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Mathematics Foundation Year

Foundation Year

School - School of Computing, Science & Engineering

Subject area - Mathematics

UCAS Code: G105 for Mathematics with Foundation Year; GN12 is for Financial Mathematics with Foundation Year

Start Date(s): September


Year one of a four year degree


UK - £8,250 for Foundation Year, then standard UG fee per year.

In Brief:

  • Improve your competences in essential mathematics
  • Learn to identify,analyse and solve real-world problems
  • Ideal route to study for a mathematics degree if you have the passion and enthusiasm but lack the qualifications for direct entry

Course Summary

This foundation year course will advance your mathematics knowledge and skillset. Providing the basis for further study on our highly-rated mathematics degree programmes, this course is the first step towards a lucrative and in-demand career as a mathematician.

Based on the A-level system, this intensive academic programme will improve your competences in mathematics. Delivered through a range of lectures and tutorials, you will learn to identify, define and evaluate real-world problems, using applied mathematics to challenge conventional ideas.   

Taught on campus by our academic staff, you will gain the capabilities to take your passion for mathematics further. A key course benefit is your seamless entry to either of our highly-rated BSc Mathematics and BSc Financial Mathematics degree programmes.

We believe this progressive course offers long-term rewards that will shape your future. As you gain and develop knowledge during this extra foundation year, you will be well-positioned to refine your mathematical skillset and take your honours degree – and future career- to the highest level.

Course Details

This course will focus on applied mathematics relevant to a future career in business and industry. You will be encouraged to identify, define, evaluate, analyse and solve problems – many of which come from regular industry guest lectures that provide you with real case studies.

The modules you will study in this foundation year are designed to improve your competences in essential mathematics  On successful completion of the foundation year, you will have the automatic right to proceed onto the first year of the following undergraduate courses:

BSc (Hons) Mathematics

BSc (Hons) Financial Mathematics

As a Salford mathematics graduate, we will equip you with valuable transferable skills. You will be exceptionally numerate and have the confidence to apply mathematical methods across a range of industries, including engineering, computing, business and finance.

Modules include:  

This module will cover algebra, calculus, vectors and geometry.
This module will explore mechanics, electricity and magnetism, and thermodynamics.
This module will introduce some core mathematics equivalent to A-level, including basic probability and statistics.
This module will introduce some essential academic skills including, spreadsheets, communication skills, writing essays, conducting research projects/papers and problem-based learning exercises.

Please note that it may not be possible to deliver the full list of options every year as this will depend on factors such as how many students choose a particular option. Exact modules may also vary in order to keep content current. When accepting your offer of a place to study on this programme, you should be aware that not all optional modules will be running each year. Your tutor will be able to advise you as to the available options on or before the start of the programme. Whilst the University tries to ensure that you are able to undertake your preferred options, it cannot guarantee this.

Entry Requirements

Qualification Entry requirements
You must fulfil our GCSE entry requirements as well as one of the requirements listed below.
English Language and Maths at grade C or above. 4 in Maths and English.
UCAS tariff points 72 UCAS points from any subject combination. 64 UCAS points where qualifications include both Mathematics and Physics at A-level.
GCE A level 72 UCAS points from any subject combination. 64 UCAS points where qualifications include both Mathematics and Physics at A-level.
BTEC Higher National Diploma MMP for any subject; MPP for engineering or science.
Scottish Highers 72 UCAS Tariff points (new system) from any subject combination. 64 UCAS tariff points where qualifications include both Mathematics and Physics to A-level standard.
Irish Leaving Certificate 72 UCAS Tariff points (new system) from any subject combination. 64 UCAS Tariff points where qualifications include both Mathematics and Physics to A-level standard.

Accreditation for Prior Experiential Learning (APEL)

We welcome applications from students who may not meet the stated entry criteria but who can demonstrate their ability to pursue a programme of study in higher education.

Students who do not meet traditional entry requirements might qualify to apply  through the Salford Alternative Entry Scheme. Assessment will allocated to complete either a review of prior learning or through a formal test - the University can provide support for the written assessment.

