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This is a graduate level course at the Courant Institute of Mathematical Sciences, NYU.
Course information
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Instructor: Maximilian Nitzschner.
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Semester: Fall 2022.
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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 |