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MA1511: SET THEORY (2021-2022)

Last modified: 16 Aug 2021 13:45


Course Overview

Set theory was introduced by Cantor in 1872, who was attempting to understand the concept of "infinity" which defied the mathematical world since the Greeks. Set Theory is fundamental to modern mathematics - any mathematical theory must be formulated within the framework of set theory, or else it is deemed invalid. It is the alphabet of mathematics.

In this course we will study naive set theory. Fundamental object such as the natural numbers and the real numbers will be constructed. Structures such as partial orders and functions will be studied. And of course, we will explore infinite sets.



Course Details

Study Type Undergraduate Level 1
Session Second Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus Aberdeen Sustained Study No
Co-ordinators
  • Dr William Turner

Qualification Prerequisites

  • Either Programme Level 1 or Programme Level 2

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?

None.

Are there a limited number of places available?

No

Course Description

Syllabus

  • The algebra of sets.
  • Relations and functions.
  • Construction of the natural numbers.
  • Induction and strong induction.
  • Finite sets.
  • Construction of the integers.
  • Construction of the rational numbers.
  • Dedekind cuts and the real numbers.
  • Countability and uncountability.
  • Zorn's lemma.

In light of Covid-19 this information is indicative and may be subject to change.

Contact Teaching Time

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

Teaching Breakdown

  • 1 Support Tutorial during University weeks 26 - 30, 32 - 35, 39 - 40
  • 1 Tutorial during University weeks 27 - 30, 32 - 35, 39 - 40

More Information about Week Numbers


In light of Covid-19 and the move to blended learning delivery the assessment information advertised for second half-session courses may be subject to change. All updates for second-half session courses will be actioned in advance of the second half-session teaching starting. Please check back regularly for updates.

Summative Assessments

1st Attempt

Course assignment - 33.3%

Course assignment - 33.3%

Essay - 33.4%

One week for each assessment

Alternative Resit Arrangements

Resubmission of failed elements (pass mark 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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