MATH-41013 credit hours

Complex Analysis

Mathematics · 3 hrs Lecture

Offered: Every Year

The calendar doesn't say which term this runs in. The sections below show the terms it actually runs in this year.

MATH-4101 prerequisites

4 courses appear in this chain, up to 4 levels deep. Every route through it involves a choice, so nothing is forced.

Show the chain

any one of

MATH-2106Intermediate Calculus II

all of

MATH-2105Intermediate Calculus I

all of

any one of

A minimum grade of C in MATH-1101

in MATH-1104

any one of

MATH-1201Linear Algebra I

any one of

Pre-Calculus Mathematics 40S

Applied Mathematics 40S

MATH-0042Mathematics Access II

any one of

A minimum grade of 65% in Pre-Calculus 30S

a minimum grade of C+ in MATH-0041

permission of the Department Chair

the former MATH-2201

MATH-1201Linear Algebra I

Its prerequisites are shown above.

permission of the instructor

Add your completed courses to see which of these you've already done and what you could take next. They stay on this device.

Where MATH-4101 counts

Required by 2 programs:

  • MATH 4-YEAR BA/BSc IN MATHEMATICS
  • MATH HONOURS BSc IN MATHEMATICS

Counts toward 3 more as one option among several, not as a course you must take:

  • MATH 3-YEAR BA/BSc IN MATHEMATICS
  • MATH MINOR IN MATHEMATICS
  • MATH TEACHABLE MINOR IN MATHEMATICS

Read from the departments' own calendar pages, where 71 of 141 programs are only partly machine-readable, so treat these as a minimum rather than the full list. Confirm with an academic advisor.

Description

This course studies construction of the complex numbers from the reals, Cauchy's theorems, Laurent Series, evaluating line integrals by means of residues, Cauchy-Riemann equations, conformal mapping, harmonic functions, Riemann sphere, Riemann surfaces, analytic continuation and monodromy theorem.

Requisite courses

MATH-2106 or permission of the instructor [prerequisite(s)].

Restrictions

Honours Form Required. Students may not hold credit for this course and MATH-3102.

Lecture

From the 2026-27 undergraduate calendar. Always verify details on WebAdvisor or with an academic advisor before registering.