Economics and Mathematics BSc

Economics core module:

Microeconomic Analysis and Policy

This module introduces you to the fundamental principles of microeconomic theory, focusing on the behaviour and decision-making processes of individuals, households, and firms. You will gain a solid understanding of key microeconomic concepts, such as choice theory, market structures, consumer behavior, and firm decision-making. The module explores the practical application of microeconomic analysis to contemporary policy issues.

20 credits

Macroeconomic Analysis and Policy

This module introduces you to the foundations of macroeconomic theory and analysis. You will explore how economies operate at the aggregate level and develop the tools to understand key economic indicators such as interest rates, national output, inflation, and exchange rates. Through real-world examples and policy applications, you will learn how macroeconomic analysis informs and shapes economic decision-making and policy evaluation in national and global contexts.

20 credits

Mathematics core modules:

Introduction to University Mathematics

This core module is designed to consolidate A-level material and explore topics in mathematics that you'll use throughout your degree. You'll also be introduced to core skills, such as mathematical literacy, communication and problem-solving.  

Throughout this module you'll develop a strong foundation in core mathematics. You'll consider techniques for solving equations, special functions, calculus, vectors, complex numbers, and finite and infinite series.

20 credits

Mathematical modelling

Mathematics is the language of science.  By framing a scientific question in mathematical language, it is possible to gain deep insight into the empirical world.  This module aims to give students an appreciation of this astonishing phenomenon.  It will introduce them to the concept of mathematical modelling via examples from throughout science, which may include biology, physics, environmental sciences, and more.  Along the way, a range of mathematical techniques will be learned that tend to appear in empirical applications.  These may include (but not necessarily be limited to) difference and differential equations, calculus, and linear algebra.

20 credits

Probability and Data Science

Probability theory is branch of mathematics concerned with the study of chance phenomena. Data science involves the handling and analysis of data using a variety of tools: statistical inference, machine learning, and graphical methods. The first part of the module introduces probability theory, providing a foundation for further probability and statistics modules, and for the statistical inference methods taught here. Examples are presented from diverse areas, and case studies involving a variety of real data sets are discussed. Data science tools are implemented using the statistical computing language R.

20 credits

Computing and Analysis

This module collects together a number of the most useful topics for future modules in financial mathematics. The first semester will cover some computing, using Python to write simple programmes and LaTeX to write mathematical documents.  The second semester is given to analysis, a branch of pure mathematics with applications in financial mathematics.  The two semesters are independent of each other.

20 credits

Core Economics modules

Intermediate Microeconomics

This module builds on Level 1 modules in microeconomics and mathematical economics, using the mathematical training to allow a more rigorous investigation of the principles of microeconomics. It aims to develop an understanding and ability to undertake economic analysis of models of the behaviour and interaction of economic agents (consumers, firms and government) in a market economy, the functioning of different types of industries, decision making under uncertainty and economic welfare.

20 credits

Intermediate Macroeconomics

The aims of this course are to provide firm grounding in the analytical tools of modern macroeconomics; to use these tools to understand critically the conduct of economic policy nationally and internationally. The course builds on level 1 modules in macroeconomics. The main subject areas covered are: Basic macroeconomic models: consumption/leisure choice, closed economy one period-macro models, models of search and unemployment; Savings, investment and government deficits: consumption/savings choice (two-period model), credit market imperfections, real intertemporal model with investment; Money and business cycles: flexible price models, New Keynesian economics (sticky prices), inflation; International macroeconomics: international trade, money in open economy; Economic growth: Malthus and Solow growth models, convergence, endogenous growth model.

20 credits

Econometrics

This module introduces students to econometric analysis, through a consideration of regression models, their properties, what can go wrong, and how those problems are solved. Throughout, the module tries to provide students with an intuitive feel for these issues, supported by appropriate mathematical proofs. Students are also provided with the practical experience of performing their own regression analyses, in a supported workshop setting with datasets provided to them.

20 credits

Core Mathematics modules

- Linear Algebra and Advanced Calculus (20 credits)
- Analysis (20 credits)

Optional modules

- Stochastic Modelling (20 credits)

Statistical Inference and Modelling

Statistical inference and modelling are at the heart of data science, a field of rapidly-growing importance in the modern word.  This module develops methods for analysing data, and provides a foundation for further study of probability and statistics at higher Levels.  You will learn about a range of standard probability distributions beyond those met at Level 1, including multivariate distributions. You will learn about sampling theory and summary statistics, and their relation to data analysis. You will discover how to parametrise various types of statistical model, learn techniques for determining whether one model is 'better' than another for understanding a dataset, and learn how to ascertain how good a statistical model is at explaining trends in data. The software package R will be used throughout.

