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MT4003 Groups

SCOTCAT credits:15
Academic year(s):2017/8
Level:
SCQF Level 10
Semester:2
Planned timetable:9.00 am Mon (even weeks), Tue and Thu

This module introduces students to group theory, which is one of the central fields of the 20th century mathematics. The main theme of the module is classifying groups with various additional properties, and the development of tools necessary in this classification. In particular, the students will meet the standard algebraic notions, such as substructures, homomorphisms, quotients and products, and also various concepts peculiar to groups, such as normality, conjugation and Sylow theory. The importance of groups in mathematics, arising from the fact that groups may be used to describe symmetries of any mathematical object, will be emphasised throughout the module.

Place in programme(s) and relationship to other modules

Undergraduate

Compulsory for MMath Pure Mathematics. At least two from MT4003, MT4004, MT4509, MT4510 and MT4606 are compulsory for MMath Mathematics.

Optional for all other programmes in the School.

UG Pre-requisite(s):MT3600 or (MT2002 and MT3501) or MT2505
UG Modules required for:MT5823, MT5824, MT5827

Learning and teaching methods and delivery

Weekly contact:2.5 lectures (weeks 1 - 10), 1 tutorial and 1 examples class (weeks 2 - 11).
Total module hours:
  • Scheduled learning: 45
  • Guided independent study: 105

Assessment pattern

UG As defined by QAA:
  • Written examinations: 100%
  • Practical examinations: 0%
  • Coursework: 0%
UG As used by St Andrews:2-hour Written Examination = 100%
UG Re-assessment:2-hour Written Examination = 100%

Personnel

Module coordinator:Dr M R Quick
Module teaching staff:Dr M R Quick