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MX3036: METRIC AND TOPOLOGICAL SPACES (2022-2023)

Last modified: 31 May 2022 13:20


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
Co-ordinators
  • 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?

None.

What courses cannot be taken with this course?

Are there a limited number of places available?

No

Course Description

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

Syllabus

  • 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

Details, including assessment, may be subject to change until 31 July 2022 for 1st half-session courses and 23 December 2022 for 2nd half-session courses.

Contact Teaching Time

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

Teaching Breakdown

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

More Information about Week Numbers


Details, including assessment, may be subject to change until 31 July 2022 for 1st half-session courses and 23 December 2022 for 2nd half-session courses.

Summative Assessments

 

1x Exam (50%)

2x Homework (25% each)

 

Resit

Exam (100%)

Formative Assessment

There are no assessments for this course.

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
FactualRememberILO’s for this course are available in the course guide.

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