MAT 523/524 : Functions of a Real Variable I, II

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This two-semester course covers material in analysis that every graduate student should know, including the classical theory of functions of a real variable, measure and integration, point set topology, and the theory of normed linear spaces. The first semester concentrates on the topology of the real numbers, Lebesgue measure and the Lebesgue integral. Here, concepts of measurable sets and functions are covered. Also covered are absolute continuity, the Lebesgue spaces, and the classical Banach spaces, basic functional analysis concepts including completeness and compactness.
The second semester MAT524 includes metric spaces, introduction to topological spaces, and general measure and integration theories. Applications of real analysis, such as Wavelet theory, approximation theory, and others are often included depending on the instructor. Prerequisites: MAT 426 or permission.

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Last modified on Tuesday, January 12, 1999