MA
513
Analysis: Real and Complex
4 cr.
(4-0-0)
- Graded: A/F
- Prerequisites: Graduate student in mathematics or instructor permission.
- Bulletin Year: 2022 - 2023 Graduate Bulletin
This is an advanced course covering a selection of topics from real analysis and complex analysis. The instructor will cover the following topics from real analysis: measurable sets and functions, the Lebesgue Integral, Fourier series, Hilbert spaces, and the Fourier transform. Then the instructor will cover the following topics from complex analysis: holomorphic functions, the Cauchy-Riemann equations, the Cauchy-Goursat theorem,Taylor and Laurent series, and the residue theorem. Additionally, the instructor may focus on topics from real and complex analysis such as: Lp spaces, analytic continuation, the Mellin transform, or the Laplace transform.