Semester 1 & 2
Compulsory
Advanced Sport Biomechanics
The aim of this module is for the student to develop an understanding of theoretical and experimental approaches to biomechanical analyses underpinned by the relationships between forces, motion, and the human musculoskeletal system during dynamic activities in sport.
Optional modules
Advanced Motor Control of Sport Movements
The aim of this module is for students to demonstrate a more advanced and critical understanding of the theoretical and practical approaches to the study of human movement control with particular reference to sports movements.
Applied Physiology of Sport Performance
The aim of this module is for students to demonstrate a more advance and critical understanding of the physiological limitations to performance in sport and the characteristics that determine elite sport performance.
Physiology of Exercise and Health
The aim of this module is for students to demonstrate a more advanced and critical understanding of the physiological and metabolic underpinnings of exercise as a therapy to prevent and manage chronic metabolic disease.
Semester 1
Optional
Asymptotic Methods
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.
Introduction to Dynamical Systems
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.
Introduction to Algebraic Geometry
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
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.
Number Theory
The aim of this module is to provide students with fundamental methods of classical number theory and some of its diverse applications.
Operational Research
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.
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 and continuous time models.
- To give students a solid theoretical background in the derivatives industry in discrete and continuous time models.
University-wide Language Programme
This is a 10 credit module from the University-wide language programme.
Semester 2
Optional
Advanced Complex Analysis
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.
Computational Methods in Finance
This module aims to:
- Introduce numerical methods and associated theory for modelling of financial options.
- Teach students how to implement such numerical methods on computers.
- Gain experience in interpreting numerical results.
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
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.
Linear Differential Equations
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
Mathematical Biology
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.
Medical Statistics
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.
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.
Representation Theory
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
Statistics for Large Data
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
Studies in Science and Mathematics Education
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.
Vibrations and Waves
The aim of this module is to investigate physical phenomena that involve vibrations and waves using appropriate mathematical tools.
Applied Psychology in Competitive Sport
The aims of this module are for students to demonstrate a more advanced and critical understanding of the psychological approaches, issues, strategies, and skills that are relevant in applied practice; and to explore the professional characteristics and vocational skills required of an effective sport and exercise psychologist.
University-wide Language Programme
This is a 10 credit module from the University-wide language programme.