AMATH 401
SLN 1211, MTWF 1:30-2:20, Guggenheim Hall 217
(Prerequisites: MATH 324: recommended: AMATH 351, MATH 307, or MATH 351)

Vector Calculus and Complex Variables



Instructor:

Charles D. Camp
Guggenheim 408 C
tel: 685-9298
fax: 685-1440
cdcamp@amath.washington.edu
office hours: M 5-6, W 11-12

Teaching Assistant:

Jihwan Kim
office: Guggenheim 416
tel: 685-8068
email: jhkim2@u.washington.edu
office hours: T 4-5, Th 2:30-3:30


Course description Textbook Syllabus Schedule and Homework Grading Video References

Course Description

Emphasis on acquisition of solution techniques; ideas illustrated with specific example problems arising in science and engineering. Applications of vector differential calculus, complex variables. Line-surface integrals; integral theorems; Taylor and Laurent series, contour integration.

Textbook

Saff, E. B. and Snider, A. D.,
Fundamentals of Complex Analysis with Applications to Engineering and Science , 3rd ed.,
Prentice Hall, Upper Saddle River, NJ, 2003.
ISBN 0-13-907874-6
Available at the University Bookstore.

Syllabus

Vector Analysis (4 weeks)

Complex Analysis (6 weeks)

Schedule and Homework

Follow links in the table below to obtain a copy of the homework in PostScript (.ps) or Adobe Acrobat (.pdf) format. You may also obtain here solutions to some of the homework and exam problems. An item shown below in plain text is not yet available. For additional information regarding viewing and printing the homework and solution sets, click here.

Assigned Date Due Date Homework Sets Homework Solutions
First day of classes Wed., Sep. 28
Homework #1 Wed., Oct. 5 Wed., Oct. 12 hw1( .ps ,  .pdf ) hw1s( .ps ,  .pdf )
Homework #2 Wed., Oct. 12 Wed., Oct. 19 hw2( .ps ,  .pdf ) hw2s( .ps ,  .pdf )
Homework #3 Wed., Oct. 19 Wed., Oct. 26 hw3( .ps ,  .pdf ) hw3s (v.2) ( .ps ,  .pdf )
Midterm Fri., Oct. 28
Homework #4 Wed., Nov. 2 Wed., Nov. 9 hw4( .ps ,  .pdf ) hw4s( .ps ,  .pdf )
Veteran's Day Friday, Nov. 11 No class
Homework #5 Wed., Nov. 9 Fri., Nov. 18 hw5( .ps ,  .pdf ) hw5s( .ps ,  .pdf )
Homework #6 Wed., Nov. 16 Tue., Nov. 29 hw6( .ps ,  .pdf ) hw6s( .ps ,  .pdf )
Thanksgiving Fri., Nov. 25 No class
Homework #7 Wed., Nov. 23 Mon., Dec. 5 hw7( .ps ,  .pdf ) hw7s( .ps ,  .pdf )
Homework #8 Fri., Dec. 2 Fri., Dec. 9 hw8( .ps ,  .pdf ) hw8s( .ps ,  .pdf )
Last day of classes Fri., Dec. 9
Final Exam Mon., Dec. 12 Gugg. 217 2:30p-4:30p

Grading

There will be 8 homework assignments due in-class. Check the above schedule for due dates. Homeworks constitute 40% of the final grade; the lowest homework score will be dropped. There will be a midterm and a final exam constituting 20% and 40%, respectively, of the final grade.

You may view your homework and exam grades on-line.

Lecture Videos

Streaming videos of the lectures are available from EDGE.
Recent videos may also be viewed at the Odegaard Undergradate Library

Reference Material

Handouts:
1. Vector Identities ( .pdf, .ps )
2. Practice Problems for Line, Surface & Volume Integrals ( .pdf, .ps )
3. Complex Analysis Review: Part 1: Complex functions, Analyticity & Multi-valued Functions ( .pdf, .ps):
4. Complex Analysis Review: Part 2: Integration (not available yet)
5. Complex Analysis Review: Part 3: Power Series, Residue Calculus & Evaluation of Real Integrals ( .pdf, .ps )
6. Sample Contour Integral (very complicated): ( .pdf, .ps )

Reserve Books: (available at Odegaard Undergraduate Library unless otherwise noted).
Vector Analysis:
Davis, H. F. and Snider, A. D., Introduction to Vector Analysis
Schey, H. M., Div, Grad, Curl and All That: An Informal Text on Vector Calculus
Marsden, J.E. and Tromba, A. J., Vector Calculus

Complex Analysis:
Brown, J. W. and Churchill, R. V., Complex Variables and Applications, available at the Math Research Library (Padelford C-306)
Ablowitz, M. J. and Fokas, A. S., Complex Variables: Introduction and Applications
Spiegel, M. R., Schaum's outline of theory and problems of complex variables, available at the Math Research Library (Padelford C-306)

Lecture Notes:
Since there's no assigned text for the vector analysis portion of the class, Mark Kot has graciously let me post last years' lecture notes as an aid for your studies. They are all in the pdf format. No longer available.
Sec. 2 Vector algebra
Sec. 3 Vector functions
Sec. 4 Scalar and vector fields
Sec. 5 Special coordinate systems
Sec. 6 Rate of change of vector fields
Sec. 7 Line integrals
Sec. 8 Surface integrals
Sec. 9 Stokes' theorem
Sec. 10 Volume integrals


<cdcamp@amath.washington.edu> Thu Sep 29 18:35:40 PDT 2005