16:640:501 Theory of Functions of a Real Variable I

Fall 2020

Mariusz Mirek

Subtitle:

Theory of Functions of a Real Variable I

Course Description:

The course will focus on measure theory and integration. Classical results in measure and integration will be derived, and examples and applications will be discussed, as time permits.

Textbook:

G.B. Folland, Real Analysis: Modern Techniques and Their Applications

Prerequisites:

The classical theory of functions of a real variable: limits and continuity, differentiation and (Riemann) integration, infinite series, uniform convergence.