Jump to:


*Subject to revalidation

Please note, this course is not currently accepting applications for September 2023 entry.

  • Study a fascinating and challenging subject and develop skills that are in demand in a variety of exciting professional careers in accountancy, finance, banking, investment, business and IT
  • Develop your problem-solving skills using mathematical and statistical techniques in mathematical applications
  • A broad range of core modules ensures you have a strong understanding of key topics from which to develop your interests
  • Acquire the knowledge, understanding, technical skills and confidence to operate successfully in an international and globalised work environment

Mathematics is a truly universal language. It underpins our scientific, IT and engineering worlds, continually broadening our knowledge and leading us to game-changing discoveries. Without mathematics computers wouldn’t be able to defeat world chess champions, the whole artificial intelligence revolution would be a non-starter and transport networks would grind to a halt.

Our versatile Mathematics programme is designed to provide you with a sound basis of knowledge and skills in the main areas of mathematics and also a detailed understanding of abstract mathematical concepts, logical argument and deductive reasoning.

The course has been structured to introduce you to the major branches of mathematics and enable you to develop your understanding of the coherence, logical structure and wide applications of mathematics. 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.

Core modules in the first year include Algebra, Calculus, Statistics, Probability, and Mathematical Models. You build on these in Year 2 with modules such as Career Management, Mathematics for Finance, and Real and Complex Analysis.

In Year 3, you progress to Differential Equations and Statistical Modelling and carry out your own project tailored to your interests. Optional modules may include Advanced Algebra and Financial Mathematics.

If you choose to study mathematics at Winchester, your career opportunities are not only numerous, they’re also likely to be fairly well paid. The course allows you to develop the knowledge, understanding, technical skills and confidence to operate successfully in an international and globalised work environment.

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 the financial sector, engineering, teaching, health and medicine, business and IT.


Graduates of the BSc Mathematics programme will be able to enter a wide range of business careers in the public, private and third sectors. Opportunities exist in the banking, finance, accountancy and insurance sectors, in marketing and government research agencies and in the teaching and academic professions. 

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.


This programme will meet the educational requirements of the Chartered Mathematician designation, awarded by the Institute of Mathematics and its Applications, when it is followed by subsequent training and experience in employment to obtain equivalent competences to those specified by the Quality Assurance Agency (QAA) for taught masters degrees.

Our BSc (Hons) Mathematics programme will be seeking to renew this accreditation during 2022/23.

Pre-approved for a Masters

If you study a Bachelor Honours degrees with us, you will be pre-approved to start a Masters degree at Winchester. To be eligible, you will need to apply by the end of March in the final year of your degree and meet the entry requirements of your chosen Masters degree.

*Subject to revalidation

This course is subject to revalidation. 'Revalidation' is the process by which the University refreshes its existing provision. Revalidation assesses the quality and standards of the programme to ensure it continues to provide a distinct, high quality academic experience for students, enabling them to acquire the necessary academic knowledge, understanding, general and subject-specific skills required to pursue a graduate level career.


Suitable for applicants from:

UK, EU, World

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 etc.), 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: 288 hours
  • Independent learning: 912 hours
Year 3 (Level 6): Timetabled teaching and learning activity*
  • Teaching, learning and assessment: 216 hours
  • Independent learning: 984 hours

*Please note these are indicative hours for the course. 

At each level, lectures are utilised to stimulate interest in the modules, to define the syllabus and to guide students in their learning and development of critical analysis. In tutorials and problem classes the use of discussion groups, case studies, student-centred activities and multimedia presentations will encourage students' participation in the learning process and foster cohort identity, peer interaction and support. These activities are designed to develop students' specific subject knowledge and understanding and to increase their ability and capacity to analyse and critically evaluate. The learning and teaching strategy is also designed to develop students' professional/vocational skills linked to time management, communication, problem solving and team work.

