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, Hughes-Hallett, Gleason, et al.
Office
Hours (Hayes 309-A)
Monday 2:10-3:00pm
Tuesday
12:10-2:00pm
Thursday
10:10am-12:00pm
Drop-in
Tutoring with Emily at the MSSC
Sunday 9:00-10:00pm
Tuesday
9:00-10:00pm
Thursday
7:00-9:00pm
Math
and Science Skills Center Tutoring (Tomsich 101)
Sunday, Tuesday,
Thursday 7:00-10:00pm
Homework
Lesson |
Date |
Section(s) |
Topic |
Homework |
Due |
1 |
8/30/2013 |
12.1 |
Functions of Two Variables |
Section 12.1:
#2, 3, 5, 7-10, 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, 10-13, 16, 24 (Worksheet
problems 2-4 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:
#4-7, 21-23 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:
#1-6, 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 |
13.1-13.4 |
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, 11-13, 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, 64-67 |
9/30/2013 |
9/30/2013 |
|
|
ODK
I |
|
|
14 |
10/2/2013 |
14.4 |
Directional Derivatives |
Section 14.4: #31-33, 45-48, 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 |
Second-Order 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: #6-10, 12, 14, 16, 20 Plot the functions in Maple to answer
questions 6-10. 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 1-5 |
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, 6-8, 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: #2-4 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: #4-6, 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: #2-6, 8, 15-19,
22, 23, 27-29, 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: . ) 35-37, 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
Path-Independent Fields |
Section 18.3: #4, 8, 13, 22, 23, 25, 35, 36, 38 Section 18.4: #5, 7 |
12/13/2013 |
.