MMath (Hons) Mathematics

Attend an open day How to apply
Attend an open day How to apply

Overview

The MMath is an integrated four-year undergraduate masters course that gives you a detailed understanding of a range of mathematics, statistics and operational research topics. You’ll also be able to take units to develop your computational skills in our research areas of differential equations and dynamical systems, and computational fluid dynamics. Alternatively, you can take units to develop your skills in data analytics and statistics.

You’ll also become adept at using an array of mathematical software, which can be applied to solving problems in the real world.

Our areas of study are broad and include pure mathematics, mathematical software, statistics, operational research, financial mathematics, number theory and cryptography, mathematics for computer graphics, numerical methods for solving differential equations, mathematical modelling, dynamical systems and chaos theory.

As you progress through your maths degree you’ll be able to choose from a range of subjects that reflect your interests and career aspirations, culminating in a chance to apply your learning in project work.

In the fourth year, you’ll tackle a masters-level project, developing your critical analysis skills as you apply your mathematical knowledge to a major piece of independent work. You’ll also be able to take units to develop your computational skills in our research areas of differential equations and dynamical systems, computational fluid dynamics, data analytics and statistics.

Features and Benefits

  • The five-year sandwich route gives you the opportunity to spend your third year on an industry placement, before returning to the University to complete the rest of your degree.
  • Our excellent facilities include fourteen teaching laboratories equipped with high-specification PCs with specialist, industry-standard software running on either Windows or Linux operating systems.
  • You’ll gain in-depth knowledge of mathematical software packages for use in solving real-world problems.
  • All our degree courses are approved by the Institute of Mathematics and its Applications.
  • Our mathematics courses also have significant commonality in the first two years enabling you to transfer between courses at the end of year one or year two.
“There's lots of opportunities available in Manchester and with the University. I took part in the Tomorrow's Mathematicians Today 2017 Conference, and was awarded the best paper prize for my project on computational techniques for sparse mathematics." Jamie Glaves, MMath (Hons) Mathematics

Accreditations, Awards and Endorsements

“Like most Mathematicians, I am passionate about the subject and really enjoy applying mathematical techniques to solve real world problems. Passing on this knowledge and enthusiasm to students and seeing them develop their skillset is extremely satisfying.” 

Dr Jon Shiach, Principal Lecturer in Mathematics

Career Prospects

A degree in mathematics opens a wide range of career paths, from accountancy, business and management services, to financial services, statistics, computing and computational modelling. The skills and experience you’ll develop with us are also in demand by employers in areas like teaching, engineering, insurance and project management. You can take final year units in computational mathematics or data analytics and statistics, in each case linked to real-world examples to make you highly employable.

Learn more about graduate careers

Entry requirements

UCAS tariff points/grades required

112-120

A levels ­– BBC-BBB, to include grade C in Mathematics.

Equivalent qualifications will be considered in combination with A level in Mathematics at grade C or above.

UCAS Tariff points from Extended Project (EPQ) will be counted towards overall points score when achieved at grade C or above. Other AS levels (or qualifications equivalent to AS level) are not accepted.

Please contact the University directly if you are unsure whether you meet the minimum entry requirements for the course.

Specific GCSE requirements

GCSE grade C/4 in English Language or Level 2 Functional Skills English

and

GCSE grade C/4 in Mathematics or Level 2 Functional Skills Mathematics

and

GCSE grade C/4 in Science or BTEC Level 2 in Applied Science with grade merit

The level 2 requirements may also be met through the level 3 course requirements for the course; please contact the University directly if you require further information.

Non Tariffed Qualifications

Pass Access to HE Diploma in Mathematics with a minimum score of 112 UCAS Tariff points.

International Baccalaureate points

26 IB Diploma Points including HL 5 in Mathematics

IELTS score required for international students

6.0 overall with no individual element below 5.5

There’s further information for international students on our international website if you’re applying with non-UK qualifications.

Course details

Study mathematics with us and you’ll graduate a problem solver, creative thinker and innovator – skills that are highly sought-after in both the commercial and academic worlds. A mathematics degree is a key that opens many doors to a wide range of paths and possibilities, from accountancy, business and management services, to financial services, statistics, computing and computational modelling – all areas in which your aptitude and ability will be highly rewarded.

