Syllabus

Topics. Analytic functions; elementary functions and their properties. Line integrals; the Cauchy integral formula. Power series; residues; poles. Conformal mapping and applications.

Time. Classes meet Tuesdays and Thursdays, 2:30 pm to 4:00 pm, in Cupples I, room 111.

Prerequisites. Math 318, Math 308, or ESE 317 or permission of instructor.

Text. The lectures will follow the book Invitation to Complex Analysis by Ralph P. Boas, first edition, published by Random House/Birkhaeuser, ISBN 0-394-35076-6 (1987).

NOTE: this book is out of print, but is available in Olin Library, the Mathematics Library in Cupples I, and from various used book dealers.

Homework. You are encouraged to collaborate on homework, and to work additional exercises from the relevant problem sections, although the homework grade will be based only on the exercises listed below. Please return your solutions to the instructor by the end of class. Problem sets will be assigned as follows:

HW #1, due Thu, Sep 8 (Solutions) HW #2, due Thu, Sep 15 (Solutions) HW #3, due Thu, Sep 22 (Solutions) HW #4, due Thu, Sep 29 (problems 1,2,3,4) and Tue, Oct 4 (problems 5,6) (Solutions) HW #5, due Thu, Oct 6 (Solutions) HW #6, due Thu, Oct 13 (Solutions)	HW #7, due Thu, Oct 27 (Solutions) HW #8, due Thu, Nov 3 (Solutions) HW #9, due Thu, Nov 10 (Solutions) HW #10, due Thu, Nov 17 (Solutions) HW #11, due Thu, Dec 1 (Solutions) HW #12, due Thu, Dec 8 (Solutions)

Solutions are due at the end of class on the due date. Late homework will not be accepted.

Tests. Midterm examination: Thursday, October 20th, in class. Cumulative Final Examination: Thursday December 22nd, 2005 from 3:30 PM - 5:30 PM, in the classroom.

Grading. One grade will be assigned for homework, one for the combined midterm examinations, and one for the final examination. These three will contribute in the following proportions to the course grade: HW 50%, MT 20%, FE 30%. Letter grades, computed from the course score, will be at least the following:

Office Hours. See the instructor in Cupples I, room 105a, on Tuesdays after class (4-5pm), or make an appointment by telephone or email.