MATH 541
Real Analysis
Mathematics
College of Physical and Mathematical Sciences
Course Description
An introduction to abstract measure and Lebesgue integration theory.
When Taught
Fall
Grade Rule
Grade Rule 8: A, B, C, D, E, I (Standard grade rule)
Min
3
Fixed
3
Fixed
3
Fixed
0
Other Prerequisites
Math 341; Math 314 or Math 342; or equivalents.
Title
Overview
Learning Outcome
Lebesgue measure on Rn
Lebesgue integration on Rn
Fubini's Theorem for Rn
L1, L2, and L∞
Fourier transform on Rn
Title
Learning Outcomes
Learning Outcome
Students should understand the topics outlined in the minimal learning outcomes on the Math 541 Wiki page. As evidence of that understanding, students should be able to demonstrate mastery of all relevant vocabulary, familiarity with common examples and counterexamples, knowledge of the content of the major theorems, understanding of the ideas in their proofs, and ability to make direct application of those results to related problems.
