Dr Jozef Skokan

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.

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

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.

20 hours of lectures and 9 hours of classes in the LT. 1 hour of lectures and 1 hour of classes in the ST.

Written answers to set problems will be expected on a weekly basis.

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

Exam (100%, duration: 2 hours) in the main exam period.