MAT 460  Vector Calculus
SPRING 2009*


  *Important Note:All items on this syllabus are subject to change.
Any in-class announcement, verbal or written, is considered
official addendum to this syllabus.
GO TO:
General
Course Description
Homework Problems
Related Web Sites
Important Info(HW,Labs&Tests)
Back to Suslov's home page


General

Course:           MAT 460, Vector Calculus
Time:              4:30 - 5:45 pm, TuTh
Location:         PSA 304
Line #:             12441
Instructor:       Dr. Sergei Suslov
Office:             PSA 621
Phone:             965-8987
E-mail:             sks@asu.edu
Office Hours: 3:15– 4:20 pm TuTh or by appointment
Texts:               Advanced Calculus, 5th edition, by  Wilfred Kaplan, Addison Wesley and Pearson Education, Inc 2003 (required);
                          Vector Calculus, 3rd edition, by Jerrold E. Marsden and Antony J. Tromba, W. H. Freeman and Company,
                          New York, 1988 (recommended);
                          Applications of Tensor Analysis, by A. J. McConnel, Dover Publications, Inc., New York, 1957 (recommended).
Prerequisite:   MAT 242 (or 342 or 343), 272, 274 (or 275)
Exams:            There will be two regular in class exams (2*100);
                         homeworks and quizes (100);
                         and a comprehensive final exam (200)
Grading Policy:
                         A-, A, A+ = 90 - 100%
                         B-, B, B+ = 80 - 89%
                         C, C+ = 70 - 79%
                         D = 60 - 69%
                         E = 0 - 59%
Material to be covered: Except for a few sections, chapters 1-6 will be covered
Make-up policy: No make-up exams will be given without notification.
                            Also, no late homework will be accepted for grading.



Course Description

Vectors, curvilinear coordinates, Jacobians, implicit function theorem, line and surface integrals, Green's, Stokes', and divergence theorems. Not open to students with credit in MAT 372. Prerequisites: MAT 242 (or 342 or 343), 272, 274 (or 275).  


Suggested MAT 460 Homework Problems

Section                 Problems

1.1-1.5                   pp.  15-17; # 2 (a)-(f), # 6 (a)-(c), # 10 (a)-(f), # 12 (a)-(d)
1.6-1.8                   pp.  25-26; # 2 (a)-(b), # 5 (a)-(d), ## 6-7
1.9                         pp.  30-31; # 4 (a)-(b), # 7 (a)-(c)
1.13                       pp.  44-46; # 5 (a)-(d), # 8 (a)-(c) 


2.4                        pp.  82-83; # 4 (a)-(d)*, # 6 (a)-(d), 7*
2.5-2.6                  pp.  89-90; # 1 (a)-(e)*, # 3 (a)-(d)*, #4(a)-(d)*,(f)
2.7                        pp.  95-96;  # 1 (a)-(e)*, # 3 (a)-(c)*
2.8                        pp.  100-101;  # 1*, # 3 *, 7*, 9,11
2.9                        pp.  104-105;  # 2*(a)-(b)
2.10                      pp.  116-118;  # 1(a)-(d)*,  #3(a)-(b)*, #5
2.12                      pp.  121-122;  # 1(a)-(d)*, #2, #3(a)-(b)*, #4, 7
2.14                      pp.  134-135;  # 1(a), (e)*,  #2(b)
2.15-2.17             
pp.  142-145;  # 1(a)-(c)*,  #2(a)-(b)*, #5(a)*, #10
 

3.1-3.3                  pp.  180-181;  # 1(a)-(c)*,  #4*, #5*, #8*
3.4-3.6                  pp.  185-187;  # 11(a)-(d)*,  #12(a)-(c)*

4.1                        pp.  219-220;  # 1(a)-(d)*,  #2(a)-(c)*, #3(a)-(d)*
4.3-4.5                  pp.  234-236;  # 1(a)-(c)*,  #4(b)*, #10(a)-(b)*
4.6                        pp.  241-242;  # 1(d),  #4(a)-(b)*, #7(a)-(b)*

5.1-5.3                 
pp.  278-280;  # 3(a)-(b)*
5.5                        pp.  286-287;  # 1(a)-(b)*,  #5(a)-(c)*
5.10                      pp.  313-314;  # 7(a)-(b)*,  #8(a)-(c)*
5.11                      pp.  319-321;  # 1(a)-(b)*,  #2(a)-(c)*                  

*homework problem to review



Related Web Sites:

Department of Mathematics, Arizona State University
History of Mathematics Archive


IMPORTANT INFO:

Homework
HW#1, sections 1.1-1.5, 1.6-1.9, 1.13 due to Feb 5
HW#2, sections 2.4 - 2.6 due to Feb 24 
HW#3, sections 2.7 - 2.10 and 2.12, 2.14-2.17  due to March 24 
HW#4, sections 3.1 - 3.6  due to April 7
HW#5, sections 4.1, 4.3 -4.6,  5.1-5.3, 5.5, 5.10-5.11 due to April 30 

Tests
Test#1, Tuesday, March 24
Test Review Thursday, March 19
Topics: Vectors and Matrices, Functions of Several Variables, The Total Differential, The Jacobian Matrix, Chain Rule, Partial Derivatives, Implicit Functions, The Directional Derivative.
Test#2, Thursday, April 30
Topics: Gradient, Divergence and Curl, Line and Surface Integrals, Green's Formula, Stokes Theorem and Divergence Theorem of Gauss
Problems to review: see homework problems with * above

Quizes
Quiz#1, Thursday, February 5
Sections1.1-1.5, 1.6-1.9, 1.13 are on the quiz.
Quiz#2, Tuesday, February 24
Sections 2.4-2.6 are on the quiz. Topics: Limit of the function of several variables, partial derivatives and total differential.
Quiz#3, Tuesday, March 17
Sections 2.4-2.6, 2.7-2.9, 2.14-2.17 are on the quiz.
Topics: The Jacobian matrix, Chain Rule, Partial Derivatives. 
Take home quiz: quiz#3
Quiz#4, Tuesday, April 9
Sections 3.1-3.6 are on the quiz.
Topics: Gradient, Divergence and Curl. 
Quiz#5, Tuesday, April 28
Topics: Line and Surface Integrals. Green's Formula, Stokes Theorem and Divergence Theorem of Gauss
Take home quiz: quiz#5

Final Exam:  Tuesday, May 12, 2:30-4:20 pm
Reviews:
 Tuesday, May 5, Wednesday, May 6, 4:30 pm, regular classroom

HAVE A NICE SEMESTER!