AMATH 567
SLN 1216, MWF 1:30-2:20, Loew Hall 102
(Prerequisites: AMATH 401 or equivalent)

Methods of Applied Mathematics I



Instructor:

Professor R.E. O'Malley
Guggenheim 408J
tel: 685-1905
fax: 685-1440
omalley@amath.washington.edu
office hours: TBA

TA:

Eleftherios Kirkinis
email: kirkinis@amath.washington.edu





Course Description

Complex variable and associated topics. Branch cuts, series and product expansions. Contour integration, numerical implications. Harmonic functions. Complex potential (and singularities) in physical problems. Conformal mapping; applications and examples. Fourier and Laplace transforms and applications.

Textbook

H.A. Priestley, Introduction to Complex Analysis, Second Edition, Oxford University Press, 2003.

Lecture Notes

Chapter 1 (.ps, .pdf)
Chapter 2 (.ps, .pdf)
Chapter 3 (.ps, .pdf)
Chapter 4 (.ps, .pdf)

Schedule and Homework

Homework and Exams Homework Due Date Homework Problem Sets Homework Solutions
First Day of Classes Wednesday, September 29, 2004
Homework #1 due Friday, October 8, 2004 Problems 3, 5, 6, 8, 10, 13, 15 from Chapter 1 HW #1 Solutions (.ps, .pdf)
Homework #2 due Friday, October 15, 2004 Problems 1,7,9,11,15 from Chapter 7
3,11,15 from Chapter 2
HW #2 Solutions (.ps, .pdf)
Homework #3 due Friday, October 22, 2004 Problems 4,8,10,11 from Chapter 5
2,4.9 from Chapter 6
1,3(i),(ii),(iii) from Chapter 9
HW #3 Solutions (.ps, .pdf)
Homework #4 due Friday, October 29, 2004 Chapter 10, probs. 3,5
Chapter ll, probs. 1,3
Chapter 13, probs. 1,2,3,6,7,9
HW #4 Solutions (.ps, .pdf)
Homework #5 due Friday, November 5, 2004 Chapter 14, 1, 4, 7
Chapter 15, 2, 8, 10, 12
Chapter 16, 2
Chapter 17, 1, 2
HW #5 Solutions (.ps, .pdf)
Midterm Exam Notice day change, now
Thursday, November 11, 2004
in class, closed book, closed notes Grades have now been posted
Homework #6 due Monday, November 22, 2004 Chapter 17: Problems 5,8,10,16,18
Chapter 18: Problems 1,3,4
HW #6 Solutions (.ps, .pdf)
November 26, 2004 No Class Thanksgiving
Homework #7 due Wednesday December 1, 2004 Chapter 18, Probs. 6,8
Chapter 19, Probs. 1a,b, 3, 4
Chapter 20, Probs. 3, 5, 7
HW #7 Solutions (.ps, .pdf)
Homework #8 due Wednesday December 8, 2004 Probs. 13, 18, 20, and 22 in Chapter 20 HW #8 Solutions (.ps, .pdf)
December 10, 2004 Last Class
Final Exam Monday, December 13, 2004,
2:30-4:20pm
in class, closed book, closed notes

Grading

Homework 10%
Midterm 30%
Final 60%

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

<omalley@amath.washington.edu> Thu Jun 24 15:49:23 PDT 2004