Text: Vector Calculus,, Marsden and Tromba, FIFTH EDITION or SIXTH EDITION plus supplemental handouts.
Prerequisites: MTH 243 and MTH 215
Instructor: M. Kulenovic, Lippitt Hall 202D, Ext 4-4436, mkulenovic@mail.uri.edu
Time: MWF 2-2:50
Place: Bliss 205
Exams and Grading: There will be two exams, some homework assignments, and the final exam.
TWO HOUR TESTS: 40 percent
QUIZZES, AND HOMEWORK: 40 percent
FINAL EXAM: 20 percent
This course will revisit the fundamental ideas of calculus, especially calculus of several variables, at greater depth, and will make connections with other mathematical areas as well as with problems in physics and engineering.
We will cover most of chapters 1 through 4 during the first semester, with Chapter 1 mainly a review. 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.
| Section | Homework Problems
for Fifth Edition |
Section |
Homework Problems
for Fifth Edition |
| 1.1 |
11,14,18,20,22,29,30 |
3.1 |
4,7,9,11,19, 21, 23, |
| 1.2 |
5,14,18,21,24 |
3.2 |
3, 5 |
| 1.3 |
6,18,21,25,29,36 |
3.3 |
2,4,13,18,21, 25,29,36,42 |
| 1.5 |
2,8,10,12 |
3.4 |
2,4,7,10,18,23,28,31 |
| 2.2 |
5,7,9,16 |
3.5 |
1,2,6, 7,12 |
| 2.3 |
2,4,7,8,11,16 |
4.1 |
7,8,11,18,20 |
| 2.4 |
2,7,8,16 |
4.2 |
2,7,12,14,15 |
| 2.5 |
3,4,9,18,19,20,28 |
4.3 |
7,14,18,20 |
| 2.6 |
1,5,15,16,20,22, |
4.4 |
2,4,10,11,14,19,22,25,30 |
| Exam 1 |
Exam 2 |
||
Use Prof.
Kaskosz's 3d Plotter
to plot the graph of f(x,y).
Maple worksheet for multivariate
Taylor's
formula of order 2
Kepler's Law lecture notes
Components of acceleration notes
Vector field and flow line
plotters. Phase
Portrait plotter