MATH 301

Introduction to Analysis

4 Undergraduate credits
Effective December 18, 2005 – Present

Graduation requirements this course fulfills

This is an introductory course in real analysis. Starting with a rigorous look at the laws of logic and how these laws are used in structuring mathematical arguments, this course develops the topological structure of real numbers. Topics include limits, sequences, series and continuity. The main goal of the course is to teach students how to read and write mathematical proofs.

Prerequisites

Special information

Note: Students whose prerequisites are not identified by the system would contact the Math and Statistics Department for an override at MATH@metrostate.edu. First day attendance required except by instructor permission.

Learning outcomes

General

  • Understand the axiomatic development of number sets.
  • Understand the logical construct of a mathematical proof.
  • Understand and utilize the basic topology of the real numbers.
  • Understand the rigorous development of the calculus, including the theory of limits and differentiation, and the Mean Value Theorem