Mathematics 3R: Algebra MATHS3021

  • Academic Session: 2018-19
  • School: School of Mathematics and Statistics
  • Credits: 10
  • Level: Level 3 (SCQF level 9)
  • Typically Offered: Semester 1
  • Available to Visiting Students: No
  • Available to Erasmus Students: No

Short Description

This course will provide an introduction to the basics of group theory. It will provide a good grounding in algebraic structures including the construction and application of quotient or factor groups and of homomorphisms between groups.

Timetable

17 x 1hr lectures and 6 x 1hr tutorials in a semester.

Requirements of Entry

Maths 2A, 2B and 2D at grade D3 or above.

Combined GPA of 9.0 or above on the three courses Maths 2C, Maths 2E and Maths 2F.

Full details of the requirements for a designated degree can be found in the University Calendar.

Excluded Courses

Maths 3H: Algebra (need code here?)

Assessment

90% Examination, 10% Coursework.

Main Assessment In: April/May

Are reassessment opportunities available for all summative assessments? No

Reassessments are normally available for all courses, except those which contribute to the Honours classification. For non Honours courses, students are offered reassessment in all or any of the components of assessment if the satisfactory (threshold) grade for the overall course is not achieved at the first attempt. This is normally grade D3 for undergraduate students and grade C3 for postgraduate students. Exceptionally it may not be possible to offer reassessment of some coursework items, in which case the mark achieved at the first attempt will be counted towards the final course grade. Any such exceptions for this course are described below. 

Course Aims

The basics of group theory will be covered. The intention is to provide a good grounding in algebraic structures including the construction and application of quotient or factor groups and the uses of homomorphisms between groups.

Intended Learning Outcomes of Course

By the end of this course students will be able to: 

■ write coherent statements of definitions and results covered in the course;

■ recognise situations in which it is appropriate to apply key theorems;

■ carry out simple computations using groups;

■ illustrate concepts by the use of examples;

■ reproduce key proofs;

■ solve problems in group theory, including both problems that are similar to problems recommended for formative assessment as well as unseen and more challenging problems.

Minimum Requirement for Award of Credits

None.