MSc Financial Economics / Course details

Year of entry: 2021

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Course unit details:
Mathematical Methods in Economic Analysis

Unit code ECON60081
Credit rating 15
Unit level FHEQ level 7 – master's degree or fourth year of an integrated master's degree
Teaching period(s) Semester 1
Offered by Economics
Available as a free choice unit? Yes








The aims of this course are to:

(i) provide students with some understanding of the most important mathematical techniques used in modern economics;

(ii) illustrate the use of these techniques by applying them to various well-known economic models;

(iii) complement the core postgraduate microeconomic and macroeconomic theory courses


Learning outcomes

At the end of this course students should be able to:

(i) demonstrate a good understanding of static optimization techniques and dynamic systems applicable to economics;

(ii) demonstrate the skills needed to understand theoretical models in economics.




The subject matter can be divided into 2 parts.

Part I: Linear Algebra, Sets, Preferences, Functions, Concavity, Static Optimization

Part II: Dynamic Systems and Dynamic Optimisation

Teaching and learning methods

Lectures and Exercise Classes.

Assessment methods

Method Weight
Other 40%
Written exam 60%
Introduction to Quantitative Methods: 10%
Interim Test 1: 15%
Interim Test 2: 15%
January exam: 60%

Recommended reading

There is no single book that is referred to enough to warrant a recommendation for purchase; but the

highlighted texts are referred to in the lecture notes.

H.S. Bierman and L. Fernandez, Game Theory with Economic Applications, Addison-Wesley, 1998.

O.J. Blanchard and S. Fischer, Lectures on Macroeconomics, MIT, 1989.

A.C. Chiang, Elements of Dynamic Optimisation, McGraw-Hill, 1992.

H. Gravelle and R. Rees, Microeconomics, Longman, 1992.

G.A. Jehle and P.J. Reny, Advanced Microeconomic Theory, Addison-Wesley, 2011.

D.Leonard and N. Van Long, Optimal Control Theory and Static Optimisation in Economics, CUP, 1992

L. Ljungqvist and T.J. Sargent, Recursive Macroeconomic Theory, MIT Press, 2000.

P.J. Madden, Concavity and Optimisation in Microeconomics, Basil Blackwell, 1986.

A. Mas-Colell, M. Whinston, J. Green, Microeconomic Theory, MIT Press, 1995.

J.T. Sandefur, Discrete Dynamical Systems: Theory and Applications, Clarendon Press, 1990.

R. Shone, Economic Dynamics, CUP, 1997.

N.L. Stokey and R.E. Lucas, Jr, Recursive Methods in Economic Dynamics, Harvard University Press, 1989.

K. Sydsæter, P. Hammond, A. Seierstad, A. Strøm: Further Mathematics for Economic Analysis, Prentice

Hall, 2008.


Study hours

Scheduled activity hours
Lectures 20
Tutorials 12
Independent study hours
Independent study 118

Teaching staff

Staff member Role
Horst Zank Unit coordinator

Additional notes

You should have attended our pre-session maths course, or be familiar with its material (particularly uni- and multi-variate calculus, basic optimization theory, matrices and determinants) from your earlier training. Such material is a pre-requisite for ECON60081.



Lecture - Thursday 9-11am,

Lecture - Tuesday 3-5pm,

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