Math 213 Calculus III
Monday, Wednesday, and Friday
11:10am12:00pm (Section 1), 12:101:00pm (Section 2)
Hayes Hall 311
Textbook
Calculus:
Multivariable, Fourth Edition, by
McCallum, HughesHallett, Gleason, et al.
You can find the book at a low price here.
Office
Hours (Hayes 309A)
Monday 2:103:00
Tuesday 3:104:00
Wednesday 3:104:00
Thursday 1:103:00
Dropin
Tutoring with Kate (Tomsich 103)
Wednesday 7:009:00
Math
and Science Skills Center Tutoring (Tomsich 101)
Sunday, Tuesday,
Thursday 7:0010:00
Homework
Assignment 
Problems 
Due Date 
1 
Section 12.1: #12, 13, 18, 2022, 25 
Monday, 8/29 
2 
Section 12.1: #2, 6, 26, 28, 30, 31 Section
12.2: #3, 4, 7, 10 Note on
problems 310: You can use Maple to check your answers, but you should do the
problems first without. (Save the worksheet to your H: drive,
then open. Alternatively, you can find the file on the P: drive under
Class/Math/Smith/Math213Fa11.) 
Wednesday, 8/31 
3 
Section 12.2: #6, 8, 15, 1719, 21 (Save the worksheet to your H: drive,
then open. Alternatively, you can find the file on the P: drive under
Class/Math/Smith/Math213Fa11.) Turn this Maple worksheet in by
printing your separate worksheet with answers to each of the five exercises
OR by emailing me your maple worksheet saved as MapleIntro_yourname.mw. 
Friday, 9/2 
4 
Section 12.3: #6, 7, 10, 11, 1618, 21, 22, 26, 30, 32, 33 Contours
Worksheet 
Monday, 9/5 
5 
Section 12.4: #3, 9, 10, 1215, 16, 19, 22, 24, 26, 27 
Wednesday, 9/7 
6 
Section 12.6: #2, 3, 912, 1418 (put off εδ proof problem
until Wed) 
Monday, 9/12 (but it's a
good idea to work ahead!) 
You are encouraged to work in pairs! 
Friday, 9/16 

7 
Required: εδ problem from Limits Worksheet, Section 13.1: 6, 19, 23, 24 Section
13.2: 16, 12, 17, 18 Recommended:
Section
13.1: 2, 13, 14, 18, 30 Section
13.2: 7, 11, 15, 19, 22 Work on your project! 
Wednesday, 9/14 
8 
Section 13.3: 5, 6, 13, 14, 18, 20, 21, 24, 26, 29, 32, 33, 36,
38, 41 Work on your project! 
Friday, 9/16 
9 
Sec 13.4: 6, 7, 9, 12, 14, 15, 18, 21, 22, 23, 28, 29, 34 
Monday, 9/19 
10 
Wednesday, 9/21 

11 
Sec 14.1: 1, 6, 7, 8, 1317, 20 Sec 14.2: 1, 4, 6, 7, 8, 10, 12, 22, 24, We will cover the rest of the
material necessary for these problems in class on Friday, so the assignment (which will count as two assignments) will be due
on Monday. 
Monday, 9/26 
12 
Review HW (Please note
that these problems are a tool to help you study – they are not intended to
represent a sample exam). Turn in bolded
problems: Sec 12.1: 3, 6, 8, 19 Sec 12.2: 310 (5), 14, 22 Sec 12.3: 16, 17, 23, 29 Sec 12.4: 1, 47, 1215, 17, 24 Sec 12.6: 1, 2, 4, 10, 15, 18, 20 Sec 13.1: 2, 7, 14, 18, 23, 30 Sec 13.2: 3, 5, 13, 14, 21, 24 Sec 13.3: 1, 8, 11, 14, 15, 20, 21, 25, 29, 30,
35, 40 Sec 13.4: 5, 9, 11, 18, 21, 23, 25 Sec 14.1: 2, 4, 8, 11, 13, 18 Sec 14.2: 2, 7, 27, 34, 37, 43, 45 Study for Exam 1! 
Wednesday,
9/28 
13 
Sec 14.3: 4, 7, 8, 11, 14, 16,
18, 19, 21, 22 
Friday, 9/30 
14 
Sec 14.4: 16, 3638, 44, 48, 53 Finish inclass worksheet. 
Monday, 10/3 
15 
Sec 14.4: 20, 24, 33, 45, 46,
5052, 55, 58, 6466 Extra credit survey. 
Wednesday, 10/5 
16 
Finish gradient worksheet. 