Further detail on the learning and teaching methods employed:

  • Lectures provide a framework for discussion of key concepts, research, theories and models relating to the field of mathematics and explore relationships between these and their application in practice.
  • Seminars and problem classes provide students the opportunity to work in small groups on activities which are designed to apply theory to practice and analyse and evaluate implications. Case studies, problem-based and real time problems are incorporated into seminar activities. 
  • Presentations from guest speakers including professionals from industry and academic researchers.
  • Individual and group projects to encourage collaborative working. 
  • Student presentations
  • Guided and supported independent study and research.


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.


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
  • 59% written exams
  • 1% practical exams
Year 2 (Level 5)*:
  • 45% coursework
  • 55% written exams
  • 0% practical exams
Year 3 (Level 6)*:
  • 75% coursework
  • 25% written exams
  • 0% practical exams

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


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



2023 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.

In addition to level 3 study, the following GCSE’s are required:

  • GCSEs in Mathematics 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

Additional requirements

Direct entry to Levels 5 is available to students demonstrating the required level of technical skills and subject knowledge. This will be evidenced by, and dependent upon, the module content studied and the grades achieved. Students are normally required to have achieved grades at least equivalent to a 2:2 classification in all Mathematics modules studied prior to the level of entry.


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
  • Advanced Analysis - 30 credits
  • Vector Calculus - 30 credits
  • Predictive Data Analytics - 15 redits
  • Employment Experience 
  • Abstract Algebra - 30 credits
  • Statistical Methods  - 30 credits

Year 3 (Level 6)

Modules Credits

Final Year Project and Seminar 30

To provide students with experience of the skills required to undertake independent research projects. To offer students a birds-eye view of several cutting-edge mathematics and statistics research topics by attending seminars at Winchester and, where possible and relevant, nearby institutions.This course is, roughly, divided into two parts: the first one entails a first course on mathematical modelling while the second part focuses on numerical methods and their implementation with MATLAB.

The mathematical modelling half of the course focuses on an introduction to mathematical modelling by exploring: the fundamentals of Newton’s laws and motion in a central field; Markov Chains; and Game Theory. The latter half is concerned mainly with numerical methods for solving linear equations and finding solutions to ODEs and PDEs.

  • Optimisation Techniques 30 Credits
  • Volunteering for Mathematicians 15 Credits
  • Strategic Analytics 15 Credits
  • Strategic Forecasting and Simulation 15 Credits
  • Vector Calculus 15 Credits
  • Advanced Analysis 15 Credits
  • Predictive Data Analytics 15 Credits
  • Fundamentals of Surrogate Modelling 15 Credits
  • Number Theory 15 Credits
  • Advanced Linear Algebra 15 Credits
  • Philosophy of Mathematics 15 Credits
  • Cryptography 15 Credits
  • Machine Learning 15 Credits
  • Statistical Methods 30 Credits
  • Abstract Algebra 30 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.

2023 Course Tuition Fees

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


Year 1 £9,250 £14,700
Year 2 £9,250 £14,700
Year 3 £9,250 £14,700
Total £27,750 £44,100
Optional Sandwich Year* £1,385 £1,440
Total with Sandwich Year £29,135 £45,540

If you are a UK student starting your degree in September 2023, the first year will cost you £9,250**. Based on this fee level, the indicative fees for a three-year degree would be £27,750 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 £122.50 and a 15 credit module is £1,837.

* 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:


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 (black and white) 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.


Core texts: It is recommended that students purchase the latest editions of all of the core textbooks. Many of these texts relate to extensive online material for which you require an access code supplied with the textbook. It is possible for students to purchase second-hand copies where applicable. Indicative cost is £50 - £200 per academic year.

Volunteering and placements: Students may incur travel costs on optional volunteering placements in the second or third year of study. Indicative cost is £5 - £30 per day. 

Formal wear: Students may be expected to dress formally for oral assessments. Costs will vary depending on the students existing wardrobe. Indicative cost is £0 - £50. 

Software: Students may wish to buy MATLAB for use at home. This will be optional, as all necessary software will be available on some computers at the university. Alternatively, should students wish to use specialist software at home, there are free alternatives to MATLAB available. Indicative cost is £30 - £60. 


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 page.

Key course details

UCAS code
3 years full-time; 6 years part-time
Typical offer
104-120 points
On campus, Winchester