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MA1511: SET THEORY (2020-2021)

Last modified: 24 Jun 2020 14:31


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.

Contact Teaching Time

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

Teaching Breakdown

  • 3 Lectures during University weeks 24 - 34
  • 1 Tutorial during University weeks 25 - 34

More Information about Week Numbers


Summative Assessments

4x Quizzes

Assessment Type Summative Weighting 15
Assessment Weeks Feedback Weeks

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Exam

Assessment Type Summative Weighting 70
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Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Homework

Assessment Type Summative Weighting 15
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Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Formative Assessment

There are no assessments for this course.

Resit Assessments

Best of written exam (100%) or written exam (70%) with carried forward in-course assessment (30%)

Assessment Type Summative Weighting
Assessment Weeks Feedback Weeks

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
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Course Learning Outcomes

Knowledge LevelThinking SkillOutcome

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