Semester 1 & 2

Optional

Algebra

More information to follow.

Computing and Numerical Methods

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.

Intermediate Macroeconomics

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

Intermediate Microeconomics

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.

Introduction to Econometrics

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.

Introduction to Financial Economics

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.

Semester 1

Compulsory

Calculus II

More information to follow.

Probability Theory

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.
Optional

Analysis II

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.

Applied Statistics

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.

Graph Theory

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

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.

Mathematical Thinking

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

Semester 2

Compulsory

ODEs and Calculus of Variations

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.

Mechanics

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.

Optional

Complex Analysis

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

Elements of Topology

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.

Analytical Dynamics

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

Statistical Modelling

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