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  6. MX3036: Metric And Topological Spaces

MX3036: METRIC AND TOPOLOGICAL SPACES (2021-2022)

Last modified: 31 May 2022 13:05


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
Term First Term 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

Contact Teaching Time

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

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 30 August 2024 for 1st term courses and 20 December 2024 for 2nd term courses.

Summative Assessments

4 assignments (25% each)

Alternative Resit Arrangements

Resubmission of failed elements (pass marks carried forward)

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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