Math 234 Functions of
Several Variables, Summer 2009
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LEC |
10:20-11:35 |
MTWR |
B115
VAN VLECK
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|
DISC 301 |
1:10-2:00 pm |
MW |
B329 VAN VLECK |
|
DISC 302 |
1:10-2:00 pm |
TR |
B329 VAN VLECK |
Announcement: For our third and final exam (Thursday August 6th),
you should do the following revision problems:
Chapter 16 Practice Exercises (p. 1223): 1-39 (odd), 49-49 (odd)
Chapter 16 Advanced Exercises (p. 1226): 3, 7, 9, 21
Lecturer: Wafik Boulos Lotfallah
E-mail: lotfalla@math.wisc.edu
Office: B127
Van Vleck, Tel: 263-1541
Office Hours:
11:45-12:30 MTWR and by appointment.
Weblink: http://www.math.wisc.edu/~lotfalla/math234.htm
TA:
Marc Hildebrant Conrad
E-mail: conrad@math.wisc.edu
Office: 716
Van Vleck, Tel: 263-2492
Office Hours:
TBA
Mailbox: On
the 2nd floor of Van Vleck.
Weblink: http://www.math.wisc.edu/~conrad/09summer/234.html
1. A brief review of vector valued functions.
2. (Partial) derivatives of functions of several
variables, and applications.
3. (Multiple) integration of functions of several
variables, and applications.
4. Calculus of vector fields (functions from R3
to R3), and applications.
Textbook:
Thomas Calculus 11th Edition, Addison Wesley, Non-ET version,
including differential equations. ISBN: 032149069X.
This is probably the
same text you used for Math 221 and 222.
There are also many supplementary books available to help you, if you
want something more. Some people get copies of the solutions book showing
worked out answers to odd-numbered problems. This can be helpful if you consult
it after you have worked a problem, to see how valid your process was, but can
be quite harmful if you use it to find out how to do the problems.
Prerequisites: Math 222. If it has been a while since you took that
(or an equivalent) course, this is what you will need to look at before the
class starts. Even if your preparation is adequate, it will not hurt to browse
through these topics in the text to make sure you are OK with them.
§
Chapters 1-6
(Calculus of One Variable): Pretty much everything.
§
Chapter 7
(Transcendental Functions): The more the better.
§
Chapter 8
(Integration Techniques): All except 8.6 and 8.7.
§
Sections 10.5,
10.6 (Polar Coordinates): We will quickly review them.
§
Chapter 12
(Vectors in Space): Very crucial.
§
Chapter 13
(Vector Valued Functions): We will start covering it.
Calculator Policy: You are not required to have a calculator. However, a
scientific calculator might be helpful, if you are used to using it. Some of
the assigned problems require you to do a significant amount of arithmetic. On
exams you will be allowed to use non-programmable calculators, but the
questions will be designed to be fair to those not using calculators. Also, you
will be allowed to have one two sided A4 formula sheet.
Theory and Problem
Solution: While the main goal of this
class is the ability to understand and solve problems using the tools of
calculus, a theoretical base is also needed.
Contacting you: I will sometimes send e-mail messages to the class:
Make sure your e-mail address is correctly entered through EASI. The university
maintains the e-mail list based on your email address on record with the
registrar.
Exams and Grading: The course is divided into three disjoint parts, each
ends with an exam done in class. Makeup exams will not be allowed. The exam
schedule is:
§
Exam 1: Tuesday,
June 30 (100 pts)
§
Exam 2: Tuesday,
July 21 (100 pts)
§
Exam 3: Thursday,
August 6 (100 pts)
Additional (100 pts) will be on your weekly
homework assignment.
Math
234: Schedule & Assigned Problems
Homework Assignments: The assignments are given below. Note that almost all
problems are odd-numbered, so you can compare your answers with the ones given
at the end of the textbook. Copied solutions can easily be discovered and will
earn no credits. The assignment of each week will be collected in the second
tutorial (Wed. or Thurs.) of the following week.
