Optional modules
International Economic Relations
This module is an introduction to the economic analysis of some of the key real (i.e. non-monetary) phenomena that are associated with globalisation. In particular, we will examine how economists study international trade flows; trade policy; and foreign direct investment (FDI) and multinational enterprises (MNEs). We will also analyse the basis, both in positive economics and in normative/ethical concerns, of selected controversies surrounding globalisation.
Economics of the Financial System
The aims of the module are for students to:
- Become familiar with economic concepts used to analyse financial markets and financial institutions.
- Gain experience in using financial and economic statistics and case studies relevant to understanding financial markets and institutions.
- Obtain insight into some of the principal current business and policy issues in the financial system, both in capital markets and commercial banking.
Applied Econometrics
The aim of this module is to build on the introductory econometrics taught at level B in order to develop an understanding of more advanced econometrics techniques for time-series, cross-section and panel data.
Advanced Numerical Methods
More information to follow.
Asymptotic Methods
The aims of this module are:
- To introduce the concept of small and large parameters in equations and how they can be exploited to simplify difficult mathematical problems.
- To introduce a wide range of approximation techniques to analyse differential equations and integrals.
Bayesian Statistics and Markov Chain Monte Carlo Methods
The aims of this module are:
- To introduce Bayesian statistics.
- To study posterior distributions and their properties.
- To discuss applications of Bayesian statistics to a range of data sets.
Introduction to Dynamical Systems
The aim of this module is to introduce students to the notions and methods of the theory of dynamical systems with an emphasis on its applications.
Introduction to Differential Geometry
The aim of this module is to introduce the basic ideas and methods of the classical differential geometry of curves and surfaces in three-dimensional Euclidean space.
Functional Analysis
The aim of this module is to create awareness of the power and range of abstract mathematical concepts through a basic introduction to the methods of functional analysis.
Introduction to Algebraic Geometry
The aims of this module are to:
- Introduce the basics of algebraic geometry.
- Compare the structure of affine and projective varieties.
- Analyse examples and their properties including dimension and singularities.
Number Theory
The aim of this module is to provide students with fundamental methods of classical number theory and some of its diverse applications.
Operational Research
The aims of this module are:
- To introduce students to the nature of operational research and its techniques.
- To study linear programming, its applications and associated algorithms.
Stochastic Methods in Finance
The aims of this module are:
- To provide students with a rigorous mathematical introduction to the modern financial theory of security markets in discrete and continuous time models.
- To give students a solid theoretical background in the derivatives industry in discrete and continuous time models.
Developments in Macroeconomics
This module will examine the developments in the underlying foundations of modern macroeconomics from Keynes to the present day, through an analysis of specific macroeconomic models and policy issues.
Developments in Microeconomics
This module aims to introduce rigorous economic and mathematical methods for studying how microeconomic tools are used in the design of public policies. It covers a selection of modern microeconomic methodologies and applications.
The aim is to extend students' microeconomic grasp beyond that covered in Part B in ways which complement other final year modules and equip students with a solid foundation for understanding recent developments in microeconomic theory.
At the end of the module, students should have gained an insight into how information, motivation, behaviour and market structure combine to generate many economic outcomes.
Financial Economics and Asset Pricing
The aims of this module are to:
- Introduce students to fundamental concepts in modern portfolio theory.
- Develop and analyse the formal economic theory of capital markets and the pricing of capital assets.
- Explain the concept of arbitrage and its relevance to the analysis of asset prices and portfolio management.
Advanced Complex Analysis
The aims of this module are to introduce students to more advanced complex variable methods and demonstrate how these can be applied to sum series, evaluate integrals and define special functions.
Computational Methods for Differential Equations
The aim of this module is to give a theoretical and practical knowledge of numerical methods for the approximation of ordinary and partial differential equations.
Galois Theory
The aim of this module is to explore fundamental algebraic structures and their connection to solving equations.
Game Theory
The aims of this module are:
- To introduce rigorous mathematical tools which are useful in economics analysis.
- To give students a solid mathematical background in game theoretic models.
Elliptic Curves
The aims of this module are to:
- Introduce students to the geometry of elliptic curves.
- Illustrate the difference between complex geometry and Diophantine geometry over the rational numbers.
Linear Differential Equations
The aims of this module are:
- Gain familiarity with linear ODEs with non-constant coefficients.
- To introduce linear PDEs with constant and non-constant coefficients.
Mathematical Biology
The aims of this module are:
- To introduce some mathematical models of biological systems and various techniques for analysing them.
- To enable students to appreciate how mathematics can be used to model biological systems.
Medical Statistics
The aims of this module are to reinforce students' skills in interpreting statistical tests and using statistical software, and to introduce the methods and theory for the design and analysis of medical trials.
Representation Theory
The aims of this module are to:
- Introduce the group representations as symmetries of vector spaces.
- Examine the special characteristics of the category of representations.
- Help students appreciate and use the connections between different areas of mathematics.
Statistics for Large Data
The aim of this module is:
- To introduce both supervised and unsupervised methods for learning from data.
- To introduce methods of dimensionality reduction.
- To introduce the R statistical programming language for implementing methods using real data.
Studies in Science and Mathematics Education
The aims of the module are:
- To develop a range of skills within students and provide an early introduction to teaching for those interested in pursuing it, or a related field, as a career.
- To develop confidence and competence in communicating their subject.
- To provide opportunities to devise and develop science and mathematics projects and teaching methods appropriate to the age and ability of those the student is working with.
Vibrations and Waves
The aim of this module is to investigate physical phenomena that involve vibrations and waves using appropriate mathematical tools.
Industrial Economics
The aim of the module is to develop economic skills to analyse strategic interaction among firms in imperfectly competitive markets or regulated industries.
Central Banking and Financial Crises
The aim of this module is for the student to appreciate how and why central banks use monetary policy, with a view to understanding noteworthy recent and historical policy developments in the UK, the US, Japan, and the Euro area.
Part of the module is geared towards understanding how central banks react to financial crises, with special emphasis placed on the recent global financial crisis, as well as important historical events such as the great depression. The module aims to make students appreciate how the central bank is at the heart of a country's financial and economic system.
Corporate Finance and Derivatives
The aims of this module are to provide:
- A sound practical and theoretical understanding of corporate finance, in particular corporate investment decisions.
- Awareness of the major derivative products and markets.
- Conceptual understanding of arbitrage pricing of financial derivatives.
- Practical experience of implementing some of the most widely used corporate finance and derivative pricing models.
University-wide Language Programme
This is a 10 credit module from the University-wide language programme.