Mathematics 365 :: Complex Variables :: Spring 2006
Instructor:
Michael Bolt, 292 North Hall,
x6-6719,
mbolt@calvin.edu.
This course is an introduction to the theory and application of functions
of one complex variable.
Applications include using harmonic functions
to solve for the distribution of a steady-state temperature
or electrostatic charge, and to solve for non-viscous fluid flow.
A working knowledge
of complex analysis can be an important part of the education of any
scientist or engineer.
Topics include: Complex numbers, complex functions,
integration and the Cauchy integral formula, power series, residues
and poles, and conformal mapping.
Prerequisite: Mathematics 261 or 232.
Important Dates
There will be three in-class tests on the following days:
- Friday, March 3
Friday, April 7
Monday, May 8
The final exam will be Wednesday, May 17, 9am--12pm.
Homework and Tests
P. Set 01 due Friday, Feb 03: [pdf] :
[soln]
P. Set 02 due Friday, Feb 10: [pdf] :
[soln]
P. Set 03 due Friday, Feb 17: [pdf] :
[soln]
P. Set 04 due Friday, Feb 24: [pdf] :
[soln]
P. Set 05 due Wednesday, March 01: [pdf]
: [soln]
P. Set 06 due Friday, March 10: [pdf]
: [soln]
P. Set 07 due Friday, March 17: [pdf]
: [soln]
P. Set 08 due Friday, March 31: [pdf]
: [soln]
P. Set 09 due Wednesday, April 05: [pdf]
: [soln]
P. Set 10 due Monday, April 17: [pdf]
: [soln]
P. Set 11 due Friday, April 21: [pdf]
: [soln]
P. Set 12 due Friday, April 28: [pdf]
: [soln]
P. Set 13 due Friday, May 05: [pdf]
In-class Handouts & Demonstrations
You can view notebook (.nb) files using the free
program MathReader, available at
http://www.wolfram.com/products/mathreader/.
Additional Links
-
MIT Open Courseware
for the Fall/1999 course "18.04 Complex variables with applications" taught
by Prof. R. Rosales.
- Some Famous Mathematicians:
(from the MacTutor History of Mathematics archive)
-
Writing Mathematics
by E. Berry and J. Lawson. [pdf]
Also at
http://www.trinity.edu/jlawson/teach/writing/writing.pdf
-
Research on Student Notetaking
by D. DeZure, M. Kaplan & M. A. Deerman
[pdf]
Occasional Paper No. 16,
Center for Research on Learning and Teaching,
University of Michigan
[CRLT]