Metric and Topological Spaces

Undergraduate | 2026

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Area/Catalogue
MATH X311
Course ID icon
Course ID
207624
Level of study
Level of study
Undergraduate
Unit value icon
Unit value
6
Course level icon
Course level
3
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Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
Yes
University-wide elective icon
University-wide elective course
Yes
Single course enrollment
Single course enrolment
Yes
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Note:
Course data is interim and subject to change

Course overview

The course is an introduction to topology and develops the basic theory and applications of metric spaces and topological spaces. Such spaces occur throughout mathematics; important examples will be studied throughout the course.

  • Metric Spaces
  • Contractions And Compactness
  • Topological Spaces

Course learning outcomes

  • Demonstrate an understanding of the concepts of metric spaces and topological spaces and familiarity with a range of examples of these structures
  • Prove basic results about completeness, compactness, connectedness, and convergence within these structures
  • Demonstrate skills in constructing rigorous mathematical arguments
  • Apply the theory in the course to solve a variety of problems at an appropriate level of difficulty
  • Demonstrate skills in communicating mathematics
  • Complete a small research project as a member of a team

Prerequisite(s)

N/A

Corequisite(s)

N/A

Antirequisite(s)

N/A