MA 42500/52500 (Spring 2026, \(\S\)001)\({}^\dagger\)

\(\dagger\) - This is the webpage for Section 001 of an uncoordinated course, MA 42500/52500. This means that policies, homework, and exams for this course are decided by each section instructor individually. In particular, information on this webpage typically applies only to \(\S\)001.

Instructor

Anurag Sahay

Email: anuragsahay@purdue.edu
Office: MATH 402
Lecture: TTh, 4:30 PM to 5:45 PM in SCHM 313
Office Hours: TTh, 2:30 PM to 4:00 PM (or by appointment) in MATH 402.

Grader

Vinit Sinha

Textbook

The textbook for the course is Complex Variables (2nd Edition) by Stephen D. Fisher.

This book is available via Purdue's library system as an e-copy; please see this link for details on how to access it. You are not required to purchase the book or a MyLab subscription for this course.

There are many good introductory books in complex analysis that you may choose to consult if you want a wider perspective than Fisher provides. A classic text is Complex Analysis by Lars Ahlfors. A more recent textbook that I recommend is Complex Analysis by Elias M. Stein and Rami Shakarchi.

Course Description

Syllabus

MA 42500/52500 is an introduction to the theory of analytic functions, i.e., the holomorphic functions of a single complex variable. Analytic functions arise in many areas of mathematics, science, and engineering and have strong structural features which leads to a pleasingly complete theory. This course will provide the student a firm basis for the use of complex analysis.

Credit Hours: 3.00. Topics include complex numbers and complex-valued functions; differentiation of complex functions; power series, uniform convergence; integration, contour integrals; elementary conformal mapping.

Prerequisites

Any of Undergraduate level MA 26200, MA 26500, MA 30300, MA 35100, MA 35301 with a Minimum Grade of C-.

Accommodations for Students with Disabilities

Purdue University strives to make learning experiences accessible to all participants. If you anticipate or experience physical or academic barriers based on disability, you are encouraged to contact the Disability Resource Center at: drc@purdue.edu or by phone: 765-494-1247, as soon as possible.

If the Disability Resource Center (DRC) has determined reasonable accommodations that you would like to utilize in this class, you must send your Course Accommodation Letter to the instructor. Instructions on sharing your Course Accommodation Letter can be found by visiting: https://www.purdue.edu/drc/students/course-accommodation-letter.php. Additionally, you are strongly encouraged to contact the instructor as soon as possible to discuss implementation of your accommodations.