The Department of Computing and Mathematics has a reputation for academic excellence and you’ll learn from research-active staff working at the forefront of their specialist fields – well placed to support and guide you as you discover yours.

We aim to give our maths students an experience to remember and we know we’re getting it right. How? Because they’ve told us – for two years running BSc (Hons) Mathematics has been nominated for Course of the Year at the Manchester Met Students’ Union Teaching Awards.

We have an industrial advisory board which helps to shape our curriculum so that it keeps pace with the demands of employers. It all adds up to a positive student experience, workplace-relevant learning and excellent prospects for the future.

Topics may include calculus, linear algebra, discrete mathematics, probability theory, statistics, decision mathematics, graduate development and employability. You will learn how to program in a mathematical language and be introduced to a number of mathematical software packages. Please note that the following list of units is indicative and may be subject to change.

Read more about this year of study

Core Units

Linear Algebra and Programming Skills

This unit extends the work on matrices and vectors that you will have met previously and introduces you to programming with MATLAB®. It covers topics such as vectors, matrices and the design and implementation of MATLAB programs.

Probability Theory and Statistics

This unit teaches you basic statistics in a style that will prepare you for second year work, making use of relevant statistical software. It covers descriptive statistics, probability and statistical applications. 

Graduate Development and Employability

This unit provides students with a range of essential skills to ensure that students are adequately prepared for undergraduate study and to enhance their employability attributes.

Discrete Mathematics

This unit studies the logic, set-theory, function and number concepts necessary for understanding mathematics.

Decision Mathematics

The unit provides an introduction to operational research and its methodology. It covers topics on methodology and modelling, linear programming, non-linear optimisation, project planning, decision trees, financial calculations and an introduction to graphs and networks to include minimal spanning trees and shortest path algorithms and maximal flow.

Calculus

This unit studies single-variable calculus and associated topics in analysis. Calculus and analysis underpin many other areas of mathematics and applications in mathematical modelling. The use of proof and different proof techniques are studied throughout the unit.

Topics may include further calculus and linear algebra, numerical methods, mathematical modelling, statistics, stochastic methods in operational research, financial mathematics, number theory,  cryptography, computer graphics and computational mathematics.

Read more about this year of study

Core Units

Mathematical Modelling and Employability Skills

The unit provides an introduction to mathematical modelling, supported by relevant software and also enhances the students’ employability skills, such as communication, teamwork, planning and organising.

Numerical Methods

This unit provides an introduction to a range of numerical methods making use of relevant software.

Further Linear Algebra

This unit further develops the linear algebra from the first year, which has its basis in matrices and vectors and is a fundamental branch of Mathematics with a wide range of applications in finance, cryptography, computing and more.

Multi-variable Calculus and Analytical methods

This unit extends the calculus to functions of several variables and studies other analytical methods such as Laplace transforms and Fourier series.

Option Units

Number Theory and Cryptography

An examination of number theory focusing on results concerning modular arithmetic and prime numbers. An introduction to cryptography and how aspects of number theory are applied there.

Statistics and Financial Mathematics

This unit develops statistical techniques and introduces formal methods of inference and estimation. It introduces interest rate calculations, portfolio modelling and option pricing, with reference to the stochastic nature of asset prices. 

Topics may include coding theory, dynamical systems, chaos theory, the computational methods of differential equations, operational research, group theory, machine learning, optimisation, advanced statistics and financial methods and a mathematics project. Please note that the following list of units is indicative and may be subject to change. If you opt for the five-year sandwich route your third year will be spent on placement.

Read more about this year of study

Core Units

Mathematics Project or Mini Projects

Mathematics Project

This unit gives you an opportunity to apply your mathematical knowledge to a major piece of independent work and develop your critical analysis. You normally select project choices from a list of project descriptions produced by academics and your project coordinator will allocate a suitable supervisor and a project description to you. You must develop your project description, which tend to be generic and indicative in content, into a Terms of Reference. You will specify aims, objectives, methodology and timetable for completion and this must be approved by your supervisor.

Mathematics Mini-Projects

This unit provides you with the opportunity to apply your mathematical knowledge to a set of four mathematical topics and present your results. The mini projects are offered as an alternative to the individual mathematics project unit and provides you with a more structured means of developing similar skills, such as the ability to break down unfamiliar problems and to be aware of the limitations of the analyses that you undertake.

Option Units

Applied Regression and Multivariate Analysis

This unit extends your knowledge of statistical techniques and deepens your understanding of statistical modelling by introducing a range of models which may be fitted to data commonly encountered in the real world.

Group Theory

This unit provides an introduction to group theory and a thorough investigation of the basic theory of groups and their isomorphisms, the classification of Abelian groups, the Sylow theorems and the classification of groups of low order.

Financial Mathematics and Time Series Analysis

This unit gives a firm grounding in many aspects of financial mathematics and time series analysis, introducing a range of modelling techniques and applying them to data commonly found in the real world.

Advanced Operational Research

This unit covers topics such as selected elements from inventory control, job-shop scheduling, correctness proofs for scheduling algorithms, dynamic programming, non-linear optimisation, mathematical programming formulations, advanced simulation and algorithm theory.

Numerical Methods for Partial Differential Equations

The unit provides an introduction to numerical techniques for solving partial differential equations and the application to fluid flow problems. It covers the background and theory of finite difference and finite volume methods.

Computational Methods in Ordinary Differential Equations

The unit covers a broad range of computational methods for the solution of stiff and non-stiff systems of ODEs, together with the related computational linear algebra with an emphasis on the efficiency of methods and their applications.

Dynamical Systems and Chaos

This unit extends your knowledge of mathematical modelling and deepens your understanding of dynamical systems theory with applications using MATLAB. It covers the following areas: recurrence relations and iteration, fractals, neuronal systems, ordinary differential equations in one, two and three-dimensions, bifurcations and numerical integration in non-smooth dynamical systems and MATLAB and Simulink.

Typical units of study may include advanced Ordinary Differential Equations and dynamical systems, computational modelling of fluid flow, statistical learning, business statistics and a masters level mathematics project. Please note that the following list of units is indicative and may be subject to change.

Read more about this year of study

Core Units

Mathematics Masters Project

In this unit, students undertake a major piece of independent work which will apply and advance their mathematical knowledge and critical analysis skills to a topical research problem relevant to current research activity within the School. A focus on employability is embedded within the unit, specifically the use of soft skills, giving oral and poster presentations and writing reports.

Option Units

Advanced Ordinary Differential Equations and Dynamical Systems

This unit is concerned with advanced computational methods for ordinary differential equations and dynamical systems. MATLAB is used as the computational tool. You will study examples of real world applications from a broad range of disciplines including mathematics, physics, chemistry, biology, engineering and economics. Key themes include mathematical modelling, numerical and symbolic solutions of systems of ordinary differential equations, stability analysis and interpretation of results, understanding and explaining the behaviour of both the computational methods and the physical problems.

Computational Modelling of Fluid Flow

The unit considers a range of advanced computational techniques for solving the governing equations of fluid dynamics, including:

  • Background and theory: introduction to compressible and incompressible flow, the Navier-Stokes equations and simplifications in the potential and Stokes flow limits, analytical solutions for simplified flow problems.
  • Advanced finite volume methods: explicit/implicit schemes, mesh generation, boundary conditions, solutions of the incompressible Navier-Stokes equations, application to unsteady flows with complex geometries, post-processing simulation results with visualisation software.
  • Smoothed particle hydrodynamics: Lagrangian descriptions of fluid motion, interpolation theory and particle discretisation, construction of smoothing kernels, boundary conditions, application to unsteady free-surface flows.
Statistical Learning

Data analysis has been transformed in recent years through the huge increase in data collection and advances in computational methods. This has led to rapidly evolving methods in statistics, data science and computer science. This unit introduces modern approaches to computational data analysis and advanced statistical modelling with a blended focus on theory and applications, including big data analysis, inference and prediction. Throughout the unit, real-world applications will be presented in computer lab sessions with the use of statistical software.

Business Statistics

This is an applied statistics unit with a particular emphasis upon contemporary applications in accounting and finance.

