Math 213 Calculus III
Monday, Wednesday, and Friday
8:10 – 9:00am (Section 1),
1:10 – 2:00pm (Section 2)
Hayes 311
Textbook
Calculus:
Multivariable, Fifth Edition, by
McCallum, HughesHallett, Gleason, et al.
Office
Hours (Hayes 309A)
Monday 2:103:00pm
Tuesday
12:102:00pm
Thursday
10:10am12:00pm
Dropin
Tutoring with Emily at the MSSC
Sunday 9:0010:00pm
Tuesday
9:0010:00pm
Thursday
7:009:00pm
Math
and Science Skills Center Tutoring (Tomsich 101)
Sunday, Tuesday,
Thursday 7:0010:00pm
Homework
Lesson 
Date 
Section(s) 
Topic 
Homework 
Due 
1 
8/30/2013 
12.1 
Functions of Two Variables 
Section 12.1:
#2, 3, 5, 710, 12, 24, 26, 28 Read Section
12.1 and 12.2. Fill out student info sheet and read through the syllabus! 
9/2/2013 
2 
9/2/2013 
12.2 
Graphs of Functions of Two Variables 
Section 12.2:
#2,
6, 1013, 16, 24 (Worksheet
problems 24 are recommended  it’s a good idea to do them!) Read
Section 12.3. 
9/4/2013 
3 
9/4/2013 
12.3 
Contours 
Section 12.3:
#6, 9, 10, 14, 16, 18, 24, 29, 32 Contours
Worksheet: #1, 5 Read Section
12.4. 
9/6/2013 
4 
9/6/2013 
12.4 
Linear Functions 
Section 12.4:
#7, 8, 12, 13, 16, 29 Linear
Functions Worksheet Maple Intro – Find the
intro worksheet on the P:// drive: P://Class/Math/Smith/Math213/Math213Fa13 There are 2
files – one to work through and one to put your answers in. Turn in a printout
of the answer sheet file on Wed. Read Section
12.6. 
9/9/2013 9/11/2013 
5 
9/9/2013 
12.6 
Limits and Continuity 
Section 12.6:
#14 – 16 Maple Intro Start Limit
Project 
9/11/2013 
6 
9/11/2013 
12.6 
Limits and Continuity 
Section 12.6:
#47, 2123 Work on limit
project! (due Wed next week) Read Sections
13.1 and 13.2. 
9/13/2013 
7 
9/13/2013 
13.1, 13.2 
Displacement Vectors, Vectors in General 
Vector Primer
Worksheet Section 13.1:
#2, 6, 24, 25, 28 Section 13.2:
#16, 9, 11 Work on limit
project! Read Section
13.3. 
9/16/2013 
8 
9/16/2013 
13.3 
The Dot Product 
Project 1 Section 13.3:
#8, 15, 16, 18, 28, 34, 36, 38, 47, 50 Read Section
13.4. 
9/18/2013 9/20/2013 
9 
9/18/2013 
13.4 
The Cross Product 
Section 13.4:
#4, 8, 11, 16, 17, 25, 28, 34 
9/20/2013 
10 
9/20/2013 
13.113.4 
Vector Review 
Vector Review
Worksheet Read Sections
14.1 and 14.2. 
9/23/2013 
11 
9/23/2013 
14.1, 14.2 
Partial Derivatives 
Banking
problem from worksheet Section 14.1:
#2, 3, 1113, 16, 20, 22 Section 14.2:
#5, 8, 26, 33, 37, 40, 45 Read Section
14.3. 
9/25/2013 
12 
9/25/2013 
14.3 
Local Linearity 
Section
14.3: # 1, 5, 12, 13, 17, 18 
9/27/2013 
13 
9/27/2013 
Chapters 12 – 14 
Review 
Review
Homework: (Please note that these problems
are a tool to help you study – they are not intended to represent a sample
exam). Turn in two (or more) problems from each section. Chapter 12 Review Exercises: #7, 8,
11, 17, 24, 28, 30, 31, 32 Chapter 14
Review Exercises: #5, 6, 9, 57, 58, 59ab, 6467 
9/30/2013 
9/30/2013 


