Mathematics with Statistics BSc (Hons) DPS/DIntS

What you'll study

Our Mathematics with Statistics BSc (Hons) degree is distinctive in offering a substantial statistics and probability component in addition to training in the fundamentals of applied and theoretical mathematics. Students on the course will learn the statistics programming language, and have the opportunity to undertake a final year project.

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

Year 1

Areas studied include mathematical methods, analysis, linear algebra, geometry, probability and statistics, computational and numerical methods, and mechanics.

Semester 1 & 2

Computing and Numerical Methods Core

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.

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 Thinking Core

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.

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

Geometry and Groups Core

Geometry and Groups

The aims of this module are: to develop further some concepts of linear algebra towards applications in geometry; to introduce the elements of group theory; to study basic examples of groups.

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.

Year 2

Areas studied include analysis, mathematical methods, complex variables, probability theory, applied statistics, and statistical modelling.

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.

Applied Statistics Core

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 tests.

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.

Rings and Polynomials Optional

Rings and Polynomials

Introduction to Mathematics Education Optional

Introduction to Mathematics Education

The aims of this module are to:introduce students to what it means to learn and teach mathematics; encourage them to reflect critically on their own experiences ; consider issues that are central to effective education in mathematics.

Introduction to Differential Geometry Optional

Introduction to Differential Geometry

Semester 2

Communicating Mathematics Core

Communicating Mathematics

The module aims to develop students' ability to communicate mathematical content clearly and in a manner that is appropriate to the target audience.

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.

ODEs & Calculus of Variations Core

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; to teach students how to apply these ideas and techniques to the study of systems of ODEs and variational problems.

Analytical Dynamics Optional

Analytical Dynamics

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

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.

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.

Semester 1 & 2

Part A or B level module from School of Science Optional

Part A or B level module from School of Science

Appropriate level Language module Optional

Appropriate level Language module

Final year

Areas studied include medical statistics or stochastic analysis, further topics chosen from all areas of pure and applied mathematics and statistics, and a statistics project.

Semester 1

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.

Operational Research Core

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.

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 Dynamical Systems Optional

Introduction to Dynamical Systems

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

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.

Cryptography and Network Security Optional

Cryptography and Network Security

The aims of this module is to make the student aware of the problems of network and e-commerce security, and to expose them to current best defence strategies.

Formal Languages & Theory of Computation Optional

Formal Languages & Theory of Computation

This module aims to prepare students for research careers, further computing-related studies in Higher Education and work in the software development industries by providing insights into the mathematical theory of formal languages.

Introduction to Mathematics Education Optional

Introduction to Mathematics Education

The aims of this module are to:introduce students to what it means to learn and teach mathematics; encourage them to reflect critically on their own experiences ; consider issues that are central to effective education in mathematics.

Semester 2

Continuous Stochastic Methods in Finance Core

Continuous Stochastic Methods in Finance