Financial Mathematics BSc (Hons)

What you'll study

Excited to learn more? For a taster of what you can expect to study on our Financial Mathematics BSc (Hons) degree, take a sneak preview of some of the modules you may have the opportunity to study below.

The information below reflects the currently intended course structure and module details. Updates may be made on an annual basis and revised details will be published through Programme Specifications ahead of each academic year. Please see Terms and Conditions of Study for more information.

• Year 1
• Year 2
• Final year

Areas studied include mathematical methods, analysis, linear algebra, probability and statistics, and macro- and micro-economics.

Semester 1

Analysis 1 Core

Analysis 1

An introduction to the notion of convergence as this applies to sequences and series, this module provides a firm basis for future modules in which the idea of convergence is used.

Linear Algebra 1 Core

Linear Algebra 1

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.

Introductory Probability and Statistics Core

Introductory Probability and Statistics

A module to introduce the basic concepts of probability and statistics and illustrate the relevance of these concepts to practical problem solving.

Mathematical Methods 1 Core

Mathematical Methods 1

The aims of this module are to to introduce basic ideas of differential calculus and integration and provide practice in common techniques used in mathematical applications.

Semester 2

Mechanics Core

Mechanics

This module introduces the basic ideas of kinematics and particle dynamics, connecting the mathematics with physical applications.

Analysis 2 Core

Analysis 2

This module introduces the basic analytical theory of functions of one and several variables.

Linear Algebra 2 Core

Linear Algebra 2

Mathematical Methods 2 Core

Mathematical Methods 2

The aims of this module are: to introduce basic ideas of differentiation and integration in several variables and differential equations; to illustrate some of the connections between differential calculus and applications.

Semester 1 & 2

Principles of Macroeconomics Core

Principles of Macroeconomics

The aims of this module are to provide a sound, basic understanding of modern macroeconomics, its historical development and its application to theoretical and real world problems.

Principles of Microeconomics Core

Principles of Microeconomics

The aims of this module are to introduce how microeconomic methods of analysis are used to analyse and evaluate contemporary market systems.

Areas studied include probability theory, mathematical methods, analysis, statistical modelling, stochastic processes, finance, and macro- and micro-economics.

Semester 1

Analysis 3 Core

Analysis 3

The aims of this module are: to give the students some real understanding of mathematical concepts involved in higher dimensional calculus; to prove theorems involving functions in more than one dimension.

Mathematical Methods 3 Core

Mathematical Methods 3

This module provides an introduction to advanced mathematical methods underpinning mathematics-based programme and further practice in common techniques used in mathematical applications. It also introduces Fourier series and Laplace transforms.

Probability Theory Core

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.

Semester 2

Complex Variables Core

Complex Variables

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

Introduction to Stochastic Processes Core

Introduction to Stochastic Processes

The aims of this module are: to introduce students to stochastic processes;to use them to model some real world problems.

Statistical Modelling Core

Statistical Modelling

The aim of this module is to understand the theoretical and practical application of linear models in statistics, including the issues and approaches associated with model building. These models include the use of quantitative and categorical dependant variables, along with one or more quantitative and categorical predictor variables.

Semester 1 & 2

Intermediate Macroeconomics Core

Intermediate Macroeconomics

Intermediate Microeconomics Core

Intermediate Microeconomics

Introduction to Financial Economics Core

Introduction to Financial Economics

Areas studied include stochastic methods in finance, corporate finance and derivatives and financial economics and asset pricing.

Discrete Stochastic Methods in Finance Core

Discrete 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 time models; to give students a solid theoretical background in the derivatives industry in discrete time models.

Financial Economics and Asset Pricing Core

Financial Economics and Asset Pricing

Graph Theory Optional

Graph Theory

The aims of this module are to: introduce students to modern concepts and methods of combinatorics and graph theory; provide powerful advanced tools to students in probability, number theory, optimal control, algorithmic complexity etc, applicable to modelling of a wide range of phenomena.

Introduction to Differential Geometry Optional

Introduction to Differential Geometry

Introduction to Dynamical Systems Optional

Introduction to Dynamical Systems

Introduces the notions and methods of the theory of dynamical systems with an emphasis on its applications.

Number Theory Optional

Number Theory

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

Operational Research Optional

Operational Research

The aims of this module are to introduce students to the nature of operational research and its techniques and to study linear programming and network optimisation in detail with appropriate modelling techniques.

Rings and Polynomials Optional

Rings and Polynomials

Advanced Differential Equations Optional

Advanced Differential Equations

Advanced Numerical Methods Optional

Advanced Numerical Methods

Analytical Dynamics Optional

Analytical Dynamics

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

Continuous Stochastic Methods in Finance Core

Continuous Stochastic Methods in Finance

The aims of this module are: to introduce essential mathematics used in the financial industry; to introduce stochastic models to the prices of risky assets; to study option pricing and hedging portfolio in continuous time financial models.

Corporate Finance and Derivatives Core

Corporate Finance and Derivatives

Elements of Topology Optional

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.

Game Theory Optional

Game Theory

An introduction to the rigorous mathematical tools which are useful in economics analysis- to give students a solid mathematical background in game theoretic models.

Mathematical Biology Optional

Mathematical Biology

The aims of this module are: i) To introduce some mathematical models of biological systems and various techniques for analysing them; ii) To enable students to understand how mathematics can be used to model biological systems.

ODEs & Calculus of Variations Optional

ODEs & 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, and to apply these ideas and techniques to the study of systems of ODEs and variational problems.

Appropriate level Language module Optional

Appropriate level Language module

Economics of the Financial System Optional

Economics of the Financial System

Programme specification

Module specification