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School of Engineering, Computing and Mathematics

BSc (Hons) Mathematics with Foundation Year

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UCAS tariff 32 - 48 Contextual offers
A contextual offer is an offer to study at university that takes personal circumstances that may affect grades into account.
UCAS course code G103
Institution code P60
Duration

4 years

(+ optional placement)
Course type

Full-time
Study location Plymouth

Do you have a passion to study mathematics, but lack the normal entry requirements for one of our honours degrees? Perhaps you've shown evidence of good academic potential, but don’t have sufficient qualifications or have been out of formal education for a while. This four-year degree route incorporates a foundation year, which will develop your skills in pure and applied mathematics, statistics and some computer programming.

Progression routes

After successfully completing the foundation year, you can progress onto:

Key features
  • Gain a solid background equivalent to A level Mathematics, plus part of Further Mathematics and an introduction to computer programming. We explain how to solve problems, and also prove the mathematical results and rules that we use to give you a deeper understanding.
  • You are taught on campus by University lecturers: you are a member of our University’s mathematics community from the start.
  • An average mark of at least 50% in your foundation year entitles you to progress to the first year of any of our range of mathematics degrees. Please see above for your progression opportunities.
  • You have a great deal of available support including: a study room next to staff offices; our lecturers’ open door policy; a mathematics drop-in centre in the library; and additional peer learning sessions led by second and third year students.
  • Enjoy new facilities – state-of-the-art lecture theatres, computer laboratories, study and social spaces – in our
    £50 million teaching and research building that opened in 2023.
  • Leading research experts teach you: 68% of our research papers were classified as ‘world leading’ or ‘internationally excellent’ in the UK 2014 Research Excellence Framework.

Course details

  • Foundation year

  • During the one year foundation course, you’ll take five mathematics modules and one on computer programming. As well as fundamental methods, such as trigonometry and calculus, you'll study mechanics (which will introduce you to vectors) and statistics (using professional software).
    The course will improve your understanding of fundamental results, mastery of methods of proof and appreciation of mathematical writing. At the end of the year, you can transfer to any of our mathematics degrees provided you obtain an average mark of 50% or above.

    Core modules

    MATH055
    Mathematics I 20 credits

    This module is intended to provide a solid basis in advanced mathematics. Assuming a base of GSCE mathematics, the lectures move quickly to establish a solid appreciation of algebra, trigonometry, scientific functions and calculus. Topics studied will be: scientific notation; solving linear, quadratic and simultaneous equations; trigonometry; functions and their notation, including inverse and composite functions; and calculus.

    60% Examinations

    40% Coursework

    MATH056
    Mathematics II 20 credits

    This module builds on MATH055 to establish a solid basis in calculus, complex numbers, differential equations and numerical methods. Topics studied build upon those from MATH055 including the product and chain rules of differentiation and integration by parts and substitution.

    60% Examinations

    40% Coursework

    MATH058
    Applied Mathematics 20 credits

    This module provides an introduction to applied mathematics. The focus of the module is on the use of mechanics to solve basic problems of an engineering and scientific nature in the real world. Topics studied are: modelling; forces; vectors; kinematics in one and two dimensions; Newton's laws; moments and energy.

    50% Coursework

    50% Examinations

    MATH059
    Investigations in Mathematics 20 credits

    Students on this module will be introduced to a range of topics relevant to degree level study in mathematics and statistics and will investigate specific mathematical topics in more depth. During the course of the module, students will gain experience in both written and oral presentation of their work.

    50% Coursework

    50% Practicals

    PHYS051
    Physics II 20 credits

    This module continues the work in Physics I, providing an introduction to physics and its applications in science and engineering.

    60% Coursework

    40% Examinations

    SOFT053
    Computer Programming 20 credits

    This module introduces students to fundamental computer programming concepts, which allow information to be stored, processed and presented. It includes fundamental aspects of web-application development, persistent data storage (relational databases), user-interface design, and the use of an integrated-development environment (IDE).

