AMS 503: Applications of Complex Analysis

Fall 2014

Time: Tuesday, Thursday, 2:30 - 3:50

Location: Frey Hall 305

Instructor: Prof. Roman Samulyak
Email:    Phone: 2-8353
Office Hours: Tuesdays & Thursdays, 9:00--10:00
Office: Math Tower 1-108

Course Description

A study of those concepts and techniques in complex function theory that are of interest for their applications. Pertinent material is selected from the following topics: harmonic functions, calculus of residues, conformal mapping, and the argument principle. Application is made to problems in heat conduction, potential theory, fluid dynamics, and feedback systems.

Course syllabus in pdf format

Required Textbook and Resourses

  • S. Lang, Complex Analysis (Graduate Texts in Mathematics), 4th Edition, Springer, ISBN 0-387-98592-1
Course Policy


Homework assignments are due in class typically one week after they are assigned. You are allowed to discuss course materials and homework problems in small groups, but limited to discussion of general ideas only. You must write your solutions completely independently. Under no circumstances may you copy solutions from any source, including but not limited to other students solutions, official solutions distributed in past terms, and solutions from courses taught at other universities. Violation of these rules may result in disciplinary actions.


The midterm and final exams are closed-book.


  • Homework: 30%
  • Midterm exam: 30%
  • Final exam: 40%

University Policy

Americans with Disabilities Act

If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room128, (631) 632-6748. They will determine with you what accommodations, if any, are necessary and appropriate. All information and documentation is confidential.

Academic Integrity

Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at

Critical Incident Management

Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn.