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COURSE OVERVIEW 

  • Join a contemporary programme designed to suit the current and future job market
  • Benefit from small class sizes with a low student to staff ratio
  • Gain valuable industry experience on an optional Sandwich year work placement
  • Develop your problem-solving skills using mathematical and statistical techniques in mathematical applications
  • Acquire the knowledge, understanding, technical skills and confidence to operate successfully in an international and globalised work environment

Are you seeking a modern four-year integrated masters programme that allows you to immerse yourself into exceedingly advanced and cutting-edge mathematics?

Our MMath programme has been structured to introduce you to the major branches of mathematics and enable you to develop your understanding of its coherence, logical structure and wide variety of applications. You also discover the values of research and in-depth study using mathematical tools and resources, and have opportunities to model various phenomena and interpret numerical data.

Led by an outstanding and accessible team of research-active academics, you will gain exposure to the world of the pure and abstract where sophisticated applied mathematical techniques will provide you with a holistic mathematics education.

Our programme shares its core modules with our BSc, ensuring that you have a strong understanding of key topics from which to develop your interests, while its final year is intended to give you a glimpse into more advanced mathematics and its applications. And there is no shortage of fascinating and challenging modules to encounter, including Group Theory, Number Theory, Real Analysis, and Graph Theory, as well as modules on Optimisation Techniques, Statistical Methods, Artificial Intelligence and Cryptography. In addition, as part of your final year, you will undertake an independent research project that interests you in the form of a Master’s Thesis.

Core modules in the first year include Linear Algebra with Differential Equations, Calculus, Probability and Statistics, Algorithms and Computer Programming, Analysis and Discrete Mathematics. You build on these in Year 2 with modules such as Numerical Methods, Abstract Algebra, Career Management, Mathematics for Finance, and Real and Complex Analysis.

In Year 3, you progress to Statistical Modelling and carry out your own project tailored to your interests. Optional modules may include Machine Learning, Fundamentals of Surrogate Modelling, Advanced Linear Algebra, and Philosophy of Mathematics, among others. In your final year you will complete a dissertation and seminar.

Careers

Mathematics is a multi-faceted discipline and its skills, such as problem-solving, rigorous argument and effective communication, are greatly in demand in a range of employment sectors. Rewarding professional careers await you in a wide range of sectors including finance, engineering, teaching, health, research, data analysis, medicine, business and IT.

The University of Winchester ranks in the top 10 in the UK for graduates in employment or further study according to the Graduate Outcomes Survey 2021, HESA.

Integrated Masters

An Integrated Masters is a four-year, full-time programme consisting of three years of study at undergraduate degree level followed by one year of study at Masters level, usually with increased emphasis on professional relevance.

For those programmes where an Integrated Masters option is available, you may exit the programme at the end of three years (full-time) and graduate with a Bachelor degree with Honours or, subject to reaching a suitable standard of achievement, may proceed to the fourth year studying at Masters level (Level 7).

ABOUT THIS COURSE

Suitable for Applicants from:

UK, EU, World

Work Placements

You will have the opportunity to undertake an optional sandwich year, either between years 2 and 3, or years 3 and 4. 

Learning and Teaching

Our aim is to shape 'confident learners' by enabling you to develop the skills needed to excel in your studies here and as well as onto further studies or the employment market.                      

You are taught primarily through a combination of lectures and seminars, allowing opportunities to discuss and develop your understanding of topics covered in lectures in smaller groups.

In addition to the formally scheduled contact time such as lectures and seminars, you are encouraged to access academic support from staff within the course team, your personal tutor and the wide range of services available to you within the University.

Independent learning

Over the duration of your course, you will be expected to develop independent and critical learning, progressively building confidence and expertise through independent and collaborative research, problem-solving and analysis with the support of staff. You take responsibility for your own learning and are encouraged to make use of the wide range of available learning resources available.

Overall workload

Your overall workload consists of class contact hours, independent learning and assessment activity

While your actual contact hours may depend on the optional modules you select, the following information gives an indication of how much time you will need to allocate to different activities at each level of the course.

Year 1 (Level 4): Timetabled teaching and learning activity*

Teaching, learning and assessment: 432 hours
Independent learning: 768 hours

Year 2 (Level 5): Timetabled teaching and learning activity*

Teaching, learning and assessment: 276 hours
Independent learning: 924 hours

Year 3 (Level 6): Timetabled teaching and learning activity*

Teaching, learning and assessment: 252 hours
Independent learning: 936 hours
Placement: 12 hours

Year 4 (Level 7): Timetabled teaching and learning activity*

Teaching, learning and assessment: 180 hours
Independent learning: 1020 hours

*Please note these are indicative hours for the course.

Key features of the student experience are the effective use of real world business applications in the classroom, including stock market simulations and accounting software packages. There are numerous talks given by guest speakers from practice discussing topical business issues. Students on the programme are encouraged to undertake year long work experience placements which are structured training programmes that are monitored and supported by the Winchester Business School. There are also opportunities for students to participate in national and international business competitions such as the Charted Institute of Management Accountants (CIMA) Global Business Challenge and the Winchester Research Apprentice Scheme. The latter gives students the opportunity to work alongside an academic member of staff on a live funded research project.

Location

Taught elements of the course take place on campus in Winchester

Teaching hours

All class based teaching takes places between 9am – 6pm, Monday to Friday during term time. Wednesday afternoons are kept free from timetabled teaching for personal study time and for sports clubs and societies to train, meet and play matches. There may be some occasional learning opportunities (for example, an evening guest lecturer or performance) that take places outside of these hours for which you will be given forewarning.

Assessment

Our validated courses may adopt a range of means of assessing your learning. An indicative, and not necessarily comprehensive, list of assessment types you might encounter includes essays, portfolios, supervised independent work, presentations, written exams, or practical performances.

We ensure all students have an equal opportunity to achieve module learning outcomes. As such, where appropriate and necessary, students with recognised disabilities may have alternative assignments set that continue to test how successfully they have met the module's learning outcomes. Further details on assessment types used on the course you are interested in can be found on the course page, by attending an Open Day or Open Evening, or contacting our teaching staff. 

Percentage of the course assessed by coursework

The assessment balance between examination and coursework depends to some extent on the optional modules you choose. The approximate percentage of the course assessed by different assessment modes is as follows:

Year 1 (Level 4)*:

40% coursework
58% written exams
2% practical exams

Year 2 (Level 5)*:

53% coursework
47% written exams
0% practical exams

Year 3 (Level 6)*:

87% coursework
13% written exams
0% practical exams

Year 4 (Level 7)*:

81% coursework
16% written exams
3% practical exams

*Please note these are indicative percentages and modes for the programme.

Feedback

We are committed to providing timely and appropriate feedback to you on your academic progress and achievement in order to enable you to reflect on your progress and plan your academic and skills development effectively. You are also encouraged to seek additional feedback from your course tutors.

Further information 

For more information about our regulations for this course, please see our Academic Regulations, Policies and Procedures. 

 

 

ENTRY REQUIREMENTS

2022 Entry: 104-120 UCAS tariff points, including an A level A*-C pass in Mathematics.

Our offers are typically made using UCAS tariff points to allow you to include a range of level 3 qualifications and as a guide, the requirements for this course are equivalent to:

  • A-Levels: BCC-BBB from 3 A Levels or equivalent grade combinations (e.g. BBB is comparable to ABC in terms of tariff points)
  • BTEC/CTEC: DMM from BTEC or Cambridge Technical (CTEC) qualifications
  • International Baccalaureate: To include a minimum of 2 Higher Level certificates at grade H4
  • T Level: Merit in a T Level

In addition to the above, we accept tariff points achieved for many other qualifications, such as the Access to Higher Education Diploma, Scottish Highers, UAL Diploma/Extended Diploma and WJEC Applied Certificate/Diploma, to name a few. We also accept tariff points from smaller level 3 qualifications, up to a maximum of 32, from qualifications like the Extended Project (EP/EPQ), music or dance qualifications. To find out more about UCAS tariff points, including what your qualifications are worth, please visit UCAS.

For 2022 entry, in addition to level 3 study, the following GCSE’s are required:

GCSEs in Mathematics at grade 5 or C, or higher and English Language at grade 4 or C, or higher. Functional Skills at level 2 is accepted as an alternative, however Key Skills qualifications are not. If you hold another qualification, please get in touch and we will advise further.

From 2023 entry, in addition to level 3 study, the following GCSE’s are required:

GCSEs in Mathematics at grade 5 or higher and English Language at grade 4 or C, or higher. Functional Skills at level 2 is accepted as an alternative, however Key Skills qualifications are not. If you hold another qualification, please get in touch and we will advise further.

If English is not your first language, a formal English language test will most likely be required and you will need to achieve the following:

  • IELTS Academic at 5.5 overall with a minimum of 5.5 in all four components (for year 1 entry)
  • We also accept other English language qualifications, such as IELTS Indicator, Pearson PTE Academic, Cambridge C1 Advanced and TOEFL iBT.

If you will be over the age of 21 years of age at the beginning of your undergraduate study, you will be considered as a mature student. This means our offer may be different and any work or life experiences you have will be considered together with any qualifications you hold. UCAS have further information about studying as a mature student on their website which may be of interest. 

Course Enquiries and Applications

Telephone: +44 (0) 1962 827234
Send us a message

International Students

International students seeking additional information about this programme can send an email to International@winchester.ac.uk or call
+44 (0)1962 827023

Visit us

Explore our campus and find out more about studying at Winchester by coming to one of our Open Days.

 

Year 1 (Level 4)

Modules Credits

Calculus 20

In the first half of the module A-Level Calculus is revisited from a more rigorous viewpoint. In the second half of the module the student is introduced to the main ideas and techniques of differential and integral calculus of functions of two or more variables.

Linear Algebra with Differential Equations 20

In this course students develop an understanding of the basic theory, applications and connections of linear algebra and differential equations. Topic include vector spaces, matrices, determinants, linear transformations, eigenvectors, first order ordinary differential equations, second order linear differential equations and systems of differential equations. The tools of logic, as well as foundational material on sets and functions that are required are introduced in the first part of the module.

Algorithms and Computer Programming 20

Programming in a high-level computer language. Applications of algorithms to problems in various areas of discrete mathematics. The student will be exposed to a rigorous and thorough treatment of algorithms and their implementation. Particular attention will be paid to applications to graph theory and number theory.

Probability and Statistics 20

This module aims to lay foundations in probability and distribution theory, data analysis and the use of statistical software, which will be built upon in later modules. It begins by defining probability via axioms and develops some of its useful properties. Random variables are introduced, and the properties of probability used to develop distributions of practical importance. Statistical analysis is introduced with simple ideas of summarising data (implemented in R). Basic ideas of statistical inference (including techniques of estimation, confidence intervals and hypothesis testing) are also covered and applied to data sets.

Analysis 20

The aim of this course is to introduce the student to the rigorous treatment of real mathematical analysis. The course begins with the Axiom of Completeness, and its equivalents, and it is followed by the construction of a rigorous theory of limits and applications to the notion of convergence. The second part of the course is focused on the development and appreciation of classical results in real analysis and their implementation to simple examples. The course culminates by exposing some topological aspects of the real line developed from the notion of limits and convergence.

Discrete Mathematics 20

The aim of this course is to provide the student with a bird’s-eye view of several mathematical topics within the spectrum of discrete mathematics. The student will be exposed to the basics of mathematical logic and set theory, graph theory, number theory and combinatorics, and the numerous interactions thereof.

Year 2 (Level 5)

Modules Credits

Numerical Methods 30

This module is, roughly, divided into four parts.

  • The first half is concerned with manipulating vectors and matrices in MATLAB and solving equations of the type f(x) = 0: Vectors, Functions, and Plots in Matlab, Matlab Programs, Newton's Method and Loops, Controlling Error and Conditional Statements, the Bisection Method and Locating Roots, Secant Methods and Symbolic Computations.
  • The second part entails a good overview of linear algebra: Linear Systems – LU Decomposition, Iterative solution of linear systems, Nonlinear Systems - Newton's Method, Eigenvalues and Eigenvectors, Principal Component Analysis.
  • The third part focuses on modelling functions and data: Polynomial and Spline Interpolation, Least Squares Fitting / Noisy Data, Numerical Integration, Functions of Two Variables, Gaussian Quadrature, Numerical Differentiation and Dealing with the main sources of error.
  • The last part entails a clear and concise course on differential equations: Reduction of Higher Order Equations, Euler Methods, Multi-step Methods, ODE Boundary Value Problems, Finite Differences for both Linear and Nonlinear ODE, Parabolic and Elliptic PDEs, Solution Instability for the Explicit Method and the Finite Element Method.
Optional Modules
  • Statistical Methods - 30 Credits
  • Advances Analysis - 30 Credits
  • Vector Calculas - 30 Credits
  • Abstract Algebra - 30 Credits
  • Value Studies module - 15 Credits
  • Predictive Data Analytics - 15 Credits

Optional Credits

Numerical Methods 30

This module is, roughly, divided into four parts.

  • The first half is concerned with manipulating vectors and matrices in MATLAB and solving equations of the type f(x) = 0: Vectors, Functions, and Plots in Matlab, Matlab Programs, Newton's Method and Loops, Controlling Error and Conditional Statements, the Bisection Method and Locating Roots, Secant Methods and Symbolic Computations.
  • The second part entails a good overview of linear algebra: Linear Systems – LU Decomposition, Iterative solution of linear systems, Nonlinear Systems - Newton's Method, Eigenvalues and Eigenvectors, Principal Component Analysis.
  • The third part focuses on modelling functions and data: Polynomial and Spline Interpolation, Least Squares Fitting / Noisy Data, Numerical Integration, Functions of Two Variables, Gaussian Quadrature, Numerical Differentiation and Dealing with the main sources of error.
  • The last part entails a clear and concise course on differential equations: Reduction of Higher Order Equations, Euler Methods, Multi-step Methods, ODE Boundary Value Problems, Finite Differences for both Linear and Nonlinear ODE, Parabolic and Elliptic PDEs, Solution Instability for the Explicit Method and the Finite Element Method.
Optional Modules
  • Statistical Methods - 30 Credits
  • Advances Analysis - 30 Credits
  • Vector Calculas - 30 Credits
  • Abstract Algebra - 30 Credits
  • Value Studies module - 15 Credits
  • Predictive Data Analytics - 15 Credits

Year 3 (Level 6)

Optional Credits

Optional modules
  • Optimisation Techniques - 30 Credits
  • Volunteering for Mathematicians - 15 Credits
  • Advanced Linear Algebra - 15 Credits
  • Number Theory - 15 Credits
  • Machine Learning - 15 Credits
  • Philosophy of Mathematics - 15 Credits
  • Fundamentals of Surrogate Modelling - 15 Credits
  • Value Studies module - 15 Credits
  • Strategic Analytics - 15 Credits
  • Strategic Forecasting and Simulation - 15 Credits

Year 4 (Level 7)

Modules Credits

MMath Dissertation 40

The dissertation is the ultimate stage of the MMath programme and is designed to offer opportunities for research into a specific topic chosen by the student within a subject area appropriate to the programme of study. The title and research area have to be approved in advance by the research supervisor and programme team. Dissertations must include either original fieldwork (primary research) or an extensive and critical analysis of existing data (secondary research) relevant to the learning outcomes of the programme. Supervision of the dissertation is by means of tutorials, which will follow initial group seminars to discuss the nature, aims and outcomes of the dissertation module.

