Advanced Calculus and Applications II
(MTH 438, Spring 2023)

Prerequisite: MTH 437 for MTH 438 or permission from instructor.

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 438 covers chapters 4,6,7,8 from 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, ... in Brightspace. Make sure you visit the course site often !

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
1.4
 1,3,4,6,8,10,11,12
 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
 4.4
 2,4,10,11,14,19,22,25,30
6.3
 2,3,8,11
 8.1
 4,5,6,8,11,14
4.1
 7,8,11,18,20
 8.2
 2,3,6,9,14,18,20
4.2
 2,7,12,14,15
 8.3
 2,3,6,9,14,18,20
4.3
 7,14,18,20
 8.4
 2,6,12,13,15
7.1
 2,4,7,10,14
 8.5*
6,7
7.2
 2,4,7,11,14,15,19
 8.6*
1,2,4,8
7.3
 2,4,5,14,16
Final Exam May 5,8-10
7.4
 1,5,7,10,11,14,20


Mid-Term Exam
* = time permitting

o     Enjoy Math 438 and Enjoy this semester!     o