**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