Day
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Section
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Page
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Assigned Problems
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M 6/15 |
13.1 |
916 |
1,3,5,7,9,21,23,27,31,33,38,39,43,45; |
|
T 6/16 |
13.3 13.4 |
935 942 |
1,3,5,9,11,15,17 1,3,5,9,11,17,19 |
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W 6/17 |
13.5 |
949 |
1,3,9,15,19,25,26,27 |
|
R 6/18 |
13.6 |
958 |
14 Project: The 2nd
and 3rd Kepler’s Laws |
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|
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M 6/22 |
14.1 |
973 |
1,5,7,9,11,13-18,19,21,23,25,27,29,33,39,45 |
|
T 6/23 |
14.2 |
982 |
1,9,13,19,27,29,35,37,43,51,53,59,61 |
|
W 6/24 |
14.3 |
994 |
1,5,11,17,21,25,41,43,45,51,52,69,75 |
|
R 6/25 |
14.4 |
1003 |
1,7,9,11,13,15,17,19,25,29,40,41,43,45,47,49 |
|
|
|
|
|
|
M 6/29 |
Review |
& |
Catch up |
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T 6/30 |
Exam 1 |
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Covering 13.1,..,14.4 |
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W 7/1 |
14.5 |
1013 |
3,5,7,9,13,17,21,23,27,29,36 |
|
R 7/2 |
14.6 |
1024 |
1,3,5,13,17,19,25,27,47,49,54 |
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|
|
|
|
|
M 7/6 |
14.7 |
1034 |
1,5,17,25,31,35,39,44,45,49,51 |
|
T 7/7 |
14.8 |
1047 |
1,3,5,7,9,11,13,17,21,25,43,44 |
|
W 7/8 |
14.10 |
1058 |
1,3,5,7,9,11 |
|
R 7/9 |
15.1 |
1079 |
1,5,9,13,21,29,31,33,41,43,47,53,61 |
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Day
|
Section
|
Page
|
Assigned Problems
|
|
M 7/13 |
15.2 |
1089 |
3,7,13,15,17,21,25,27,29,33,35,44 |
|
T 7/14 |
15.3 |
1097 |
1,3,9,15,17,19,22,25,27,29,33,37,39 |
|
W 7/15 |
15.4 15.5 |
1106 1112 |
3,5,7,11,17,21,25,27,29,31,41,47; 3,5,7,9,13,15,17 |
|
R 7/16 |
15.6 |
1124 |
1,7,11,13,15,17,21,31,33,39,41,51,53,55,59 |
|
|
|
|
|
|
M 7/20 |
Review |
& |
Catch up |
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T 7/21 |
Exam 2 |
|
Covering 14.5,..,15.6 |
|
W 7/22 |
16.1 |
1147 |
1-8,
9,11,13,15,17,21,25,27,31 |
|
R 7/23 |
16.2 |
1158 |
1,3,5,7,13,15,17,19,21,23,27,41,44,45 |
|
|
|
|
|
|
M 7/27 |
16.3 |
1168 |
1,3,6,7,9,13,17,19,22,31,33,35,37,38 |
|
T 7/28 |
16.4 |
1179 |
5,9,13,15,17,19,23,25,27,29,33,34,35 |
|
W 7/29 |
16.5 |
1190 |
1,3,5,7,9,13,15,17,19,25,26,27,31,39,41 |
|
R 7/30 |
16.6 |
1199 |
1,3,5,7,11,13,17,19,26,27,29,53,55 |
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|
|
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|
M 8/3 |
16.7 |
1209 |
1,3,5,7,9,11,19,21,23,25,26 |
|
T 8/4 |
16.8 |
1220 |
1,3,5,7,11,13,17,19,21,25,27,29 |
|
W 8/5 |
Review
|
& |
Catch up |
|
R 8/6 |
Exam 3
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|
Covering 16.1,..,16.8 |
Help Resources: List of all math help resources on campus is at:
http://www.math.wisc.edu/~tprogram/mathhelp.html