim Questions 1 to 3; Exercises #1-53, 81 (a) only
Arc Length
8.1
You are not responsible for Surface Area.
p 471 #1-9, 25
Taylor
Polynomials
8.4
You are not responsible for the Error Bound or Taylor’s
Theorem.
p 495 Prelim Questions 1-3; Exercises #1-29, 49-55
pp 1-7
9.1
p 507 Omit Prelim Questions.
#1-45, 53, 59, 61
pp 8-10
9.4
p 527 #1-7, 11
pp 11-13
pp 528A528D
p 528C #1-4 (all)
pp 14-19
pp 528E528H
p 528H #1-4 (all)
Differential
Equations
Notes
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Homework from Text
10.1
pp 537-542
You are not responsible for formal proofs like Example 2 p
538.
p 545 Prelim Questions #1-4 Exercises #1-29, 35-69, 75, 79
Sequences &
Series
pp 1-10
pp 11-20
10.2
p 556 #1-37, 43-47, 55 Use graphing calculator when asked
to use CAS.
pp 21-24
10.4
p 573 #1-11, 15 (use calculator), 17, 25, 29, 33
Show whether series converge or diverge instead of showing
absolute convergence /conditional convergence.
pp 25-27
10.5
You are not responsible for the Root Test.
p 578 #1-33, 43, 45, 51, 55
pp 28-30
10.6
pp 579-582
pp 31-39
10.7
And pp 583585
You are not responsible for Power Series Solutions of
Differential Equations. We will use open intervals for
convergence. You are not responsible for determining
convergence at the endpoints.
p 589 #1-33
You are not responsible for Binomial Series.
p 600 omit Prelim Question #5
#1-15, for 29-35 use definition of Taylor series (may omit
interval for #33), 41, 45-51, 55, 57, 63-67, 71, 73, 81
Also do p 589 #35-51, 59
Ch 5 Review Exercises p 353 #1-5, 9-27, 31-59, 63-75, 87-91
Ch 6 Review Exercises p 397 #1-15, 19, 23-47, 51-53
Ch 7 Review Exercises p 463 #9-13, 17, 21, 27, 31, 35, 41-45, 51, 53, 57, 63, 75-83, 91
Ch 8 Review Exercises p 499 #1, 3, 21-29, 33
Ch 9 Review Exercises p 534 #3, 5, 9, 23, 25, 29, 43, 46 (answer to (c): ≈11.51 minutes), 47
Ch 10 Review Exercises p 603 #1-35, 59, 63-69, 75-81, 85, 93-99, 103-113, 117