    50% Coursework

    50% Tests

  • Year 2

  • Core modules

    BPIE113
    Stage 1 Mathematics Placement Preparation 0 credits

    The route to graduate-level employment is found easier with experience. These sessions are designed to assist students in their search for a year-long placement and in their preparation for the placement itself. Such placements are optional but strongly recommended.

    MATH1701
    Mathematical Reasoning 20 credits

    This module will introduce the basic reasoning skills needed for the development and applications of modern mathematics. It also introduces Python as a new tool for exploring and applying mathematics to real world problems. The importance of logical thinking will be investigated in various mathematical topics. This will include fundamental properties of prime numbers, their random generation and use in cryptography.

    60% Coursework

    40% Tests

    MATH1702
    Calculus 20 credits

    Calculus underpins mathematical modelling in science, finance and industry. This module gives students the ability to calculate accurately and efficiently. Key results are proven and calculus is extended to higher dimensions through partial differentiation and multiple integration. The methods covered in this module will be used by students throughout the rest of their degree.

    60% Examinations

    40% Coursework

    MATH1703
    Linear Algebra 20 credits

    Vectors and matrices are fundamental in mathematics, and central to its applications in statistics, physics, data science, and engineering. This module develops practical skills in handling vectors and matrices, explores the mathematical structure of linear spaces, and elucidates their deep connections with analytic geometry.

    60% Examinations

    40% Coursework

    MATH1704
    Analysis and Group Theory 20 credits

    In this module we explore two fundamental areas of pure mathematics. Analysis provides a rigorous foundation of calculus, while group theory introduces important algebraic structures that are used in many branches of pure mathematics and their applications. A rigorous approach will be taken in both topics, with emphasis on proof. Python will be used to illustrate and investigate cutting edge applications.

    60% Tests

    40% Coursework

    MATH1705
    Probability 20 credits

    An understanding of uncertainty and random phenomena is becoming increasingly important in daily life and in the modern workplace. The aim of this module is to develop the concept of chance in a mathematical framework. Random variables are introduced, with examples involving some common distributions, and the concepts of expectation, variance and correlation are investigated using mathematical tools.

    60% Examinations

    40% Coursework

    MATH1706
    Numerical Methods 20 credits

    In mathematics, solving most real world problems requires the use of computers. This module introduces computational mathematics and algorithms . Students will use mathematical software interactively and write programs in Python. The numerical methods which underlie industrial, scientific and financial applications will be studied.

    60% Examinations

    40% Coursework

The modules shown for this course are those currently being studied by our students, or are proposed new modules. Please note that programme structures and individual modules are subject to amendment from time to time as part of the University’s curriculum enrichment programme and in line with changes in the University’s policies and requirements.

Entry requirements

UCAS tariff

32 - 48

Contextual offers: Typically, the contextual offer for this course is 8 points below the advertised tariff. A contextual offer is an offer to study at university that takes into account individual circumstances that are beyond your control, and that can potentially impact your learning and your exam results, or your confidence in applying to university.

Check your eligibility for a contextual offer

A level: a minimum of 2 A levels.
BTEC: 18 Unit BTEC National Diploma/QCF Extended Diploma: PPP. 12 Unit BTEC National Certificate/QCF Diploma: PP
BTEC National Diploma modules: If you hold a BTEC qualification it is vital that you provide our Admissions team with details of the exact modules you have studied as part of the BTEC. This information enables us to process your application quickly and avoid delays in the progress of your application to study with us. Please explicitly state the full list of modules within your qualification at the time of application.
Access: Pass Access course (preferably from a science/technology subject) including GCSE English and mathematics grade C/4 or above, or equivalent. For candidates that do not have a science, electrical or technology background please contact: admissions@plymouth.ac.uk for further advice.
T level: Pass (D or E on the core) 72 points or above. Any subjects related to Science/Engineering/Health. Must have GCSE Maths grade C/4.
International Baccalaureate: 24 overall. English and mathematics must be included.
GCSE: Mathematics and English at grade C/4 or above.
Mature students with appropriate work experience are encouraged to apply. An informal discussion with an academic may aid the decision process and help you better prepare for the course. Other qualifications will be considered individually.
Students may also apply directly to BSc (Hons) Mathematics or any of our other mathematics degrees listed below on this page and they will be made an alternative offer of the foundation year if appropriate.
We welcome applicants with international qualifications. To view other accepted qualifications please refer to our tariff glossary .

