MATH 4600 Real Analysis

Real and complex number systems, limits and continuity, sequence and series, metric spaces and topology, differentiation and integration of real and vector functions, and Riemann-Stieltjes integrals.

Registration Name

Real Analysis

Lecture Hours

3

Lab Hours

0

Credits

3

Prerequisite

MATH 2300, MATH 2470, and MATH 2470L

Offered

Demorest: Fall even years

Student Learning Outcomes

Upon the completion of this course, students will be able to demonstrate the following outcome-based learning skills:

1. Understand the definitions of analytical concepts (e.g. uniform convergence, Lebesgue integral, and Fourier series).
2. Write proofs of analytic statements.
3. Apply the notions of a metric space and a topological space to the real numbers.