Difference between revisions of "Math 641: Functions of a Real Variable"
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# Measure theory | # Measure theory | ||
| + | #* σ-algebras | ||
| + | #* Measures | ||
| + | #* Measurable spaces | ||
| + | #* Measure spaces | ||
# Integration theory | # Integration theory | ||
| + | #* Abstract measurable mappings | ||
| + | #* Measurable real- and extended-real-valued functions | ||
| + | # Product Measures | ||
# Differentiation and integration | # Differentiation and integration | ||
</div> | </div> | ||
Revision as of 16:38, 13 August 2008
Contents
Catalog Information
Title
Functions of Real and Complex Variables 1.
Credit Hours
3
Prerequisite
Math 542 or instructor's consent
Description
Fundamentals of measure and integration, Borel measures, product measures, L^ spaces, introduction to functional analysis, Radon Nikodym theorem, differentiation theory, Fourier transforms.
Desired Learning Outcomes
Prerequisites
Minimal learning outcomes
- Measure theory
- σ-algebras
- Measures
- Measurable spaces
- Measure spaces
- Integration theory
- Abstract measurable mappings
- Measurable real- and extended-real-valued functions
- Product Measures
- Differentiation and integration
