Complex Analysis
Mathematics · 3 hrs Lecture
Offered: Every Year
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MATH-4101 prerequisites
10 courses appear in this chain, up to 6 levels deep. Every route through it involves a choice, so nothing is forced. Unless you get permission, 3 more are needed: MATH-1201 → MATH-2105 → MATH-2106.
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any one of
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Where MATH-4101 counts
Counts toward 4 more as one option among several, not as a course you must take:
Read from the departments' own calendar pages, where 50 of 208 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.
From the 2026-27 undergraduate calendar. Always verify details on WebAdvisor or with an academic advisor before registering.