Math 641: Functions of a Real Variable

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

Minimal learning outcomes

1. Measure theory
   • σ-algebras
   • Measures
   • Measurable spaces
   • Measure spaces
2. Integration theory
   • Abstract measurable mappings
   • Measurable real- and extended-real-valued functions
3. Product Measures
4. Differentiation and integration