MAT354H1: Complex Analysis I

Hours

36L

Complex numbers, the complex plane and Riemann sphere, Möbius transformations, elementary functions and their mapping properties, conformal mapping, holomorphic functions, Cauchy's theorem and integral formula. Taylor and Laurent series, maximum modulus principle, Schwarz' lemma, residue theorem and residue calculus.


Note: Students may take MAT354H1 after they complete MAT334H1, however, in this case, MAT334H1 will count as 'extra'; it will not count as credit towards program requirements.

Prerequisite
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)