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 200A, Ext 4-4436,   mkulenovic@mail.uri.edu

Time: MWF 10-10:50   Place: White Hall 204

Office Hours: MWF 11-12

Exams and Grading: There will be two exams, 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 most of 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 Maple.

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."

Web site for text supplement.

 

Illness Due to Flu

The H1N1 Flu Pandemic may impact classes this semester.  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 at 874-4436 or mkulenovic@mail.uri.edu of your status, and we will communicate through the medium we have established for the class.  We will work together to ensure that course instruction and work is completed for the semester.

 

The Centers for Disease Control and Prevention have posted simple methods to avoid transmission of illness.  These include:  covering your mouth and nose with a tissue when coughing or sneezing; frequently washing your hands to protect from germs; avoiding touching your eyes, nose and mouth; and staying home when you are sick.  For more information, please view www.cdc.gov/flu/protect/habits.htm.  URI information on the H1N1 will be posted on the URI website at www.uri.edu/news/H1N1, with links to the www.cdc.gov site.

 

 

Section Homework Problems
Section
Homework Problems
5.1
1,3,6,10
7.1
2,4,7,10,14
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
2,5,7,11,15,16,17
6.1
2,5,8,10,11
7.6
2,5,10,11,14
6.2
2,7,8,10,14,17,23,28,31
7.7
2,5,7,8
6.3
2,3,8,11 8.1
4,5,6,8,11,14
6.4
2,5,6,7,11,16,17
8.2
3,6,7,11,14,16,23,26

Exam 1
8.3
2,3,6,9,14,18,20
    8.4
2,6,12,13,15
    8.5 6,7
    8.6 1,2,4,8
      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