Mathematics MMath (Hons) DPS/DIntS
Master
In Loughborough
Description
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Type
Master
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Location
Loughborough
Overview
Our MMath Mathematics course provides a balanced study of the most important aspects of maths so that you can achieve a thorough understanding of the fundamentals to help prepare you for a successful career.
Over the first two years of the MMath Mathematics course, guided by the expertise of Loughborough's academic staff, you will gain broad coverage of the core aspects of mathematics, including analysis, linear algebra, geometry, probability and statistics, complex variables, mechanics and calculus of variations.
The final two years of the MMath enables you choose modules in pure and applied mathematics from a range of options, as well as developing your research skills undertaking your own mathematics projects.
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Subjects
- Probability
- GCSE Mathematics
- Network Training
- Systems
- School
- Geometry
- Algebra
- Calculus
- Mechanics
- Mathematics
- Statistics
- Network
- Computing
- Options
Course programme
What you'll study
The MMath and BSc courses in Mathematics are the same over years 1 and 2. The BSc course presents a balanced study of the most important aspects of mathematics so that you achieve a thorough understanding of the fundamentals of the subject, while the greater depth of the MMath course will prepare you for a career in research.
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
- Year 3
- Final year
Areas studied include mathematical methods, analysis, linear algebra, geometry, computing and numerical methods, probability and statistics, 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.
Areas studied include algebra, analysis, complex variables, mathematical methods, differential geometry and topology, probability, and calculus of variations.
You will usually choose three optional modules from a wide range of topics in pure and applied mathematics and statistics. Up to two modules taught by other Departments in the University may be included.
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.
Rings and polynomials Core
Rings and polynomials
Introduction to Differential Geometry Core
Introduction to Differential Geometry
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.
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.
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.
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.
Elements of Topology Core
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.
Advanced Numerical Methods Optional
Advanced Numerical Methods
Introduction to Stochastic Processes Optional
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 Optional
Statistical Modelling
The aim of this module is to show how statistical methods can be used to construct models relating a characteristic of interest to a set of explanatory, or predictor, variables.
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
Open Part B level module from the School of Business and Economics Optional
Open Part B level module from the School of Business and Economics
Areas studied include a variety of options in pure and applied mathematics and statistics, and a mathematics project.
You will usually choose ten optional modules from a wide range of topics in pure and applied mathematics, statistics and mathematical physics. Up to two modules taught by other Departments in the University may be included.
Semester 1
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.
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.
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.
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.
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.
Introduction to Algebraic Geometry Optional
Introduction to Algebraic Geometry
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.
Cryptography and Network Security Optional
Cryptography and Network Security
Mathematics MMath (Hons) DPS/DIntS