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Texas A&M University

MATH 615 - Introduction to Classical Analysis - Spring 2024

Credits 3. 3 Lecture Hours.

Set-theoretic preliminaries; Cantor-Schröder-Bernstein Theorem; review of sequences; limit inferior and limit superior; infinite products; metric spaces; convergence of functions; Dini's Theorem, Weierstrass Approximation Theorem; Monotone functions; bounded variation; Helly's Selection Theorem; Riemann-Stieltjes integration; Fourier series; Fejer's Theorem; Parseval's Identify; Bernstein's Theorem on absolutely convergent Fourier series.
Prerequisite: MATH 409 or equivalent.


This course is not taught in Spring 2024.