MTH 332/532 Spring 2002

Teacher: Thomas P. Svobodny

241 MM 775-2379

Office Hours: 1730 -- 1850 T Th

You don't need an appointment to see me during office hours; but it is safer to make an appointment if you want to see me at other times.

Math Dept Office: 120MM 775 2785

Text: Complex Analysis for Mathematics and Engineering, by Mathews & Howell (there are Mathematica Notebooks associated with the text; you can find them on the CD or at http://math.fullerton.edu/mathews/c2002/content.html

or at http://www.mathsource.com/Content/WhatsNew/0210-676

You can download them one by one, or in a big zipped file).

There are many good texts (most are out of print). Here are a few: Complex Variables, by Fisher; Complex Variables for Scientists and Engineers, by Paliouras & Meadows; Complex Variables, by Spiegel.

Webpage: http://www.math.wright.edu/MS/AppliedMath/mth332.html

Evaluation: Exam 1 15%

Exam 2 25%

Final Exam 35%

Homework, Quizzes, Labs 25%

No make-up exams will be given. Late homework will not be accepted. Anyone who scores 100% on the final will receive an A for the course, regardless of grade to that point.

Prerequisites: You will need a solid background in Calculus. The most important prereq is Mth232 or an intro to Vector Calculus.

Mathematica: Download the notebooks, and get familiar with using Mathematica: you will need to use some of the open lab times – or use Mathematica at home or in other labs on campus.

Course Content: This course is a basic introduction to use of functions of one complex variable. By the end of the course the student should be able to :

• work algebraic and geometric problems involving complex numbers
• represent (graphically and otherwise) functions of a complex variable and the inverse image of a function (solution set)
• understand the connection between line integrals, analytic functions, and harmonic functions
• use Cauchy’s theorem to obtain important properties of analytic functions
• know the three types of singularities
• understand the idea of a conformal mapping and how to use it in applications
• know how to solve boundary value problems in fluid flow and electrostatics*

To do well in this course: Don't read the book without a pencil and paper on hand. Do all of the problems on the homework (without using the book). Do more problems than are on the homework. Find sources of extra problems. Ask questions in class. Make a list of questions before coming to class. If your questions are not answered in class, come to my office hours. Don't hesitate to approach me about something you do not understand. If you did very well in your calculus courses, you should expect to spend about 10 hours a week doing problems outside of class; if you did not do so well, you will need to spend much more time doing problems (without consulting the book).