The aims of this module are:

• To introduce the notion of convergence as this applies to sequences and series.
• To introduce the notion of continuous function of one real variable.
• To provide a firm basis for future modules in which the idea of convergence and continuity is used.
• To help students recognize the necessity and power of rigorous argument.

This module aims to provide a sound, basic understanding of modern macroeconomics, its historical development and its application to theoretical and real-world problems, using diagrams, simple mathematics and writing.

This module aims to develop an understanding of consumer and producer behaviour, market outcomes and government policy using diagrams and simple mathematics.

The aims of this module are:

• To introduce basic ideas of vector spaces.
• To introduce linear transformations and explain their relationship to matrices.
• To provide the basic methods of linear algebra for other modules throughout all mathematics-based programmes.

The aims of this module are to:

• Introduce students to the basic concepts of probability and statistics.
• Illustrate the relevance of these concepts to practical problem solving.

A part aim for this module is to enable students to become aware of and develop their academic, professional and personal skills through Personal Best. Personal Best is a development programme available to all students at Loughborough University.

The aim of this module is to develop further the main concepts of linear algebra.

The aims of this module are:

• to learn how to programme in a standard computer programming language;
• to learn elementary numerical methods and associated theory;
• to apply numerical methods to solve mathematical problems of appropriate level of difficulty;
• to implement numerical methods on the computer and to critically interpret numerical results.

The aim of this module is to examine macroeconomic theory and policy at an intermediate level.

The aim of this module is to develop an analytical understanding of consumer and producer behaviour given the choices and constraints they face at the microeconomic level, and a basic understanding of the interaction of individuals' behaviour at the level of the whole economy.

The aim of this module is for the student to understand both basic and more advanced techniques of econometrics that will allow economic theories to be tested using econometric computer software.

The aims of this module are to:

• Introduce students to basic concepts in finance and to equip them for further study in more advanced topics and modules in finance.
• Explain the functions of capital markets in the economy, the ways in which economic activity is financed and implications for the flow of funds, and the role of the stock exchange in this process.
• Explain basic techniques of financial analysis, especially the valuation of simple securities, including shares, bonds and money market investments.
• Examine investment decision rules.
• Discuss issues pertaining to risk and the opportunity cost of capital.
• Explain how corporations finance capital expenditure via equity or debt.
• Examine a number of additional issues such as agency problems, market efficiency, payout policy, risk management, financial planning, and mergers.

The aims of this module are:

• To introduce basic concepts and methods of probability theory.
• To provide the requisite theoretical background for later probability and statistics modules.

The aims of this module are:

• To give a rigorous introduction to the analytical theory underpinning calculus for functions of one real variable.
• To develop the basic ideas of real analysis in several variables.

The aims of this module are:

• To introduce fundamental statistical concepts.
• To introduce statistical methods and associated theory for design and analysis of studies and experiments.
• To develop statistical software skills.
• To reinforce skills regarding the interpretation of statistical analyses.

The aims of this module are to introduce students to modern concepts and methods of combinatorics and graph theory.

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.

The aims of this module are:

• to develop logical skills
• to provide students with an appropriate language for the study of mathematics
• to introduce different types of mathematical proof

The aims of this module are:

• To introduce the main ideas and techniques of the qualitative theory of ODEs and the calculus of variations.
• To teach students how to apply these ideas and techniques to the study of systems of ODEs and variational problems.

The aims of this module are to introduce the basic ideas of kinematics and particle dynamics, connecting the mathematics with physical applications.

A part aim for this module is to enable students to become aware of and develop their academic, professional and personal skills through Personal Best. Personal Best is a development programme available to all students at Loughborough University.

The aim of this module is to introduce students to the classical results in the theory of analytic functions of a complex variable.

The aim of this module is to give a grounding in the central ideas of topology, sufficient for the main applications in geometry, analysis and mathematical physics.

The aims of this module are to introduce the students to the basic notions and methods of classical analytical dynamics.

The aims of this module are:

• to introduce fundamental statistical modelling concepts
• to introduce associated theories for statistical inference
• to develop statistical software skills
• to reinforce skills regarding the interpretation of statistical analyses

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.

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.

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.

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.

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.

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.

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.

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.

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

The aim of this module is to provide students with fundamental methods of classical number theory and some of its diverse applications.

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.

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.

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.

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.

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.

This is a 10 credit module from the University-wide language programme.

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.

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.

The aim of this module is to explore fundamental algebraic structures and their connection to solving equations.

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.

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

The aims of this module are:

• that students gain familiarity with linear ODEs with non-constant coefficients
• to introduce linear PDEs with constant and non-constant coefficients

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.

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.

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

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

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.

The aim of this module is to investigate physical phenomena that involve vibrations and waves using appropriate mathematical tools.

The aim of the module is to develop economic skills to analyse strategic interaction among firms in imperfectly competitive markets or regulated industries.

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.

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.

This is a 10 credit module from the University-wide language programme.