Mathematics (Foundation Entry) MMath

Mathematics (Foundation Entry) MMath

School of Physical Sciences and Computing




Under- graduate



Contact UCLan

University of Central Lancashire
Preston, PR1 2HE, United Kingdom

Tel: +44 (0)1772 892400

  • Duration:

    Five years (six years with industrial placement)

  • Level:


  • Delivery:

    Campus, Full-time

  • UCAS Code:

    G678; Short form:

  • Campus:

    Preston (Campus code: U)

  • Start Date:


  • Award Type:


Why study this course?

During your Foundation Entry Year you will study alongside peers from related courses, whilst you gain a broad introduction to modern mathematics. You will develop your basic mathematical skills on this course which comprises core aspects of algebra, analysis and calculus, along with a range of optional specialist modules such as cryptology and mathematical biology. You’ll be taught by research-active staff who are also members of the Jeremiah Horrocks Institute within the School. The Institute of Mathematics and Its Applications (IMA) run regular public seminars at UCLan so you can broaden your knowledge and learn additional applications of mathematics. At the end of the foundation year you can progress onto the mathematics degree, or onto a degree in physics, astrophysics, engineering, or computing, depending on your choice of optional modules.


Entry Requirements

Our typical offer is 72 UCAS Points. We operate a flexible admissions policy and treat everyone as an individual. This means that we will take into consideration your educational achievements and predicted grades (where applicable) together with your application as a whole, including work experience and personal statement. General Studies accepted.

BTEC Extended Diploma: Merit, Merit, Pass
BTEC Diploma: Distinction, Merit
Pass Access Course: 72 UCAS Points
International Baccalaureate: Pass Diploma with 72 UCAS points from Higher Level Subjects
IELTS: 6.0 with no score lower than 5.5
GCSE: 5 at grade C/4 including English, and Maths GCSE at Grade A

For changes to 2017 UCAS tariff entry requirements please see our important information. UCLan requires all undergraduate applicants to have a minimum attainment of five GCSEs at grade C and above, or equivalent, (including Maths and English). In 2017 and beyond we will view the new Grade 4 as being equivalent to a C grade and will therefore require students to achieve GCSE Grade 4 or above. However, if the subject is relevant to our degree programme and requires a higher GCSE grade (e.g. GCSE B grade), and/or includes a Professional body that governs the entry requirements, Grade 5 or above may be required.

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Course at a Glance

Year 1

Compulsory Modules

  • Foundation Mathematics 1
  • Foundation Mathematics 2
  • Foundation Mathematics 3
  • Foundation Mathematics 4


Optional Modules

The Physics Group

  • Foundations of Applied Physics
  • Motion, Forces, and Force Fields
  • The Road to Quantum Mechanics

The Computing Group:

  • Introduction to Software Development
  • Investigating IT
  • Study Skills: Developing Academic Skills

Year 2 and 3

Compulsory modules

  • Introduction to algebra and linear algebra
  • Introduction to real analysis
  • Functions, vectors and calculus
  • Introduction to mechanics
  • Computational mathematics
  • Introduction to probability and statistics

Compulsory modules

  • Algebraic structures
  • Further real analysis
  • Ordinary differential equations


  • Cryptology
  • Vector calculus
  • Lagrangian and Hamiltonian mechanics
  • Numerical analysis
  • Further statistics

For sandwich award:

  • Mathematics Industrial Placement Year

Year 4 and 5

Compulsory modules

  • Fields and Galois Theory
  • Complex analysis
  • Partial differential equations and integral transforms


  • Logic
  • Fluid dynamics
  • Mathematical biology
  • Advanced numerical analysis
  • Time series and operational Research

Optional modules

  • Advanced Algebra
  • Graph Theory
  • Topology
  • Stability, instability and chaos
  • Mathematics of waves
  • Special topics
  • UAS Mathematics Teaching Placement
  • Mathematics Modelling

Further Information


The mathematics course will help you to develop a range of important skills that will make you attractive to employers. These include:

  • Analytical skills
  • Communication skills
  • Investigative skills
  • Learning skills
  • Problem-solving skills
  • Self-management
  • Team work

At the end of the mathematics course, you will be ready for a career in any one of a vast range of industries, including:

  • Finance, banking and insurance
  • Business consultancy and operational research
  • Defense and military industries
  • Space science and astronomy
  • Natural and life sciences, medicine and health
  • IT industries, computing and engineering
  • Education
  • Art, design and music

Travel Opportunities

UCLan has travel money available each year for student groups who wish to have an international travel experience. Students propose itineraries for the trips, and bid for university funds to cover the cost. The trips must contain an educational component, but are also expected to have an international cultural element.

