MA210       Half Unit     
Discrete Mathematics

This information is for the 2011/12 session.

Teacher responsible

Dr Jozef Skokan, COL 3.04

Availability

BSc Mathematics and Economics and  BSc Mathematics with Economics. Also available as an outside option. Available to General Course students with permission.

Pre-requisites

MA103 Introduction to Abstract Mathematics, or an equivalent course giving a background in rigorous mathematics.

Course content

A second-level course covering some of the main concepts and techniques of discrete mathematics together with its applications. Topics covered: Counting: selections, inclusion-exclusion, partitions and permutations, generating functions, recurrence relations. Graph Theory: basic concepts (graph, adjacency matrix, etc), walks and cycles, trees and forests, colourings. Optional topics include coding theory, designs, and algorithms and their efficiency.

Teaching

20 hours of lectures and 10 hours of classes in the Lent Term.

Formative coursework

Weekly exercises are set and marked.

Indicative reading

PJ Cameron, Combinatorics (CUP 1994); NL Biggs, Discrete Mathematics (OUP 2004)

Assessment

A two-hour examination in the ST (100%).

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