MA211 Half Unit
Algebra and Number Theory
This information is for the 2016/17 session.
Teacher responsible
Prof Martin Anthony COL 3.13
Availability
This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Statistics with Finance. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.
Prerequisites
Students must have completed Introduction to Abstract Mathematics (MA103) and Mathematical Methods (MA100).
Course content
The aim of this course is to continue (from MA103) the study of abstract algebraic structures. There are two main strands in the course. First, we develop further the theory of groups, using permutation groups as a key example. We investigate the important concepts of normal subgroups and quotient groups. Secondly, we introduce rings, and study factorisation in rings, where we also look at some connections with number theory. Groups: Review of basic group theory; permutations and permutation groups; homomorphisms; conjugation, normal subgroups and quotient groups; the first isomorphism theorem for groups. Rings: basic properties of rings and examples (including polynomial rings, matrix rings, and number rings); subrings, ideals and ring homomorphisms; divisibility in integral domains; greatest common divisors; Euclidean rings and unique factorisation; applications to number theory; principal ideal domains.
Teaching
20 hours of lectures, 1 hour of lectures and 10 hours of classes in the MT. 1 hour of lectures in the ST.
Formative coursework
Written answers to set problems will be expected on a weekly basis.
Indicative reading
Introduction to Algebra, Peter J Cameron (OUP 1988);
Rings, Fields and Groups: Introduction to Abstract Algebra, Reg Allenby (ButterworthHeinemann, 2nd edition 1991)
Assessment
Exam (100%, duration: 2 hours) in the main exam period.
Key facts
Department: Mathematics
Total students 2015/16: 39
Average class size 2015/16: 14
Capped 2015/16: No
Lecture capture used 2015/16: Yes (MT)
Value: Half Unit
PDAM skills
 Selfmanagement
 Problem solving
 Application of information skills
 Communication
 Application of numeracy skills
 Specialist skills
Course survey results
(2013/14  2015/16 combined)
1 = "best" score, 5 = "worst" scoreThe scores below are average responses.
Response rate: 83%
Question 
Average  

Reading list (Q2.1) 
2.2  
Materials (Q2.3) 
1.9  
Course satisfied (Q2.4) 
1.6  
Lectures (Q2.5) 
1.8  
Integration (Q2.6) 
1.5  
Contact (Q2.7) 
1.7  
Feedback (Q2.8) 
1.7  
Recommend (Q2.9) 