Public Seminars

As well as accrediting the MMath Mathematics degree, the Institute of Mathematics and Its Applications (IMA) also holds regular public seminars at UCLan. These develop students’ broader knowledge of mathematics and introduce them to additional applications of mathematics in a variety of specialist areas.

Further Study

Students graduating from the mathematics programme are equipped with skills that prepare them for postgraduate study, and may progress on to MSc degrees and PhDs. In addition, every year, PhD studentships are available within UCLan.

Maths Society

UCLan Maths Society is open to students from all courses and provides the opportunity to solve mathematical problems, attend maths-related events and to socialise with people who share a passion for maths.

Team Building

Previous first year students have benefited from being taken on a residential team building course in North Wales early in the first semester. This is an opportunity to get to know the students and staff in first year, and build friendships which will last throughout your studies. The course also starts to develop transferable skills such as team work and communication which are important to employers, as well as being useful throughout your degree.

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Sandwich Placement Year

This course offers an optional 48-week sandwich placement in industry – this comes between the second and third years. You are responsible for finding your own placement. We will support you in preparation for this with the Faculty Placement Team and UCLan Careers, who can help you plan and develop your CV and applications, and have practice interviews.

Placements are an invaluable opportunity to help consolidate your first two years learning, gain experience, and radically enhance your employability. The benefit of the experience gained during a placement is often evident in improved performance in the final year of the course, and when competing for graduate jobs.

A placement is invaluable to your development as a person and a developer, no matter in which field it is. I see no reason why you wouldn’t want to boost your CV above the rest and earn some amazing life and work experience while doing it. I met some amazing people whilst on placement, as well as doing some really meaningful and interesting work.”  - Ryan Sheff, Industry placement student

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Each summer there are opportunities to take part in UCLan’s funded undergraduate research internship scheme. This involves students being paid to spend the summer working closely with a member of staff on a research project. Students experience what it is like to undertake cutting edge research, developing a variety of skills which are highly valued by employers. Students present their work to their peers in a poster session at the end of the internship.

My internship at UCLan provided me with an insight into the research environment. Being exposed to work beyond lectures and assignments was a breath of fresh air, and allowed me to experience a taste of life as a research student.
I was given time and resources to explore areas of mathematics I had no idea even existed which catapulted my enthusiasm for the subject even further, cementing my desire to pursue postgraduate education.

Thomas Kirk, BSc (Hons) Mathematics 2015 graduate and current PhD student


At UCLan we offer a third year teaching placement module (Undergraduate Ambassador Scheme - UAS) to enable students to get a taste of teaching and to provide experience necessary for teacher training applications. There are many other opportunities to work with schools and younger students and develop key teaching skills. UCLan mathematics students have been very successful in securing placements in schools and teacher training places after graduation. In 2018 three of our placement students won prestigious IMA Mathematics Teacher Training Scholarships. Read more


For detailed information about studying this course at UCLan, please see the course handbook for your year of entry:

For information on possible changes to course information, see our Important Information.

Fees 2020/21

Full-time: The fee for the first year of the course will be £5,500 (UK/EU). Fees for years 2 to 4 will be £9,250* (UK/EU) per year

*Tuition Fees are per year unless otherwise stated.

Further information:

For 2019/20 fees please refer to our fees page.

Scholarships and bursaries

Professional Accreditation

The MMath programme offered at UCLan has been accredited by the Institute of Mathematics and Its Applications (IMA) to meet the educational requirements of the Chartered Mathematician designation.

IMA logo

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My mathematics degree ... allowed me to pursue a career in mathematics education ... teaching at the level that I had always hoped for.

My lecturers were inspiring, enthusiastic and friendly.

One of the highlights of my mathematics degree was the great choice of options, my favourite being mathematical biology.

'Rhys Morgan'