Homework assignments for Math 112: Calculus II
From James Stewart, Calculus: Early Transcendentals Single Variable
6th ed., © 2008. Links to solutions
(in .pdf format) will be posted after an assignment is turned in.
Since students are not required to have a graphing calculator, even if it
is not mentioned, any part of any problem that is marked with the "graphing
calculator" symbol is not assigned, and its answer
does not appear in the solutions. All other parts of such problems are
part of the assignment.
To get to the index page for the solutions, type the code word
in the box, then click the button:
Chapter 3:
- Page 213 (Ch 3, sec 5): 47, 49, 52, 57. (Due 8 Sep?)
[To the course syllabus]
Chapter 4:
- Page 304 (Ch 4, sec 4), first assignment: 1, 2, 3, 4, 6, 7,
11, 15, 19, 26, 33, 45 (this is the log times the tangent, not
the log of the quantity "x times the tangent"), 76, 78.
(Due 10 Sep?)
- Page 304 (Ch 4, sec 4), second assignment: 53, 54 (not hard,
but uglier than a second question should be), 58, 61, 69, 73.
(Due 13 Sep?)
[To the course syllabus]
Chapter 6:
- Page 430 (Chapter 6, Section 2): 3, 8, 11,
32, 33, 52, 58. (Due 15 Sep?)
- Page 436 (Chapter 6, Section 3): 3, 6, 10, 23,
38, 40. (Due 17 Sep?)
- Page 445 (Chapter 6, Section 5): 1, 4, 6, 9, 10, 19.
(Due 22 Sep?)
[To the course syllabus]
Chapter 7:
- Page 457 (Chapter 7, Section 1), first assignment: 1, 5, 8,
10, 17, 22, 25, 28. (Due 3 Sep?)
- Page 457 (Chapter 7, Section 1), second assignment: 33, 36,
38, 48, 52, 58, 59. (Due 6 Sep?)
- Page 465 (Chapter 7, Section 2), first assignment: 2, 3, 11,
16, 21. (Due 24 Sep.)
- Page 465 (Chapter 7, Section 2), second assignment: 27, 34, 43,
57, 66, 68. (Due 1 Oct.)
- Page 472 (Chapter 7, Section 3): 4, 8, 11, 17, 23, 30, 43.
(Due 6 Oct.)
- Page 481 (Chapter 7, Section 4): 3, 6, 9, 16, 29, 41, 42, 52,
57, 59. (Due 15 Oct.)
- Page 488 (Chapter 7, Section 5): 6, 11, 19, 20 (dirty trick
alert!), 32, 41, 54, 64, 79. (Not assigned.)
- Page 493 (Chapter 7, Section 6): 4, 6, 9, 14, 21, 25, 29.
(Not assigned.)
- Page 505 (Chapter 7, Section 7): 1, 16, 21, 22, 30, 37.
(Due 22 Oct.)
- Page 515 (Chapter 7, Section 8): 2, 5, 6, 11, 16, 23, 28,
37, 40, 58, 63. (Due 27 Oct.)
[To the course syllabus]
Chapter 8:
- Page 530 (Chapter 8, Section 1): 4, 5, 9, 12, 19
(note 23); and page 537 (Chapter 8, Section 2): 3, 6, 14
(note 25). (Due 5 Nov.)
[To the course syllabus]
Chapter 9:
- Page 571 (Chapter 9, Section 1): 2, 5, 9, 11, 12, 14. (Due
8 Nov.)
- Page 578 (Chapter 9, Section 2): 1, 3, 6, 11, 19, 20, 23.
(Due 10 Nov.) I encourage you to try to use Maple in the Math Dept
computer lab, McG 201E, especially for 11. Here are links to
some graphics, either scanned from the text (so that
you don't have to write in your text), created by Maple
or drawn by hand; you can print them out and draw your solutions
on them:
- Page 586 (Chapter 9, Section 3): 3, 6, 8, 13, 21, 34,
38, 43. (Due 19 Nov.)
- Page 606 (Chapter 9, Section 5): 2, 3, 5, 8, 10, 12, 17,
19, 25, 33. (Due 22 Nov.)
[To the course syllabus]
Chapter 11:
- Page 727 (Chapter 11, Section 8): 5, 12, 15, 17, 22, 28,
30, 40. (Due 1 Dec.)
- Page 733 (Chapter 11, Section 9): 3, 7, 9, 10, 11, 14, 17,
24, 26. (Due 3 Dec.)
- Page 746 (Chapter 11, Section 10): 2, 7, 14, 32, 33 43
(This one uses the "Alternating
Series Estimation Theorem", which simply says that if the terms in
a series alternate in sign and decrease to 0 in absolute value, then
the difference in absolute value between any partial sum and the limit
of the series is less than the absolute value of the next term in the
series.), 56. (Due 6 Dec.)
[To the course syllabus]
Chapter 10:
- Page 626 (Chapter 10, Section 1): 3, 6, 9, 16, 20, 24, 28, 35
(Don't use a calculator or computer -- list the parametric equations
and intervals for the parameters for each part of the figure. Use
0.1 for the radii of the eyes.), 44a (Recall that the polar
equation for an n-leafed rose, with n odd, is
r = n cos θ.) There is a sketch of
the cissoid of Diocles on the solution page.
(Due 8 Dec.)
- Page 636 (Chapter 10, Section 2): 3, 6, 13, 16, 19,
27, 42, 66. (Note 74.) (Due 10 Dec.)
[To the course syllabus]
Revised: 29 November 2010. Questions to:
dlantz@colgate.edu
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