# MTH 437 Advanced Calculus and Applications

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