Complex Variables

This is a graduate level course at the Courant Institute of Mathematical Sciences, NYU.

Course information

  • Instructor: Maximilian Nitzschner.
  • Semester: Fall 2022.
  • Outline: Complex numbers, the complex plane; Elementary complex functions, continuity; Holomorphic functions, Cauchy-Riemann equations; Contour integrals, Cauchy-Goursat theorem, Cauchy integral formula; Harmonic functions, maximum principle, Poisson formula; Power series, Taylor's theorem, mapping properties of holomorphic functions; Laurent expansion, residues; Conformal mappings, analytic continuation.

Gradebook

Overall grade: A (3.00/3.00)

Item Grade Letter
Midterm Project 176/180 A
Final Project 24/35 A-
Presentations 29.5/35 A