Fees, costs and funding
2024-2025 2025-2026 *
Home £9,250 £9,535
International £18,100 £18,650
Part time (Home) £770 £795
Full time fees shown are per annum. Part time fees shown are per 10 credits. Please note that fees are reviewed on an annual basis. Fees and the conditions that apply to them shown in the prospectus are correct at the time of going to print. Fees shown on the web are the most up to date but are still subject to change in exceptional circumstances. More information about fees and funding.

*UK Government announcement on tuition fees

Following an announcement in November, the government has confirmed its intention to increase undergraduate tuition fees for the 2025/26 academic year.

Subject to final Parliamentary approval (expected in early March 2025), the tuition fee for UK students is increasing to a maximum of £9,535 from 1 August 2025. This change applies to current and new students at the University of Plymouth. The Student Loans Company (SLC) has confirmed loans for tuition fees will be increased accordingly.

Additional costs

This course is delivered by the Faculty of Science and Engineering and more details of any additional costs associated with the faculty's courses are listed on the following page: Additional fieldwork and equipment costs .

Tuition fees for optional placement years

The fee for all undergraduate students completing any part of their placement year in the UK in 2024/2025 is £1,850.
The fee for all undergraduate students completing their whole placement year outside the UK in 2024/2025 is £1,385.
 Learn more about placement year tuition fees

How to apply
All applications for undergraduate courses are made through UCAS (Universities and Colleges Admissions Service).
UCAS will ask for the information contained in the box at the top of this course page including the UCAS course code and the institution code.
To apply for this course and for more information about submitting an application including application deadline dates, please visit the UCAS website.
Support is also available to overseas students applying to the University from our International Office via our how to apply webpage or email admissions@plymouth.ac.uk.

  • 6In the 2022 National Student Survey, 100% of our final year students said that ‘Staff are good at explaining things’.*

  • 'Get taught on campus by university lecturers who are specialists in their fields.

Your foundation year

As part of a four-year degree, our foundation year in mathematics will enable you to gain a solid background equivalent to A level Mathematics plus part of Further Mathematics and an introduction to computer programming.
You will be taught on campus by university lecturers and so you will be a member of the University community right from the start. My colleagues are experts who will help you hone your skills so you are able to start on the first year of one of our degree courses with confidence.
The foundation year places an emphasis on developing understanding and logical thought - we explain not only how a mathematical technique works but also why it is true. All this helps our students reach their full potential. There are many great courses you can progress to from the foundation year.

Dr James Edwards

Programme Manager for the mathematics foundation year

Babbage Building: where engineering meets design

“The building provides a state-of-the-art setting to inspire the engineers and designers of tomorrow, making it the ultimate place to bring together students, academics and industry in an environment that not only benefits them but also society as a whole.” – Professor Deborah Greaves OBE
Situated on the western edge of our city centre campus, the landmark new facility is home to the School of Engineering, Computing and Mathematics
and offers additional space for the School of Art, Design and Architecture .
Exterior of Babbage building

Featured modules

Featured module: Mathematics
Mathematics

This module gives you all the tools you need from the foundations of mathematics to be able to tackle problems with confidence.
Maths featured module - ordinary differential equations
Ordinary differential equations

Did you know that the differential equation which describes the change in price of stock market options is, in disguise, the same equation that describes how heat diffuses through materials?
Maths featured module mathematical reasoning
Mathematical reasoning

Understand how your credit-card details are kept secure when you shop online and the amazing maths behind it.
Featured module: Data modelling centered
Data modelling

