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Hiram College

Calculus III - typical advanced calc topics for first year math students

Case Western Reserve University

Complex Analysis

Ohio State University

H190, H191, & H264 - Very rigorous and ambitiously paced calculus, covering virtually all of Michael Spivak's Calculus and some multivariate calc through R. Creighton Buck's Advanced Calculus.

504 History of Mathematics (using Boyer & Merzbach's A History of Mathematics, Singh's Fermat's Enigma, and Kanigel's The Man Who Knew Infinity)

H520, H521, & (not for credit) H522 - Linear Algebra, Differential Equations, and Complex Analysis (using Hirsch & Smale's Differential Equations, Dynamical Systems, and Linear Algebra and Marsden & Hoffman's Basic Complex Analysis)

H590, H591, & H592 - Abstract Algebra through Galois Theory (using Herstein's Topic's in Algebra and Garling's A course in Galois Theory)

651, 652, & 653 - Introduction to Elementary Analysis. Lebesgue, Stieltjes integration and Fourier Series in gory formal detail. We use Sz.-Nagy's Introduction to Real Functions and Orthogonal Expansions and I use Wilcox & Myer's An Introduction to Lebesgue Integration and Fourier Series

751, 752, & 753 - Advanced Analysis. Introduction to functional analysis, detailed Fourier analysis, and some special topics. Folland's Real Analysis and Dym & McKean's Book.

New York University

Differential Geometry I

Functional Analysis

Limit Theorems I

Algebra I

Limit Theorems II

Partial Differential Equations

Ordinary Differential Equations

Numerical Methods

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