Leon Takhtajan

Department of Mathematics
Stony Brook University

office: Math Tower 5-111
phone: (631) 632-8287
e-mail: leon.takhtajan@stonybrook.edu

MAT 536: Complex Analysis I
Spring 2021
Course Syllabus

Course description

The course will cover the basic complex analysis core course description and some additional topics. The lectures and homework assignments will be posted on the detailed weekly schedule. The homework problems will vary from routine to rather challenging. The use of online resources for solving the homework problems is strictly prohibited. The schedule will be regularly updated and it is necessary to check it each week. The grades, solutions of selected homework problems and solutions to the midterm will be posted on the Blackboard.


Tuesday and Thursday 11:30am-12:50pm in Math Tower 4-125, simultaneously broadcast via Zoom and accessed on Blackboard.


Leon Takhtajan

Office hours: W 2:00pm-3:30pm and Th 1:30pm-3:00pm in Math Tower 5-111 and by email appointment via Zoom.


Zhuang Tao

Office: Math Tower 2-114
Office hours: Tu 5:00pm-7:00pm in MLC and F 4:00pm-5:00pm in Math Tower 2-114 and by Zoom.


L Ahlfors, Complex Analysis, 3rd ed., McGraw-Hill Book Company, 2013.

You can also consult many other good textbooks:

and a timeless classic:

E.T. Whittaker and G.N. Watson, A Course of Modern Analysis, Cambridge University Press, 4th ed., 1996 (reprint of 1927 original)


The basics from algebra, real analysis and topology (as in Chapter 3.1 in Ahlfors' book)

Grading Policy

Grades will be computed using the following scheme:

Students are strongly encouraged to attend class regularly and to keep up with the material presented in the lecture and in the assigned reading.


There will be a midterm and a final exam, scheduled as follows:

Information for students with disabilities

If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, 128 ECC Building (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Arrangements should be made early in the semester (before the first exam) so that your needs can be accommodated. All information and documentation of disability is confidential. Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website and search Fire Safety and Evacuation and Disabilities.

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 is required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Technology & Management, Nursing, Social Welfare, Dental Medicine) and School of Medicine are required to follow their school-specific procedures. For more comprehensive information on academic integrity, including categories of academic dishonesty please refer to the academic judiciary website.

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 University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their school-specific procedures. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Schedule, and the Faculty-Employee Handbook.

Face mask policy

Students should be aware that a face mask is required while in the classroom. If a student does not comply, the student will be asked to leave the classroom.If the student does not comply or leave the classroom, we will end the class and the students will be reported to the Office of Student Conduct and Community Standards at communitystandards@stonybrook.edu.

Accomodation for students with hearing and communication impairments

Some students with hearing and communication impairments may need their instructor to wear a clear mask for lip and facial expression purposes. If the student has registered with the Student Accessibility Support Center (SASC) and has requested an accommodation for clear masks, SASC will reach out to the student’s instructors and provide a clear mask for them to wear while teaching and/or interacting with the student. If you have questions, please email sasc@stonybrook.edu or call (631) 632-6748.

Face masks accomodations, modifications, or exemptions

The Student Accessibility Support Center (SASC) works with students who may require academic accommodations. If a student is unable to wear a mask for health reasons, the student should contact SASC at sasc@stonybrook.edu. SASC will work with the student to help identify arrangements to complete in-person courses in an alternate format. If, however, there is an in-person class that cannot be accommodated in an alternate format, a student may be approved by the Medical Director of Student Health Services to wear a modified face mask or no face covering. In this situation, SASC will communicate this information to the faculty member. Approved students will also be provided with a written exemption from the Medical Director of Student Health Services that indicates any modifications or exceptions, which they must carry with them to show faculty if requested. Please note that medical exemptions are rare and are based solely on medical necessity. If a student is exempt from the face mask policy, please consider how to seat students to ensure proper social distancing within a given instructional setting. If you have questions regarding accommodations, please email sasc@stonybrook.edu. For health related concerns in the classroom, please contact Dr. Rachel Bergeson, Medical Director, at rachel.bergeson@stonybrook.edu.

Last updated January 2021