Math 213 Calculus III
Monday, Wednesday, and Friday
11:10am12:00pm
Peirce L09
Textbook
Calculus:
Multivariable, Fifth Edition, by
McCallum, HughesHallett, Gleason, et al.
Office
Hours (Hayes 309A)
Monday 2:103:00pm
Tuesday
11:10am1:00pm
Wednesday
2:103:00pm
Thursday
10:1011:00am
Dropin
Tutoring with Emily at the MSSC
Tuesday 7:009:00pm
Thursday
8:0010:00pm
Math
and Science Skills Center Tutoring (Tomsich 101)
Sunday, Tuesday,
Thursday 7:0010:00
Homework
Lesson 
Date 
Section(s) 
Topic 
Homework 
Due 
1 
1/14/2013 
12.1 
Functions of Two Variables 
Section 12.1:
#2, 5, 79, 12 Read Section
12.1 and 12.2. 
1/16/2013 
2 
1/16/2013 
12.2 
Graphs of Functions of Two Variables 
Section 12.1:
#26, 28 Section 12.2:
#6, 7, 10, 1113, 15 Worksheet: #1 (all examples on
the worksheet are in the book, but it’s a good idea to think through them on
your own since these types of functions will show up a lot). Read Section
12.3. 
1/18/2013 
3 
1/18/2013 
12.3 
Contour Diagrams 
Section 12.3:
#6, 10, 11, 1618, 21, 22ab, 30, 32, 33 Contours Worksheet: #1, 2, 5 Read Section
12.4. 
1/16/2013 
4 
1/21/2013 
12.4 
Linear Functions 
Section 12.4:
#9, 1116, 19, 22, 24, 26, 27 Read Section
12.6. 
1/23/2013 
5 
1/23/2013, 1/25/2013 
12.6 
Limits and Continuity 
Maple Intro
Worksheet (optional) Section 12.6:
#2, 3, 9, 11, 14, 15, 17, 18 Work on
Project 1 (due Wednesday). 
1/28/2013 
6 
1/28/2013 
13.1, 13.2 
Displacement Vectors, Vectors in General 
Project
1
(due Wednesday!) Required: Vector Primer Section 13.1:
#6, 19, 23, 24 Section 13.2:
16, 12 Recommended: Section 13.1:
#2, 13, 14, 18, 30 Section 13.2:
7, 11, 15, 17, 19, 22 Read Sections
13.113.3. 
2/1/2013 
7 
1/30/2013, 2/1/2013 
13.3, 13.4 
Dot Product, Cross Product 
Section 13.3 # 8, 15, 16, 18, 28, 34, 36, 38, 47, 50 Section 13.4 # 4, 8, 11, 16, 17, 25, 28, 34 
2/4/2013 
8 
2/4/2013 
13.113.4 
Vector Review 
Chapter 13 Review Worksheet Read Sections 14.1 and 14.2. 
2/6/2013 
9 
2/6/2013 
14.114.2 
Partial Derivatives 
Section 14.1: #2, 3, 1113, 16, 20, 22 Section 14.2: #8, 34, 35, 37, 40, 45 Banking Problem from worksheet Read Section 14.3. 
2/8/2013 
10 
2/8/2013 
14.3 
Local Linearity and the Differential 
Section 14.3:
# 1, 5, 12, 13, 17, 18 
2/11/2013 
11 
2/13/2013 
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 
2/15/2013 
12 
2/11/2013, 2/18/2013 
14.4 
Gradients and Directional Derivatives 
Section
14.4: #5, 18, 30, 32, 36, 40, 45, 62, 65, 73, 74 Gradient
worksheet: #7,8 Directional
Derivative worksheet Read
Sections 14.4 and 17.1. 
2/20/2013 
13 
2/20/2013 
17.1 
Parametrized Curves 
Parametric
exercises in Maple file on P drive: Class/Math/Smith/Math213Sp13/ParametricPlots. Work
through ParametricPlotsExercises.mw, Then
submit answers using ParametricExercisesAnswers.mw. Project
description is in ParametricPlotsProject.mw. 
Phase
1: 3/1/2013, Phase
2: 3/22/2013 
14 
2/22/2013 
14.6 
The Chain Rule 
Section
14.6: #2, 8, 14, 15, 18, 29 Implicit
Differentiation Problems 1 and 2 Read
Sections 14.6 and 14.7. 
2/25/2013 
15 
2/25/2013 
14.7 
SecondOrder Partial Derivatives 
Section 14.7:
#7, 8, 22, 23, 26, 27, 37, 40, 44 Read
Section 14.8. 
2/27/2013 
16 
2/27/2013 
14.8 
Differentiability 
Section
14.8: #4, 12, 14, 16, 20 Parametric
plots project exercises and start of masterpiece. Read
Section 15.1. 

17 
3/1/2013 
15.1 
Local Extrema 
Worksheet
questions: 6, 7(b) and (c) Section
15.1: 1, 2, 10, 27, 28, 34 Read
Section 15.2. 
3/20/2013 (now 3/22/2013) 
18 
3/18/2013, 3/20/2013, 3/22/2013 
15.1, 15.2 
Optimization 
Project 2 Worksheet
questions 15 Read Section
15.3 
3/22/2013 3/25/2013 
19 
3/25/2013, 3/27/2013 
15.3 
Lagrange Multipliers 
Worksheet
questions (book problems 22, 24, 28), Section
15.3: #32 and 32^{+} 
3/29/2013 
20 
3/29/2013 
16.1 
The Definite Integral of a Function of Two Variables 
Worksheet
questions 24 Section
16.1: #6, 8, 26, 28 
4/1/2013 
21 
4/1/2013 
16.2 
Iterated Integrals 
Section
16.2: # 8, 14, 17, 23, 29, 30, 35, 39, 44, 48, 49 
4/3/2013 




Review Homework:
(Please note that these problems
are a tool to help you study – they are not intended to represent a sample
exam). These problems will not be collected. 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 

22 
4/8/2013 
16.3 
Triple Integrals 
Section 16.3: #5, 6, 10, 23, 35,
37, 40, 45, 49, Handout: #22 
4/10/2013 
23 
4/10/2013 
16.2, 16.3 
Double and Triple Integrals 
Worksheet 
4/12/2013 
24 
4/12/2013 
16.4 
Double Integrals in Polar Coordinates 
Section 16.4: #5, 6, 9, 14, 21,
22, 23, 26, 28, inclass problem 
4/15/2013 




Review
Homework: (Please note that these problems
are a tool to help you study – they are not intended to represent a sample exam). These problems will not be collected. Section 16.1 # 3, 28 , 3537, 46, 48, 52, 57, 59, 69 (challenging) 

25 
4/15/2013, 4/17, 2013 
16.5 
Integrals in Cylindrical and Spherical Coordinates 
Section 16.5: #26, 8, 1519,
2729, 33, 42 
4/19/2013 
26 
4/22/2013 
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, 21 (plotting the points would be a
good start…) We’ll do more with Sec 17.2 next
time. 
4/24/2013 
27 
4/24/2013 
17.2 
Motion, Velocity, and Acceleration 
Sec 17.2: #14, 17,
18, 20, 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). Fun challenge
problem (optional): #37 
4/26/2013 
28 
4/26/2013 
17.3, 17.4 
Vector Fields and Flow Lines 
Section 17.3 # 5  10, 26, 29  31, 33, 34 a vector field: 
4/29/2013 
29 
4/29/2013 
18.1 
The Idea of a Line Integral 
Section 18.1: #1, 2, 5, 15, 17, 20, 22, 34, 40 Think about: #41, 42 
5/1/2013 
30 
5/1/2013 
18.2 
Computing Line Integrals 
Section 18.2 # 1, 4, 12, 16, 20, 29, 30, 35 
5/3/2013 
31 
5/3/2013 
18.3, 18.4 
Gradient Fields and PathIndependent Fields 
Section 18.3 # 4, 8, 13, 22, 23, 25, 35 
5/9/2013 