Mathematics with Economics BSc (Hons) DPS/DIntS

What you'll study

Our Mathematics with Economics BSc (Hons) degree is designed to provide you with a thorough grounding in fundamental mathematics while also exploring the fascinating field of economics.

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 & 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.

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.

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.

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.

Semester 2

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

Mechanics Core

Mechanics

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

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.

Areas studied include probability theory, complex variables, mathematical methods, stochastic processes, statistical modelling, and optional modules including macro- and micro-economics and econometrics.

Semester 1

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.

Analysis 3 Optional

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.

Applied Statistics Optional

Applied Statistics

The aims of this module are: to introduce statistical methods and associated theory for design and analysis of experiments; to reinforce statistical software skills; to reinforce skills regarding the interpretation of statistical tests.

Rings and Polynomials Optional

Rings and Polynomials

Mathematical Thinking Optional

Mathematical Thinking

A module to support the development of your logical skills and provide you with the appropriate language for the study of mathematics, as well as introducing different types of mathematical proof.

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.

Computing and Numerical Methods Optional

Computing and Numerical Methods

The aims of this module are to introduce elementary numerical methods and associated theory, to teach students how to implement numerical methods on the computer and to gain experience of interpreting numerical results.

Introduction to Econometrics Optional

Introduction to Econometrics

Semester 1 & 2

Intermediate Macroeconomics Optional

Intermediate Macroeconomics

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

Intermediate Microeconomics Optional

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.

Appropriate level Language module Optional

Appropriate level Language module

Areas studied include topics chosen from all areas of mathematics and economics.

Semester 1

Analysis 3 Optional

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.

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.

Introduction to Differential Geometry Optional

Introduction to Differential Geometry

Rings and Polynomials Optional

Rings and Polynomials

Applied Statistics Optional

Applied Statistics

The aims of this module are: to introduce statistical methods and associated theory for design and analysis of experiments; to reinforce statistical software skills; to reinforce skills regarding the interpretation of statistical tests.

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.

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.

Discrete Stochastic Methods in Finance Optional

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.

Applied Econometrics Optional

Applied Econometrics

The aim of this module is to develop an understanding of more advanced econometrics techniques for time-series, cross-section and panel data.

Developments in Macroeconomics Optional

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 Optional

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.

Semester 2

Advanced Numerical Methods Optional

Advanced Numerical Methods

Studies in Science & Mathematics Education Optional

Studies in Science & Mathematics Education

The aim of the module is to develop a range of skills in the student and to offer an early taste of teaching to those interested in pursuing it, or a related field, as a career.

Advanced Differential Equations Optional