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MATH 301 Introduction to Analysis

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 should contact the Math and Statistics Department for an override at MATH@metrostate.edu.
4 Undergraduate credits

Effective December 18, 2005 to present

Meets graduation requirements for

Learning outcomes

General

  • Examine the axiomatic development of the real numbers.
  • Analyze mathematical proofs.
  • Create well-structured and logically correct mathematical proofs.
  • Describe the basic topology of the real numbers.
  • Examine rigorous statements of the calculus, including the theory of limits and differentiation.

Spring 2026

Section Title Instructor books eservices
01 Introduction to Analysis Boldt, Axel Books for MATH-301-01 Spring 2026 Course details for MATH-301-01 Spring 2026