Skip Navigation
search: People | Departments | Penn State | Web
Penn State mark
Penn State mark
University Bulletin
Graduate Degree Programs

Mathematics (MATH)

MATH 501 Real Analysis (3) Legesgue measure theory. Measurable sets and measurable functions. Legesgue integration, convergence theorems. Lp spaces. Decomposition and differentiation of measures. Convolutions. The Fourier transform.

MATH 501 Real Analysis I (3)

This course develops Lebesgue measure and integration theory. This is a centerpiece of modern analysis, providing a key tool in many areas of pure and applied mathematics. The course covers the following topics: Lebesgue measure theory, measurable sets and measurable functions, Lebesgue integration, convergence theorems, Lp spaces, decomposition and differentiation of measures, convolutions, the Fourier transform.

General Education: None
Diversity: None
Bachelor of Arts: None
Effective: Spring 2013
Prerequisite: MATH 404

Note : Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.