Assessment weightings and contact hours

10 credits equates to 100 hours of study, which is a combination of lectures, seminars and practical sessions, and independent study. A 3 year degree qualification typically comprises of 360 credits (120 credits per year). The exact composition of your study time and assessments for the course will vary according to your option choices and style of learning, but it could be:

Study

Year 1 25% lectures, seminars or similar; 75% independent study
Year 2 25% lectures, seminars or similar; 75% independent study
Year 3 20% lectures, seminars or similar; 80% independent study
Year 4 15% lectures, seminars or similar; 85% independent study

Assessment

Year 1 55% coursework; 45% examination
Year 2 55% coursework; 45% examination
Year 3 55% coursework; 45% examination
Year 4 70% coursework; 30% examination

Placement options

The full-time five-year sandwich route offers the chance to spend a year getting a taste of professional life. If you choose to go down this route, your degree will take an extra year, with the third year spent working in industry. These optional placements not only give you the opportunity to develop your core skills and experience, but also show employers that you’re ready to get to work. Graduate employers report that students who have been on placement tend to be more mature, better organised and better able to apply their skills in a structured way.

Department of Computing and Mathematics

Our Department of Computing and Mathematics is a vibrant community of staff and students, which prides itself on internal and external collaboration.

The department is committed to teaching and research that addresses societal challenges through disciplines like artificial intelligence, big data, computational fluid dynamics, cyber security, dynamical systems, the internet of things, smart cities, robotics and virtual reality.

More about the department

Taught by experts

Your studies are supported by a team of committed and enthusiastic teachers and researchers, experts in their chosen field. We also work with external professionals, many of whom are Manchester Met alumni, to enhance your learning and appreciation of the wider subject.

Meet our expert staff

Fees

UK, EU and Channel Island students

UK, EU and Channel Island students: Full-time fee: £9,250 per year. This tuition fee is agreed subject to UK government policy and parliamentary regulation and may increase each academic year in line with inflation or UK government policy for both new and continuing students.

Non-EU international students

Non-EU international students: Full-time fee: £16,500 per year. Tuition fees will remain the same for each year of your course providing you complete it in the normal timeframe (no repeat years or breaks in study).

Additional Information

A degree typically comprises 360 credits, a DipHE 240 credits, a CertHE 120 credits, and an integrated Masters 480 credits. The tuition fee for the placement year for those courses that offer this option is £1,850, subject to inflationary increases based on government policy and providing you progress through the course in the normal timeframe (no repeat years or breaks in study). The tuition fee for the study year abroad for those courses that offer this option is £1,385, subject to inflationary increases based on government policy and providing you progress through the course in the normal timeframe (no repeat years or breaks in study).

Additional costs

Specialist Costs

£100

All of the books required for the course are available from the library. The University also has PC labs and a laptop loan service. However, many students choose to buy some of the core textbooks for the course and/or a laptop. Students may also need to print their assignments and other documents. Campus printing costs start from 5p per page. Estimated costs are £300 for a laptop and up to £100 each year for books and printing. Two bound copies of the project dissertation are required in the third and fourth year.

Placement Costs

0

Professional Costs

0

Other Costs

0

Funding

Find out more about financing your studies and whether you may qualify for one of our bursaries and scholarships.

Money Matters

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How to apply

You can apply for this course through UCAS.

Apply now

UCAS code(s)

8H16

Remember to use the correct institution code for Manchester Metropolitan University on your application: our institution code is M40

You can review our current Terms and Conditions before you make your application. If you are successful with your application, we will send you up to date information alongside your offer letter.

MANCHESTER IS YOUR CITY. BE PART OF IT.

Programme Review
Our programmes undergo an annual review and major review (normally at 6 year intervals) to ensure an up-to-date curriculum supported by the latest online learning technology. For further information on when we may make changes to our programmes, please see the changes section of our Terms and Conditions.

Important Notice
This online prospectus provides an overview of our programmes of study and the University. We regularly update our online prospectus so that our published course information is accurate. Please check back to the online prospectus before making an application to us to access the most up to date information for your chosen course of study.

Confirmation of Regulator
The Manchester Metropolitan University is regulated by the Office for Students (OfS). The OfS is the independent regulator of higher education in England. More information on the role of the OfS and its regulatory framework can be found at officeforstudents.org.uk.

All higher education providers registered with the OfS must have a student protection plan in place. The student protection plan sets out what students can expect to happen should a course, campus, or institution close. Access our current Student Protection Plan.

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