Mathematics 2F: Foundations Of Pure Mathematics MATHS2008

  • Academic Session: 2019-20
  • School: School of Mathematics and Statistics
  • Credits: 10
  • Level: Level 2 (SCQF level 8)
  • Typically Offered: Semester 1
  • Available to Visiting Students: Yes
  • Available to Erasmus Students: Yes

Short Description

The aim in this course is to provide an introduction to ideas of abstract pure mathematics starting

from prior knowledge of rational, real and complex numbers systems and progressing to more sophisticated ideas in set theory including the notions of cardinality and equivalence relation.

Timetable

Lectures are on Tuesday and Thursdays at 9.00 am or Tuesdays and Thursdays at 12.00 noon. Fortnightly tutorials on Mondays.

Requirements of Entry

Mathematics 1R or 1X at grade D and Mathematics 1S or 1T or 1Y at grade D and a Pass in the Level 1 Skills test.

Assessment

One degree examination (80%) (1 hour 30 mins); coursework (20%).

Main Assessment In: December

Course Aims

The course aims to:

Provide students with their first exposure to ideas of abstract pure mathematics starting from their prior knowledge of rational, real and complex numbers systems and progressing to more sophisticated ideas in set theory including the notions of cardinality and equivalence relation. Introduce the basic principles of permutations. Lead to a practical understanding of the Euclidean algorithm. Understand how to learn and use simple formulae.

Intended Learning Outcomes of Course

On completion of the course, students will be able to:

 

■ Demonstrate knowledge of the properties of Q,R and C

■ Demonstrate knowledge of sets and functions

■ Demonstrate knowledge of permutations of finite sets

■ Demonstrate knowledge of basic number theory

■ Learn and apply formulae used in this course.

Minimum Requirement for Award of Credits

Students must submit at least 75% by weight of the components (including examinations) of the course's summative assessment.