20 credits

Core modules

Further Econometrics

This module is designed to introduce students to a number of important advanced topics in econometrics. The aims of the module are to provide: an overview of modern econometric methodology; an introduction to further econometric techniques; and an introduction to applied econometric research methods. The module will cover topics in both microeconometrics and times series econometrics.

20 credits

Further Mathematical Methods for Economics

This module aims to build upon a basic knowledge of mathematical economics, introducing and explaining some of the more advanced mathematical techniques which are prevalent in modern economics and to show how they can be applied to intermediate economic analysis and discussions. By the end of the module students should be able to demonstrate an understanding of, and be able to apply in a variety of economic situations, the principles of univariate and multivariate calculus; linear algebra; constrained and unconstrained optimisation and comparative static analysis (with and without the use of linear algebra); basic inequality constrained optimisation; maximum value functions and the envelope theorem. It is assumed that students enrolling onto this module can rearrange equations, solve simultaneous equations, undertake multivariate calculus and solve economic problems including basic constrained optimisation.

20 credits

Optional Economics modules

Advanced Microeconomics

This module is designed to further develop students' understanding of core microeconomic principles by exploring a number of advanced topics in microeconomics. The course material will be predominately theoretical with a substantial mathematical component and some evaluation of empirical evidence. Indicative topics include: decision-making under uncertainty; insurance markets, principal-agent theory, risk aversion and risky asset holdings; cooperative and non-cooperative bargaining; economics of sporting contests.

20 credits

Game Theory for Economists

Game theory is the study of decision problems which involve more than one agent. Given the prevalence of such problems in economics, game theory has become a very important methodological tool in many of its fields, including industrial economics, political economy and international trade. This module aims at equipping students with the core knowledge of game theory as used in economics, with special emphasis on applications and examples, rather than pure theory.

20 credits

International Trade

The first part of the course will cover neoclassical trade theories in which countries trade following their comparative advantage. The second part of the course deals with more recent trade theories based on economies of scale and/or imperfect competition that helps us to explain some recent patterns observed in the data. The third part of the course is an introduction to trade policy and the political economy of trade policy.

20 credits

Monetary Economics

This module covers monetary theory and monetary policy. It presents several economic models and discusses what monetary policy can and cannot do, as well as an introduction to the New Keynesian model. The module aims to enable students to apply the skills of economic analysis to the conduct of central banks and to the mechanisms underlying the monetary transmission mechanism.

20 credits

Urban Economics

Urban economics is concerned with understanding the spatial form of cities and the spatial distribution of economic activities within a country, making use of theoretical models and empirical evidence. Three fundamental questions are: (1) Why are economic activities within a country so unequally distributed across space? (2) Why do cities, and more broadly agglomerations of firms and workers, emerge and in what locations? (3) What are the consequences of unequal distribution of activities for productivity, innovation and wages? This module covers topics such as:- Why do cities exist and why do firms cluster?- What determines equilibrium city size and features of the urban system?- City growth, spatial transformation and the implications for productivity, knowledge and wages.- Real Estate economics and the housing market.- Diseconomies in cities: Urban location, land rents and land use patterns.- Unequal distribution of economic activities and levelling-up.- Transportation economics.- Urbanisation in developing countries.

20 credits

Health Economics

Economics is the study of how society allocates its scarce resources across competing alternatives. This notion of scarcity is as relevant in the health care sector as it is elsewhere and, thus, it is important that the resources available to health and health care are used in the best possible ways. This course will: look at how best should be defined in the context of health care; consider the roles that market forces and governments might play in achieving the sector's objectives; and discuss what information is needed so that resources can be deployed where they will do the most good. The aims of the module are: 1. To enable students to develop a critical understanding of the basis of health economics.
2. To introduce students to the health economists' toolkit, the ways in which it can be used in to inform health care resource allocation, and its limitations.

20 credits

Economic Analysis of Inequality and Poverty

This module will cover the economic theories used for the analysis of inequality and poverty.
The theories will be backed by evidence from both the developed and the developing countries. The module starts off by a discussion of issues around measurement of inequality and poverty; the different measures that are used and the inherent assumptions behind these measures. We then move on to explain the existing global trends in inequality and poverty. Different theories are used to explain these trends; for example: role of human capital, poverty traps etc. Finally we discuss the policy response of different countries to address the issues of inequality and poverty, drawing on the specific examples of welfare programmes in the developed countries and the conditional cash transfers in the developing countries.

20 credits

Advanced Macroeconomics

This module is designed to cover topics which illustrate and amplify the core teaching in macroeconomics at level two. Topics include Dynamic general equilibrium theory of consumption and saving, Consumption theory, Macroeconomic Risk, Real business cycle and fiscal policy, Financial frictions and credit constraints, Nominal economy and monetary policy, Economic growth and finance.

