Skip to Content


Last modified: 24 Jun 2020 14:31

Course Overview

The aim of the course is to introduce the basic concepts of metric spaces and their associated topology, and to apply the ideas to Euclidean space and other examples.

An excellent introduction to "serious mathematics" based on the usual geometry of the n dimensional spaces.

Course Details

Study Type Undergraduate Level 3
Session First Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus Aberdeen Sustained Study No
  • Dr Irakli Patchkoria

Qualification Prerequisites

  • Either Programme Level 3 or Programme Level 4

What courses & programmes must have been taken before this course?

What other courses must be taken with this course?


What courses cannot be taken with this course?

Are there a limited number of places available?


Course Description

  • Metric spaces and topological spaces.
  • Compactness, connectedness.
  • Subspace and product space topology.
  • Complete metric spaces.


  • Metric spaces
  • Continuity and convergence in metric spaces
  • Open and closed sets; interior and closure
  • Products and subspaces of metric spaces
  • Connectedness and path-connectedness
  • Compactness
  • Completeness
  • Topological spaces
  • One-point compactification; quotient spaces

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

  • 1 during University weeks 8 - 18
  • 1 Tutorial during University weeks 9 - 18

More Information about Week Numbers

In light of Covid-19 and the move to blended learning delivery the assessment information advertised for courses may be subject to change. All updates for first-half session courses will be actioned no later than 1700 (GMT) on 18 September 2020. All updates for second half-session courses will be actioned in advance of second half-session teaching starting. Please check back regularly for updates.

Summative Assessments

4 assignments (25% each)

Alternative Resit Arrangements for students taking course in Academic Year 2020/21

1 x Homework Exercise (100%)


Formative Assessment

There are no assessments for this course.

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome

Compatibility Mode

We have detected that you are have compatibility mode enabled or are using an old version of Internet Explorer. You either need to switch off compatibility mode for this site or upgrade your browser.