Optional Modules
  • Metric Spaces - 20 Credits
  • Topics in Pure Mathematics - 20 Credits
  • Multivariate Statistics - 20 Credits
  • Advanced Numerical Methods - 20 Credits
  • Quantitative Research Principles and Methodology - 20 Credits
  • Science Communication - 20 Credits
  • Applications of Mathematics in Life Sciences - 20 Credits
  • Finite Element Analysis - 20 Credits

Optional Credits

MMath Dissertation 40

The dissertation is the ultimate stage of the MMath programme and is designed to offer opportunities for research into a specific topic chosen by the student within a subject area appropriate to the programme of study. The title and research area have to be approved in advance by the research supervisor and programme team. Dissertations must include either original fieldwork (primary research) or an extensive and critical analysis of existing data (secondary research) relevant to the learning outcomes of the programme. Supervision of the dissertation is by means of tutorials, which will follow initial group seminars to discuss the nature, aims and outcomes of the dissertation module.

Optional Modules
  • Metric Spaces - 20 Credits
  • Topics in Pure Mathematics - 20 Credits
  • Multivariate Statistics - 20 Credits
  • Advanced Numerical Methods - 20 Credits
  • Quantitative Research Principles and Methodology - 20 Credits
  • Science Communication - 20 Credits
  • Applications of Mathematics in Life Sciences - 20 Credits
  • Finite Element Analysis - 20 Credits

Please note the modules listed are correct at the time of publishing, for full-time students entering the programme in Year 1. Optional modules are listed where applicable. Please note the University cannot guarantee the availability of all modules listed and modules may be subject to change. For further information please refer to the terms and conditions at www.winchester.ac.uk/termsandconditions.
The University will notify applicants of any changes made to the core modules listed above.

Progression from one level of the programme to the next is subject to meeting the University’s academic regulations.

2022 Course Tuition Fees 

 UK / Channel Islands /
Isle of Man / Republic of Ireland

International

Year 1 £9,250 £14,100
Year 2 £9,250 £14,100
Year 3 £9,250 £14,100
Year 4 £9,250 £14,100
Total £37,000 £56,400
Optional Sandwich Year* £1,385 £1,385
Total with Sandwich Year £38,385 £57,785

If you are a UK student starting your degree in September 2022, the first year will cost you £9,250**. Based on this fee level, the indicative fees for a four-year degree would be £37,000 for UK students.

Remember, you don't have to pay any of this upfront if you are able to get a tuition fee loan from the UK Government to cover the full cost of your fees each year. If finance is a worry for you, we are here to help. Take a look at the range of support we have on offer. This is a great investment you are making in your future, so make sure you know what is on offer to support you.

UK Part-Time fees are calculated on a pro rata basis of the full-time fee for a 120 credit course. The fee for a single credit is £77.08 and a 15 credit module is £1,156. Part-time students can take up to a maximum 90 credits per year, so the maximum fee in a given year will be the government permitted maximum fee of £6,935.

International part-time fees are calculated on a pro rata basis of the full-time fee for a 120 credit course. The fee for a single credit is £117.50 and a 15 credit module is £1,763.

* Please note that not all courses offer an optional sandwich year. To find out whether this course offers a sandwich year, please contact the programme leader for further information.

**The University of Winchester will charge the maximum approved tuition fee per year.

ADDITIONAL COSTS

As one of our students all of your teaching and assessments are included in your tuition fees, including, lectures/guest lectures and tutorials, seminars, laboratory sessions and specialist teaching facilities. You will also have access to a wide range of student support and IT services.

There might be additional costs you may encounter whilst studying. The following highlights the mandatory and optional costs for this course:

Optional

Core Text:
Multiple copies of core text are held within the library and e-books are identified where possible. However, due to limited availability, students are recommended to purchase a copy for their own use. It is possible for students to purchase second-hand copies. Indicative cost: £100.

Printing and Binding: 
The University is pleased to offer our students a printing allowance of £5 each academic year. This will print around 125 A4 mono pages. If students wish to print more, printer credit can be topped up by the student. The University and Student Union are champions of sustainability and we ask all our students to consider the environmental impact before printing.

Basic Laptop:
Indicative cost is £200-£500.

SCHOLARSHIPS, BURSARIES AND AWARDS

We have a variety of scholarship and bursaries available to support you financially with the cost of your course. To see if you’re eligible, please see our Scholarships and Awards.

Key course details

UCAS code
GG15
Duration
4 years full-time; 8 years part-time
Typical offer
104-120 points
Location
On campus, Winchester