ODK
I 


14 
10/2/2013 
14.4 
Directional Derivatives 
Section 14.4: #3133, 4548, 55, 63, 68, 77 Read Section 14.4. 
10/4/2013 
15 
10/4/2013 
14.4 
The Gradient 
Section 14.4: #5, 18, 27, 29, 36, 40, 62, 65, 73, 74 Read Section 17.1. 
10/7/2013 
16 
10/7/2013 
17.1 
Parametrized Curves 
Section 17.1: #1, 2, 4, 9, 13, 20, 21, 31, 32 Start Parametric Plots
exercises and project! Read Section 14.6. 
10/9/2013 
17 
10/9/2013 
14.6 
The Chain Rule 
Section 14.6: #2, 12, 15, 17, 18, 29 Implicit Differentiation
Problems 1 and 2 Read Section 14.7. Work on projects! 
10/14/2013 
18 
10/14/2013 
14.7 
SecondOrder Partial Derivatives 
Section 14.7: #7, 8, 22, 23, 26, 27, 37, 40, 44 Worksheet #7. Read Section 14.8. Work on projects! 
10/16/2013 
19 
10/16/2013 
14.8 
Differentiability 
Section 14.8: #610, 12, 14, 16, 20 Plot the functions in Maple to answer
questions 610. Read Section 15.1. Work on projects! 
10/18/2013 
20 
10/18/2013 
15.1 
Local Extrema 
Worksheet question: #7 Section 15.1: #1, 2, 10, 27, 28, 34 Read Section 15.2. Work on projects (due Wednesday,
10/23)! 
10/21/2013 
21 
10/21/2013 
15.2 
Optimization 
Worksheet questions 15 
10/25/2013 
22 
10/23/2013, 10/25/2013 
15.3 
Lagrange Multipliers 
Section 15.3: #5, 18, 25, 28, 32 and 32^{+}, 34 
10/28/2013 
23 
10/28/2013 
Chapters 14 and 15 
Review 
Review
Homework: (Please note that these problems
are a tool to help you study – they are not intended to represent a sample
exam). Turn in two (or more) problems from each section. Chapter 14 Review Exercises: #1, 2, 24, 41, 59, 68, 73, 75, 76, 78 Section 14.6: #2, 10, 16, 27 Section 14.8 : #13, 16 Chapter 15
Review Exercises: #1, 68, 11, 26, 35 Section
15.2: #4 Optimize on (a) the closed disk centered at (0,0)
with radius 2, (b) the triangle (c) the region 
10/30/2013 

10/30/2013 


ODK II 

24 
11/1/2013 
16.1 
The Definite Integral 
Worksheet questions: #24 Section 16.1: #6, 8, 26, 28 
11/4/2013 
25 
11/4/2013 
16.2 
Iterated Integrals 
Section 16.2: # 8, 14, 17, 23, 29, 30, 35, 39, 44, 48, 49 
11/6/2013 
26 
11/6/2013 
16.3 
Triple Integrals 
Section 16.3: #5, 10, 22, 25,
35, 37, 40, 45, 49, Handout: #22, 25 (for #25, use the order dydxdz). In this
assignment, compute at least one triple integral by hand. For the others, you
can set up the triple integral and then compute in Maple. 
11/8/2013 
27 
11/8/2013 
16.2 and 16.3 
Double and Triple Integrals 
Worksheet (Evaluate #5 by hand) 
11/11/2013 
28 
11/11/2013 
16.4 
Double Integrals in Polar Coordinates 
Section 16.4: #46, 9, 14, 17,
21, 23, 26, 28 
11/13/2013 
29 
11/13/2013, 11/15/2013 
16.5 
Integrals in Cylindrical and Spherical Coordinates 
Section 16.5: #26, 8, 1519,
22, 23, 2729, 33, 42 (Due Monday, but
you should be able to get started on problems related to cylindrical
coordinates.) 
11/18/2013 
30 
11/18/2013 
Chapter 16 
Review 
Review
Homework: (Please note that these problems
are a tool to help you study – they are not intended to represent a sample
exam). Turn in two (or more) problems from each section. Section 16.1 # 3, 28 (#31 : If you integrate by hand,
you may find the following useful: . ) 3537, 46, 48, 52, 57, 59, 69 (challenging) 
11/20/2013 
31 
11/20/2013 


ODK III 

32 
11/22/2013, 12/2/2013 
17.1, 17.2 
Parametrized Curves, Motion, Velocity, and Acceleration 
Sec 17.1: #1, 4, 23,
45, 57, 62, 70 Sec 17.2: #6, 10, 14, 17, 18, 20, 21 (plotting
the points would be a good start…), 23, 27, 35, 42, 44 (See length of
curve formula on page 891 for #14 – if you want a good exercise, you can do
#47 to justify the formula). Worksheet: #6 Fun challenge
problem (optional): #37 
12/4/2013 
33 
12/4/2013 
17.3, 17.4 
Vector Fields and Flow 
Section 17.3: # 5  10, 26, 27, 29  31, 33, 34 a vector field: 
12/6/2013 
34 
12/6/2013 
18.1 
The Idea of a Line
Integral 
Section 18.1: #1, 2, 5, 15, 17, 20, 22, 24, 25, 34, 40 Think about: #41, 42 
12/9/2013 
35 
12/9/2013 
18.2 
Computing Line Integrals
Over Parametrized Curves 
Section 18.2: # 1, 4, 12, 16, 20, 29, 30, 35 Worksheet: #3, 4 
12/11/2013 
36 
12/11/2013 
18.3, 18.4 
Gradient Fields and
PathIndependent Fields 
Section 18.3: #4, 8, 13, 22, 23, 25, 35, 36, 38 Section 18.4: #5, 7 
12/13/2013 
.