MTH 438 Advanced Calculus and Applications II
Text: Vector Calculus,, Marsden and Tromba, FIFTH EDITION, plus supplemental handouts.
Prerequisites: MTH 437 or MTH 243 and MTH 215
Instructor: M. Kulenovic, Lippitt Hall 202D, Ext 44436, mkulenovic@mail.uri.edu
Time: MWF 12-12:50 Place: Washburn Hall 133
Office Hours: MW 1-2, F:11-12
Exams and Grading: There will be two exams, four quizzes. some homework assignments, and the final exam.
TWO HOUR TESTS: 40 percent 
QUIZZES, AND HOMEWORK: 35 percent
FINAL EXAM: 25 percent
This course will revisit the fundamental ideas of calculus of several variables, at greater depth, and will make connections with other mathematical areas as well as with problems in physics and engineering. The emphasis will be on double and triple integrals, line and surface integrals and their connections. The course will end with Green's Theorem, Stokes' Theorem, and Gauss' Theorem.
We will cover chapters 5 through 8. Problems will be assigned in class with periodic problem sets to be handed in. The problems chosen will generally not be the simple calculations you were asked to do in MTH 243. There will also be some problems to be solved using Mathematica.
The text has an on-line supplement that you can access via the following link. There will be some readings assigned from the "Internet Supplement."
Illness Due to Flu
The nation is experiencing a widespread influenza-like illness. If any of us develop flu-like symptoms, we are being advised to stay home until the fever has subsided for 24 hours. So, if you exhibit such symptoms, please do not come to class. Notify me of your status, and we will communicate through email, at Chris_Lynd@my.uri.edu. We will work together to ensure that your questions regarding the material are answered and that you have a proper amount of time to complete your assignments.
The Centers for Disease Control and Prevention has posted a few simple methods to reduce the transmission of the flu virus. These include: covering your mouth and nose with a tissue when coughing or sneezing; frequent washing or sanitizing of your hands; avoiding touching your eyes, nose, and mouth; and staying home when you are sick. For more information please view www.cdc.gov/flu or flu.gov. The URI Health Services web page, www.health.uri.edu, will carry advice and local updates.
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Section |
Homework Problems |
Section |
Homework Problems |
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5.1 |
1,3,6,10 |
7.1 |
2,4,7,10,14 |
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5.2 |
2,5,8,9,11 |
7.2 |
2,
4, 7,11,14,15,19 |
|
5.3 |
2,5,12,14 |
7.3
|
2,4,5,14,16 |
|
5.4 |
2,3,6,8,10,12,14 |
7.4 |
1,5,7,10,11,14,20 |
|
5.5 |
4,5,7,9,14,23,28 |
7.5 |
2,5,7,11,16,17 |
|
6.1 |
2,5,8,10,11 |
7.6 |
2,5,10,11,14 |
|
6.2 |
2,7,8,10,14,17,28,31 |
7.7 |
2,5,7,8 |
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6.3 |
2,3,8,11
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8.1 |
4,5,6,8,11,14 |
|
6.4 |
2,5,6,7,11,16,17 |
8.2 |
3,6,7,11,14,16,23 |
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Exam
1 |
8.3 |
2,3,6,9,14,18,20 |
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|
|
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8.4 |
2,6,12,13,15 |
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|
|
8.5
|
6,7
|
|
|
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8.6
|
1,2,4,8
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Exam
2 |
Use Maple or Prof.
Kaskosz's 3d Plotter to plot the graph of f(x,y).
Kepler's
Law lecture notes
Components
of acceleration notes
Vector field and flow line plotters. Phase Portrait
plotter