MATH 4460 Complex Variables
This course gives an introduction to the theory of functions of a complex variable, a fundamental and central area of mathematics. It is intended for mathematics majors and well-prepared science majors. Topics covered include: complex numbers and their properties, analytic functions and the Cauchy-Riemann equations, the logarithm and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem and its consequences, power series representation of analytic functions, and the residue theorem and applications to definite integrals. Prerequisites: MATH2202, MATH2210 and MATH2216
Course overview
- Department
- Mathematics
- School
- MCAS
- Credits
- 3
- Level
- Undergraduate
- Offered
- Every Fall, Every Spring
Catalog details
Requirements fulfilled
- Mathematics B.A.: 4000-level Mathematics elective options (Current University Catalog; students should confirm their catalog year)
- Mathematics B.S.: 4000-level Mathematics elective options (Current University Catalog; students should confirm their catalog year)
- Mathematics B.S.: Required mathematics courses (Current University Catalog; students should confirm their catalog year)
- Computer Science B.S.: Upper-level mathematics option (Current University Catalog; students should confirm their catalog year)
Course evaluations
- Course rating
- 3.78 / 5 · Very Good
- Instructor rating
- 4.03 / 5 · Very Good
- Terms evaluated
- 9
| Term | Instructor | Course overall | Instructor overall | Well organized | Clear learning objectives | Intellectually challenging | Helpful assignments | Applicable beyond course | Attendance necessary | Weekly effort | Responses |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Spring 2026 | Dylan Thurston | 3.7 | 4.3 | 4.1 | 4.2 | 4.6 | 4.5 | 4.2 | 4.9 | 4–6 hrs/week | 15 of 18 |
| Fall 2025 | Robert Gross | 3.8 | 4.0 | 3.4 | 3.6 | 4.8 | 4.2 | 4.0 | 4.4 | — | 5 of 5 |
| Spring 2025 | Solomon Friedberg | 4.2 | 4.7 | 4.7 | 4.6 | 4.8 | 4.8 | 4.3 | 4.8 | 4–6 hrs/week | 11 of 16 |
| Fall 2024 | David Treumann | 2.4 | 2.7 | 2.6 | 3.0 | 3.7 | 3.2 | 3.2 | 4.1 | 1–3 hrs/week | 11 of 12 |
| Spring 2024 | David Treumann | 3.8 | 3.8 | 4.1 | 4.2 | 4.3 | 4.3 | 4.1 | 4.1 | — | 18 of 22 |
| Spring 2023 | Yongyi Chen | 3.4 | 3.5 | 3.6 | 3.8 | 4.9 | 4.1 | 4.0 | 4.2 | 10+ hrs/week | 21 of 26 |
| Fall 2022 | Keerthi Madapusi Pera | 3.8 | 4.2 | 4.6 | 4.4 | 4.8 | 4.6 | 4.0 | 4.6 | 4–6 hrs/week | 25 of 28 |
| Spring 2022 | Keerthi Madapusi Pera | 4.5 | 4.7 | 4.7 | 4.7 | 4.9 | 4.9 | 4.2 | 4.5 | 10+ hrs/week | 11 of 26 |
| Fall 2021 | Solomon Friedberg | 4.5 | 4.7 | 4.8 | 4.8 | 4.7 | 4.7 | 4.6 | 4.6 | — | 13 of 20 |
Data freshness
Instructors
Sections
- Section 01
- Section 01