Complex Analysis

University credit, 12 assignments, 2 exams, $684 tuition, $75 administration fee, Prerequisites: see below. This is course U600-623.

Elementary functions of a complex variables and their mapping properties,
series, comlpex integrals, calculus of residues, conformal mappings and their
applications, Poisson integral formula.

Prerequisite: Standard three-semester sequence in calculus and analytic geometry; one semester of advanced calculus or one semester of advanced mathematics for engineers and physicists. Before registering, please use this link to contact the Director of Mathematics.

Course Materials

• Complex Variables and Applications, 7th ed., Ruel V. Churchill and James Ward Brown. McGraw Hill, NY, 2004 ISBN 13 9780072872521. Click here to search for available copies. Note: The text is published in a hardcover edition for sale in the U.S., and a much cheaper softcover edition for the Asian market. The content is identical, and both versions are readily available on the secondary market.
• Student Handbook, available at learn.wisconsin.edu/il/studenthandbook/studenthandbook.pdf, or on paper by request to Learner Services, toll-free 1-877-UW-LEARN (877-895-3276)

Format of Course

The course consists of 12 lessons and 2 exams. Each lesson consists of several text sections and a written assignment consisting of problems from the text. These lessons are submitted to the Independent Learning program for grading and feedback by the instructor.

There will be proctored midterm and final examinations, together worth 30% of the course grade. The instructor will be available for e-mail queries about any part of the course content. A substantial degree of self-motivation for independent study is required for a course at this level, since extensive study notes are not available. You may wish to consult other texts and/or mathematical reference books.

Grading

Score	Letter Grade
NOTE: The grading scale was revised on Nov 13, 2003. This grading scale applies to all students who complete the course after that date.
93-100	A
90-92	AB
83-89	B
80-82	BC
73-79	C
65-72	D
0-64	F

Each lesson and each exam is graded on a 100-point scale. The final score is computed as a weighted average, with the average of the lessons counting for 70%, and the average of the exams counting 30%. The exam average must be at least 40 for a passing grade. Assuming this is the case, the average of all your work is converted to a letter grade as shown in the table.

A detailed list of assignments is available in PDF form.