The theory of calculus with complex numbers, also known as the theory of functions of a complex variable,
is the most original creation of nineteenth century mathematics and has been acclaimed as one of the most
harmonious theories in the abstract sciences.
Complex function theory is not just a simple extension of the real theory to the complex numbers — the
condition of complex differentiability imposes strong requirements, and
complex analytic functions behave much better than their real counterparts.
Besides uncovering their beautiful geometry and remarkable properties, the study of complex analytic functions
illuminates the theory of functions of a real variable, and allows us to solve many real integrals otherwise
beyond the reach of our techniques.
This course is an introduction to complex analysis, intended for students in Mathematics, Physics, and Mathematics and
Engineering. We will focus on a careful development of the theory as well as
some applications to physical problems.
Instructor: Mike Roth 
Office Hours: Wednesdays, 15:30—17:30, Jeff 201 
Textbook: Fundamentals of Complex Analysis, by Edward Saff and Arthur Snider 
Classes (slot 22) 
Mon. 15:30–16:30 
Wed. 14:30–15:30 
Thurs. 16:30–17:30 

All classes are in Jeff 101. 
Grading Scheme


Homework 
30% 
Midterm 
30% 
Final 
40% 
There are twelve homework assignments during the semester.
The lowest two of these twelve grades will be dropped when computing the homework grade for the course.
Important Dates

Midterm Exam 
Oct. 27 
7–9pm 
Macdonald 001 
Final 
Dec. 18 
7–10pm 
Bartlett Gym 