MAT 4311 - Real Variables I

Credits: 3 hrs

This course presents the real numbers, least upper bound and greatest lower bound, sequences and series of real numbers, monotone and Cauchy sequences, limit superior and limit inferior, metric spaces, connected, complete and compact metric spaces, continuous functions on metric spaces, sequences and series of functions, and the three famous theorems— Weierstrass Approximation Theorem, Picard Existence Theorem, and the Ascoli-Arzela Theorem. Prerequisite(s): MAT 3317.