MA3607 Introduction to Real Analysis

The objective of this course is for students to achieve a solid understanding of the basic concepts, analysis, and proofs in advanced calculus, including: limits, sequences, series, continuous functions, uniform convergence and uniform continuity, differentiation, and Riemann integration. This is a mathematics course in the pure sense. Proofs will be emphasized, and the student will learn how to reproduce, understand, create and enjoy mathematical proofs.

Prerequisite

MA1114

Lecture Hours

4

Lab Hours

0

Course Learning Outcomes

Students will gain a solid understanding of the basic concepts, analysis, and proofs in advanced calculus, including:

  • limits
  • sequences
  • series
  • continuous functions
  • uniform convergence
  • uniform continuity
  • differentiation
  • Riemann integration

This is a mathematics course in the pure sense. Proofs will be emphasized, and the student will learn how to reproduce, understand, create and enjoy mathematical proofs.