MATH 4180 — Complex Analysis
General Information
A theoretical and rigorous introduction to complex variable theory recommended for students who plan to attend graduate school in mathematics. Topics include complex numbers, differential and integral calculus for functions of a complex variable, including Cauchy's theorem and the calculus of residues, elements of conformal mapping. Students will be expected to be comfortable writing proofs. For applications of complex analysis, consider MATH 4220 rather than MATH 4180.
Full Cornell course description (SP26)
Credits: 4
Prerequisites and Enrollment
Prerequisites: MATH 2230-MATH 2240, MATH 3110, or MATH 4130, or permission of instructor.
Forbidden overlaps: MATH 4180, MATH 4220, MATH 5220
Recorded Offerings
| Semester | Listed instructors | Course details |
|---|---|---|
| Spring 2026 | Camil Muscalu | Roster / syllabus |
Workload and General Advice
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Course information checked against Cornell’s Spring and Fall 2026 rosters on September 18, 2026. The listed semesters are verified examples, not a complete offering history.