Module Identifier MA13310  
Academic Year 2003/2004  
Co-ordinator Professor Tim Phillips  
Semester Intended for use in future years (Taught over 2 semesters)  
Next year offered N/A  
Next semester offered N/A  
Co-Requisite CS12220 or CS12320, CS12420. May also be taken as part of the first year of the Ordinary Degree in Mathematics.  
Course delivery Lecture   22 x 1 hour lectures  
  Practical   11 x 1 hour workshops  
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours  50%
Semester Assessment Course Work: 2 assessed workshops.  50%
Supplementary Assessment2 Hours Continuous assessment passed: same format as above; otherwise 2-hour written examination (as above).  100%

Learning outcomes

On completion of this module, a student should be able to:

Brief description

This module covers the bulk of the mathematical prerequisites for the first two years of honours degree courses in Computer Science and Software Engineering. It provides a basic introduction to number systems, sets and relations, rates of growth of functions, mathematical induction, sequences and series, and propositional and predicate calcutus. The material is presented in an accessible manner and draws on examples from computer science to emphasise the importance of the concepts introduced. No prior mathematical knowledge, beyond GCSE level, is assumed.


To provide the mathematical prerequisites for modules in the first two years of the honours degree courses in Computer Science and Software Engineering.


1. NUMBER SYSTEMS: Natural numbers, integers, rational numbers, real numbers. Radix r representation of integers: change of radix, representing negative and rational numbers, twos complement and computational arithmetic.
2. PROPOSITIONAL CALCULUS: Formulae, semantics, truth tables. Notions of tautology, validity, contradiction, satisfaction, equivalence and consequence. De Morgan's law. Disjunctive normal form, conjunctive normal form.
3. DIGITAL LOGIC GATES: Design and analysis.
4. PREDICATE CALCULUS: Terms and formulae, quantification, semantics.
5. SETS AND RELATIONS: Basic notation, Venn diagrams, ordered sequences, relations. Functions.
6. RATES OF GROWTH OF FUNCTIONS: Polynomials, logarithms and exponentials, and factorials.
7. SEQUENCES AND SERIES: The concepts of a sequence, a series. An application to computer science.

Reading Lists

** Recommended Text
R P Grimaldi (1999) Discrete and Combinatorial Mathematics 4th. Addison-Wesley 0201304244
J K Truss (1999) Discrete Mathematics for Computer Sciences 2nd. Addison-Wesley 0201360616


This module is at CQFW Level 4