The aims of this module are:

• To introduce the notion of convergence as this applies to sequences and series.
• To introduce the notion of continuous function of one real variable.
• To provide a firm basis for future modules in which the idea of convergence and continuity is used.
• To help students recognize the necessity and power of rigorous argument.

The aim of this module is to develop the students' understanding of the structure, function and homeostatic regulation of the human body with reference to integumentary, skeletal, muscular, nervous, cardiovascular, respiratory, digestive, immune, endocrine and reproductive systems.

The aims of this module are to develop students' theoretical and practical understanding of the mechanics of human motion, especially as related to sporting performance; and the anatomical structures of the body and the ways that the muscular and skeletal systems interact during motion.

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.

The aims of this module are to:

• Introduce students to the basic concepts of probability and statistics.
• Illustrate the relevance of these concepts to practical problem solving.

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.

The aim of this module is to develop students' understanding of some of the key concepts underpinning the psychology of sport and exercise participation and performance.

The aim of this module is to further students' understanding of the acute physiological responses to exercise and chronic physiological adaptations to exercise and training in humans and how these responses are regulated. The influence of environmental factors and fatigue on physiological processes are also examined. A further aim is to develop students' practical laboratory/experimental skills in human and exercise physiology.

The aims of this module are for the student to:

• develop an understanding of the mechanical principles governing human movement
• be introduced to the mathematical modelling of sports movements
• be introduced to biomechanical data acquisition techniques and their use in mechanical analysis of sports movements

The aim of this module is to develop students' understanding of key theoretical and practical factors governing the acquisition and performance of human movement skills.

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.

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

The aims of this module are to:

• raise students' awareness of the nature of mathematics and how this can affect learning and teaching
• 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

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

The aim of this module is to further students' understanding of the major psychological determinants and perceptual-cognitive factors underpinning sport expertise.

The aim of this module is to develop further the main concepts of linear algebra.

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.

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

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.

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

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.

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.

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.

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.

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.

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.

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

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.

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

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.

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.

This is a 10 credit module from the University-wide language programme.

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.

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.

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.

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.

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

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.

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.

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.

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

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

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.

The aim of this module is to investigate physical phenomena that involve vibrations and waves using appropriate mathematical tools.

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.

This is a 10 credit module from the University-wide language programme.