Module Identifier MA13610  
Academic Year 2003/2004  
Co-ordinator Dr V Mavron  
Semester Semester 2  
Pre-Requisite MA12610 or MA10110 or MA12010.  
Mutually Exclusive May not be taken at the same time as MA13510.  
Course delivery Lecture   22 x 1 hour lectures  
  Seminars / Tutorials   6 x 1hour example classes  
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours (written examination)  60%
Semester Assessment Course Work:  20%
Semester Assessment In-Course Assessment: Open book test  20%
Supplementary Assessment2 Hours (written examination)  100%

Learning outcomes

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

Brief description

This module continues the thread of MA12610 with optimisation of functions of several variables and Lagrange Multipliers. It also includes basic matrix techniques and simple differential and difference equations. Like MA12610, it will be illustrated with applications to Economics.


To introduce the basic Mathematical techniques required for degrees involving Economics or Accounting.


1. FURTHER OPTIMIZATION: Constrained optimization in functions of one variable, the interpretation of Lagrange multipliers, unconstrained optimization in functions of more than one variable, constrained optimization in functions of more than one variable.
2. MATRIX ALGEBRA: Simultaneous linear equations, Gaussian reduction, laws of matrix algebra, identity and null matrices, matrix addition and subtraction, scalar multiplica-tion, matrix multiplication, matrix inversion, determinants, determinants and matrix non-singularity, higher-order determinants, matrix inversion using determinants, Cramer's Rule, matrix rank.
3. INTEGRATION: The notion of an integral. Area under a curve. Integration of simple power and exponential functions. Integration of marginal functions.

Reading Lists

** Should Be Purchased
I.Jacques (1999) Mathematics for Economics and Business Addison-Wesley 0201427699
** Supplementary Text
E.T.Dowling (1992) Schaum's outline of theory and problems of introduction to mathematical economics. McGraw-Hill 0070176744
M.Wisniewski (1994) Introductory Mathematical Methods in Economics 2nd. McGraw-Hill 0077091094
A.C.Chiang (1974) Fundamental Methods of Mathematical Economics 2nd. McGraw-Hill 0070107807
J Black & J F Bradley (1990) Essential Mathematics for Economists 2nd. John Wiley 0471276596


This module is at CQFW Level 4