160.301 Real and Complex Analysis (15 credits)

Real analysis: inequalities, the continuum property, induction, sequences, functions and limits, continuity, contraction mappings and fixed points, differentiation, mean value theorems and Taylor's theorem. Complex analysis: geometry in the complex plane, limits and continuity, holomorphic functions, line integrals, Cauchy's theorem and some elementary consequences, singularities and Laurent's theorem, the calculus of residues and some applications.

Requirements

• Prerequisite(s): 160.203
  General Prerequisite: At least 45 credits from 200 level.

Offerings

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