MATH 4020
Analytic Function Theory
Lec 01 selected
Topics include: review of analytic complex functions including topological properties of the plane, Mobius mappings, exponential, logarithmic, trigonometric and related functions, integration and the Cauchy theorem. Cauchy's integral formula, residues, harmonic functions, analytic continuation, entire and meromorphic functions, some results of conformal mapping, including the Riemann mapping theorem.
Sections
Lecture
Lec 01
Mon, Wed, Fri 9:35-10:25
From the syllabus
From the Winter 2025 syllabus by Gisel Mattar Marriaga. Winter 2027 is taught by Fraser A., so details may differ. Open the PDF
Grading
40%Homework assignmentsRoughly bi-weekly
25%MidtermTentatively February 13
35%Final exam
Textbook
- Complex Analysis, T. Gamelin
Course rules
- Late work
- Contact the instructor with a legitimate excuse; later submissions or substitutions may be arranged.
- Homework extensions
- Use the Student Declaration of Absence form to request extensions; it may be used as often as needed.
- Missed midterm
- With a valid excuse, students may take the test on a later date.
- Resubmissions
- Students may resubmit work to improve their grade, up to two times per assessment.
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