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2010/1 Module Catalogue
 Module Code: MAT3002 Module Title: MATHEMATICAL ECONOMICS
Module Provider: Mathematics Short Name: MS306
Level: HE3 Module Co-ordinator: SKELDON A Dr (Maths)
Number of credits: 15 Number of ECTS credits: 7.5
Module Availability


Assessment Pattern

Unit(s) of Assessment
Weighting Towards Module Mark( %)
Coursework: one take-home assignment and one class test
Exam: written examination (2 hours, unseen)

Module Overview

This module will cover a number of mathematical techniques which are widely used in economic modelling.


Topics will include convexity, methods of constrained optimisation, introductory Game Theory and input-output analysis.  

MAT2009 Operations Research and Optimization

Module Aims

Learning Outcomes

At the end of the module the student should be able to:


(1) Understand the types of function used in economic modelling;
(2) Apply the techniques of linear algebra to economic models;
(3) Use a variety of methods for optimizing convex and concave functions;
(4) Understand the basic principles of Game Theory;
(5) Use fixed-point theory to show existence of equilibria


Module Content

Economic models of the firm and household; Utility and Production functions.

Methods for unconstrained and constrained optimization.


Introductory Game Theory and the application of Brouwer's fixed-point theorem.


Input-output analysis using the methods of linear algebra.

Methods of Teaching/Learning

Teaching is by lectures and tutorials. Learning takes place through lectures, tutorials, exercises and background reading. 3 hours of lectures/tutorials per week for 10 weeks.

Selected Texts/Journals

Background Reading


K. Sydsaeter and P.J. Hammond : Mathematics for Economic Analysis, Prentice Hall (1995), ISBN 013583600X.



R.K. Sundaram : A First Course in Optimization Theory, Cambridge (1996), ISBN 0521497701.



Kelvin Lancaster : Mathematical Economics, Dover (1987), ISBN 0486653919.



Guillermo Owen : Game Theory, Academic Press (1995), ISBN 0125311516.



Elliot Mendelson : Introducing Game Theory and its Applications, Chapman & Hall / CRC (2004), ISBN 1584883006.
Last Updated

September 10