Additional Entry Requirement Information

Applicants must satisfy both the University’s General Entry Requirement and the specific entry requirements as per course detailed below.

General Entry Academic Requirements

The General Entry Academic Requirements are as per the University’s Admissions and Retention Policy detail for

  • Foundation Certificate/level 3 of CertHE/DipHE/Bachelor’s Degree/Integrated Master’s programmes.

English Language Requirements

This course is not suitable for international applicants.

Applicant profile

You will be a high-calibre student and keen to go on to study mathematics at degree level. You will be looking for a qualification that will give you business skills as well as studying pure mathematics, potentially enabling you to enter a wider range of careers.

This foundation course is positioned for:  

  • students with the ambition and capability to study for a mathematics degree but lack the qualifications for direct entry 
  • students seeking a change of direction into sciences
  • mature students with workplace experience

We positively welcome applications from students who have relevant industry experience even if they do not meet the stated entry criteria. Students who do not have formal entry qualifications are required to sit a written assessment to assess their suitability for the course.

Fees and Funding


Fees 2019-20

Type of Study Fee
Full-time £8,250 for Foundation Year, then standard UG fee per year.

Fees 2018-19

Type of Study Fee
Full-time £6,165

Please view the relevant degree programme under the 'Course Details' tab to view the fees for the remaining years of your course.

You should also consider further costs which may include books, stationery, printing, binding and general subsistence on trips and visits.


Teaching is delivered using a variety of approaches:  

  • Lectures  -  normally a presentation or talk on a particular subject, usually delivered by one of your lecturers or visiting academics.  
  • Tutorials and seminars -  group or individual discussions that strengthen your learning on a particular topic or project, and provide an opportunity to receive direct class-based feedback about your work.
  • Workshops - problem-based learning exercises that involve the use of computers and IT, and explore basic practical skills and analytical skills to perform topical open ended investigations.
  • To complement these methods, online learning material and module assessment is made available via the University’s virtual learning system.  

    Group assignments and team-based projects enable you to work with a range of diverse people in innovative ways.


    You will be assessed through a range of different methods, including:

    • Exams: these are normally two hours in duration and aim to test material presented in lectures, workshops and seminars
    • Research project presentation:  as an individual or group presentation of the final outcome to a particular assignment or brief
    • Coursework and continuous assessment: which will include class tests, reports and evaluations

    The Physics modules use 50% coursework / 50% exam weighting, most other modules use 30% coursework / 70% exams criteria.


    Please refer to full degree pages as listed under 'Course Details' for more information about employability relating to the relevant degree that you complete.

    Career Prospects

    When you complete the foundation year, you can progress to a choice of mathematics degree courses that will open up diverse and rewarding careers paths.  Mathematics graduates are in demand in diverse sectors including banking, investment analysis, data analyst, statistician, insurance underwriter, secondary school teacher, actuarial analyst, meteorologist and operational researcher.

    Alumni Profile

    Mathematics graduate Sherry Zhang, on how she came to study Mathematics:

    My decision to study Maths in Higher Education was for one simple reason: I love Mathematics! That’s because it involves many essential skills, such as numerical, logical, analysis skills etc. I applied to Salford because the course includes various kinds of mathematical modules, like numerical analysis, statistical modelling, tensor algebra and fluid dynamics, from theories to practical problems in the real world. My qualification at Salford enabled me to go on to a career in Actuarial Science. This deals with the formulas and models behind the insurance products and risk assessments. I apply lots of knowledge I learnt at Salford, especially from Year 3. I am well prepared for my further studies and future professional exams from Institute and Faculty of Actuaries (IFoA). I am now employed by Aviva and work as an Actuarial Advisor.

    Links with Industry

    The programme is  focused on applied mathematics relevant to your future career in business and industry. Regular guest lectures from industry will form the basis of real-world case studies for you to solve. 

    We encourage you to complete a placement year in industry where you can develop your practical and theoretical knowledge. Successful completion of an industrial placement year, which you arrange with our support, will add 'with Professional Experience' to your final Mathematics degree title – after successful completion of your year 3 (4 with placement) final year.

    Further Study

    MSc Data Science

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