Advanced Calculus and Applications I
(MTH 437, Fall 2022)

Prerequisite: MTH243 for MTH437, MTH437 for MTH438

Textbooks: Marsden / Tromba, Vector Calculus , 6th edition, plus supplemental handouts.

Course Description: MTH 437 and MTH 438 are intended for a one-year course in the calculus of functions of several variables, vector analysis, and Fourier series. Much of the basic theory as well as many concrete examples will be presented. These two courses have been revised to make them more useful to stdents of applied mathematics, physical science, and engineering. Intuitive understanding and computational skills are important at this level. Besides covering most chapters from text books, extra materials about sequences, series, uniform convergence, Fourier series, Laplace transforms will be provided.
MTH 437 First part of the text book, together with some extra materials beyonds the text.

Brightspace: We use Brightspace through out the semester. I'll post and email announcements, assignments, ... on Brightspace. Make sure you constantly check the course site in Brightspace!

Grading Policy:

Homework:Some suggested homework problems are listed below. You are expected to do all of the problems. The instructor will grade some problems.

Section Homework Problems
 Section
 Homework Problems
1.1
 4,11,13,16,17,21,24,27,32
 3.1
 4,7,13,15,21,25
1.2
 5,11,12,13,17,19,21,26
 3.2
 1,2,8,11
1.3
 5,13,15,16,21,29,31,32,35,36
 3.3
 1,7,13,18,22,25
1.5
 2,5,13
 3.4
 3,6,12,14,16,20,33
2.2
 3,5,9,12,17
 3.5
 1,2,8,9,18
2.3
 2,4,5,9,11,12
 5.1
 3,4,8,10,14
2.4
 2,8,13,17,21
 5.2
 1,3,9,13,17
2.5
 3,7,9,11,15,22
 5.3
 1,4,9,18
2.6
 1,3,7,8,9,17,22
 5.4
 3,4,5,7,8,12

Extra Material
 5.5
 1,6,7,11,16,21,25

Fourier Series/Transforms
 6.4
 2,3,7,8,9





o     Enjoy Math 437 and Enjoy this semester!     o