MATH 4180

MATH 4180

Course information provided by the 2025-2026 Catalog.

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.


Prerequisites MATH 2230-MATH 2240, MATH 3110, or MATH 4130, or permission of instructor.

Forbidden Overlaps MATH 4180, MATH 4220, MATH 5220

Distribution Requirements (SMR-AS)

Last 4 Terms Offered 2025SP, 2024SP, 2023SP, 2022SP

View Enrollment Information

Syllabi: none
  •   Regular Academic Session.  Choose one lecture and one project.

  • 4 Credits Stdnt Opt

  •  8755 MATH 4180   LEC 001

    • TR
    • Jan 20 - May 5, 2026
    • Muscalu, C

  • Instruction Mode: In Person

  •  8756 MATH 4180   PRJ 601

    • Jan 20 - May 5, 2026
    • Muscalu, C

  • Instruction Mode: In Person