20 credits

Modern Finance

The aim of this module is to introduce some of the main principles of modern finance. This is an analytical module which reflects the quantitative nature of the subject and each topic is developed from first principles. The topics covered include: the time value of money and its applications; risk return and diversification; introduction to portfolio selection; the capital asset pricing model (CAPM) and its use; and an introduction to the role of utility theory in finance and company capital structure. The aims of the module are to: Provide an introduction to portfolio theory, i.e., the concept of financial risk and behaviour of rational, risk-averse investors; Leading to a general equilibrium picture of financial asset returns and prices; Explore corporate financial decision making in the major areas of Capital Structure (the mix of equity and debt financing used to finance the firm's investments); Introduce students to concepts of Stock Market Efficiency and Option Pricing, considering in particular alternative pricing models.

20 credits

Education Economics

The amount of education possessed by individuals will influence their decisions in future. Education relates to issues such as health and labour market decisions. This module examines the demand for and provision of education, incorporating a mixture of economic theory such as human capital; rates of return to further and higher education and course type all of which directly relate to the labour market. The graduate labour market is analysed, incorporating changes in the provision of higher education and an understanding of the rationale for the introduction of top-up fees. A final section considers schools, analysing and evaluating issues such as class size reduction, competition and selection, the performance of teachers, and the importance of pupils' family backgrounds, all in terms of their effect on pupil performance.

20 credits

Political Economy

Important economic processes cannot be fully understood without taking into account political and institutional factors and governments' political motivations. This module introduces insights from politics into the study of public policy and economic performance. In particular, it aims to give students: 1. an opportunity for interdisciplinary study within the undergraduate economics degree; 2. familiarity with the modern literature in theoretical and applied political economy; 3. an opportunity to develop their research skills through research-oriented assignments.

20 credits

Environmental Economics

Economic choices shape nature just as nature can shape our choices. This module provides students with the opportunity to apply economic concepts and methods to issues related to the use and management of the environment and natural resources. The module explores issues, arguments and analysis of market failure in the protection of the environment. It also offers public policy responses to issues of sustainability and climate change.

20 credits

Behavioural Economics

Standard economic models can successfully model human behaviour. However, the strong assumptions required of economic actors in those models will make systematic mispredictions in some contexts. Behavioural economics tries to overcome the systematic mispredictions by adopting non-standard assumptions, often inspired by insights from other disciplines. The module will discuss empirical evidence that underpins these non-standard assumptions, and will reflect on how insights from behavioural economics can be relevant in real life.

20 credits

Economics of Race and Gender

The Economics of Race and Gender first presents an overview of differential outcomes by gender and ethnicity in the UK labour market and discusses the possible drivers of these differences.  It then presents economic theories of discrimination in labour markets before discussing the strategies that economists use to test for discrimination in the real world.  

20 credits

The Economics of Innovation

The aim of this module is to provide an overview of the economics of innovation. The module will study firms' incentives to invest in innovation and the resulting policy implications. Expanding your knowledge of microeconomics this module will include the relationship between market structure and innovation, the role of firm cooperation and the effects of mergers on innovative activities. We will also look at the role of intellectual property rights / patent systems and policy interventions. As many innovations in recent years are in the areas of digitalization, artificial intelligence, and big data, the module will also cover those topics.

20 credits

Development Economics

It takes the average worker in the UK less than ten days to produce the same amount of output as the average worker in the Democratic Republic of Congo produces over the course of an entire year. Earning the minimum wage in the UK easily puts you in the top 10% of earners worldwide. This module uses a mix of theory and empirics to seek to understand where these enormous gaps in standards of living between countries come from and how they evolve over time.

20 credits

Optional Mathematics modules

- Financial Mathematics and Time Series (20 credits)
- Bayesian Statistics and Generalised Linear Models (20 credits)
- Medical Statistics and Sampling Theory (20 credits)
- Machine Learning (20 credits)
- Metric Spaces and Measure Theory (20 credits)
- Operations Research and Game Theory (20 credits)
- Combinatorics and Graph Theory (20 credits)

Stochastic Processes and Finance

A stochastic process is a mathematical model for phenomena unfolding dynamically and unpredictably over time. This module studies two classes of stochastic process particularly relevant to financial phenomena: martingales and diffusions. The module develops the properties of these processes and then explores their use in Finance. A key problem considered is that of the pricing of a financial derivative such as an option giving the right to buy or sell a stock at a particular price at a future time. What is such an option worth now? Martingales and stochastic integration are shown to give powerful solutions to such questions.

20 credits

Undergraduate Ambassadors Scheme in Mathematics

This module provides an opportunity for Level Three students to gain first hand experience of mathematics education through a mentoring scheme with mathematics teachers in local schools. Typically, each student will work with one class for half a day every week for 11 weeks. The classes will vary from key stage 2 to sixth form. Students will be given a range of responsibilities from classroom assistant to the organisation and teaching of self-originated special projects. Only a limited number of places are available and students will be selected on the basis of their commitment and suitability for working in schools.

20 credits