Monday, 10/10 
17 
Sec 14.6: 46, 9, 11, 12, 15, 17, 19,
22, 25, 3638 
Wednesday, 10/12 
18 
Sec 14.7: 68, 22, 24, 26, 33,
35, 36, 38 
Friday, 10/14 
19 
Sec 14.8: 5, 8, 9, 12, 15, 17 
Monday, 10/17 
20 
Question 7 from inclass worksheet Sec 15.1: 5, 16, 21, 23, 26, 31 Finish
your project! 
Wednesday, 10/19 
21 
Sec 15.2: 2, 6, 7, 10, 13, 16,
18, 19, 21, 24, 25, 29, 32 Problem 5 from inclass worksheet. We’ll cover regression and do more with
optimization on Friday, but you should be able to do most of these problems
now. Plan ahead – ODK 2 will be
Monday, 10/31. 
Monday, 10/24 
22 
Sec 15.3: 3, 9, 1416, 19, 23, 25 
Friday, 10/28 
23 
Review HW (Please note
that these problems are a tool to help you study – they are not intended to
represent a sample exam). Turn in bolded
problems: Sec 14.3: 3, 9, 13, 16,
18 Sec 14.4: 5,
19, 29, 37, 43, 45, 48, 55 Sec 17.1: 7,
13 Sec 14.6: 3, 13,
23d Sec 14.7: 9,
21, 23, 25, 33, 37, 38 Sec 14.8: 2, 3, 4, 13 Sec 15.1: 7, 1618, 19 Sec 15.2: 4, 13, 27. Find the least squares line for the
set of points (2,0), (0,2), (2,3). Find the absolute max and min of on the ellipse and on the semiellipse Sec 15.3: 5, 11,
17, 29 Study for Exam 2! 
Monday, 10/31 
24 
Sec 16.1: 46, 9, 13, 14, 20, 22,
23, 26, 29a, 31 
Friday,
11/4 
25 
Sec 16.2: 7, 10, 14, 22, 23, 
Monday,
11/7 
26 
Sec 16.3: 5, 6, 1013, 16, 22
(setup only), 26, 28, 30, 31, 34, 39, 40, 43, 47 
Friday, 11/11 
27 
Sec 16.4: 2, 3, 8, 10, 1417, 19,
21, 23 
Monday, 11/14 
28 
Sec 16.5: 1, 3, 6, 7,
9, 12, 13, 1517, 22, 
Wednesday, 11/16 
29 
Review HW (Please note
that these problems are a tool to help you study – they are not intended to
represent a sample exam). Turn in bolded
problems. Review Exercises, pg. 825: 3, 4, 5, 7, 8, 1014, 15, 1720, 21, 22, 2325,
2729, 32, 33, 41, 42, 47 
Friday, 11/18 
30 
Sec 17.1: 3, 10, 15, 17, 21, 25,
33, 34, 45, 47, 51, 53, 55 
Wednesday, 11/30 
31 
Sec 17.2: 6, 10, 13, 16, 20, 22, 25, 26, 30,
32, 34, 35 Note that the formula for the length of a curve
is given on pg. 844. It should be intuitive! 
Friday, 12/2 
32 
Sec 17.3: 2, 4, 5, 11, 16, 17, 2123, 25 Sec 17.4: 68, 10, 18 Maple
commands for plotting a vector field and flow line: with(DEtools) : d1 := diff(x(t), t) =
x(t)+2*y(t); d2 := diff(y(t), t) = 2*x(t)+y(t); DEplot([d1, d2], [x(t), y(t)], t = 0 .. 3, x = 5 .. 5, y = 3 .. 3, numpoints
= 60, arrows = medium); DEplot([d1, d2], [x(t), y(t)], t = 0 .. 3, x = 5 .. 5, y = 3 .. 3, [[x(0) = .5, y(0) =
.5]], numpoints = 60, linecolor
= black, arrows = medium); Blue is for
the vector field. Purple is
for the vector field and a flow line. 
Monday, 12/5 
33 
Sec 18.1: 10, 11, 1416, 1921, 25, 26 Note that the definition of circulation is
given on pg. 880. The point is that it gives us a term
to denote the special case when we have a closed curve. (Picture things like
rectangles and circles, not line segments.) 
Wednesday, 12/7 
34 
Sec 18.2: 6, 16, 1820, 22 Note that work is defined on page 879. 
Friday, 12/9 
35 
Sec 18.3: 3, 5, 7, 9, 10, 13, 17, 2830 For question 17, you can compute the integral
in Maple. Answers to even problems: 10 pathdependent 28 (b) longer, (c) 0.3 30 (a) positive, (b) F is not a gradient field, (c) F_{2} 
Final exam day, before the exam. 