Recent coursework in this module has involved fitting models to COVID-19 cases, comparing engine performance under different environmental conditions, and using historic data to assess how life expectancy has increased over time.
Abstract network connection background. getty
Electrodynamics and Relativity

Electrodynamics describes the classical theory of electric and magnetic fields and how they interact with electric charges. It is one of the four fundamental interactions of Nature.
Zener. Maths featured module real and complex analysis
Real and complex analysis

Based on the ideas of analysis this module introduces the notions of convergence and divergence and hence allows the study of trends in sequences of numbers and data.
Sharon Alfred

Sharon Alfred – graduate profile

I wasn’t sure of what I wanted to do for a career when I started my studies but as the years went along I was able to discern my strengths and weaknesses. These helped me in making my decision to go on to study a masters degree.
Sharon tells us how studying at Plymouth helped her decide to study for a masters degree

Emily Prestige – graduate

"After an unsuccessful time with A levels, I was given the opportunity to study at the University of Plymouth with a foundation year. When I visited the University, I was greeted by the course lecturers and I immediately felt welcome.
Within two weeks I had started the course. Completing the foundation year not only allowed me to solidify my mathematical knowledge, but also allowed me to adjust to university life.
Without the support of my lecturers, I would never have found my passion and I am so grateful for that.
Over the years I have really appreciated the environment the lecturers created. It feels like a community that students are a part of, and, because of the small class sizes, the students can build working relationships with the faculty. In addition, lecturers have an open door policy which means that we always have the opportunity to ask questions.
Emily Prestige

My personal recommendation to students starting a degree is that, if you feel worried about the content or the change in lifestyle, then a foundation year could be perfect for you. Not only this, but the support offered through schemes like PALS could give you an extra chance to get advice from older students."

Alexandra Tuijl – current student

Through completing this extra year I also feel that I’ve gained certain skills when it comes to the way we are expected to present our work, which other students going straight into first year will not have.
Alexandra Tuijl

Paula Oben – current student

"Completing the Foundation Year really helped me build my confidence and helped me prepare for 1st year, by bridging gaps in my knowledge and strengthening previous education. We have the same lecturers that other years have, so we have a stronger knowledge of how the academic life of university works, which a lot of the students going straight to the 1st year will not have."
Paula Oben

Foundation Year

For anyone considering a foundation year, my advice would be absolutely do it. I cannot recommend it enough. No matter how you have arrived at this point, whether you’ve been out of education for a while or, like I had, have just finished/are finishing A levels, completing a foundation year will only benefit you.
For me, like many others, the year gave a clear insight into what is expected of you as a student at university. The year begins with bringing everyone up-to-speed with their basic mathematical knowledge and proceeds to introduce, for many, new material. I found that this set me up perfectly for the first-year modules and gave me a firm basis to progress confidently into my first year of the mathematics degree.
Mathematics at university is quite different to maths at school. It doesn’t only consist of solving problems with a pen and paper, we also use computer programs to find solutions and visualise our problems. Along with others, I had never encountered a mathematical computer program and the concept of programming was difficult to grasp. However, the foundation year gives students an opportunity to see and use these programs, which I feel gave me an advantage and ‘head-start’ when we later met programming again after I had progressed into the mathematics degree.
This is just one of many examples of how the foundation year helped me and could help you too.
Jess Card, BSc (Hons) Mathematics

Work placements

  • ?A placement year will give you the opportunity to experience working life, and can lead to a job offer upon graduation

Work placements

A ‘placement year’ is an excellent way to gain a competitive edge. It will set you up for when the graduate schemes launch and help you make better career decisions.
Elizabeth Goult gained important skills and career-defining experiences working for Plymouth Marine Laboratory as a student programmer.
Elizabeth Goult - BSc (Hons) Mathematics
Athena SWAN Silver Award logo

Advice on personal statements

"Your personal statement should paint a picture of why you want to study mathematics — use it to show me your enthusiasm for the subject. For example, tell me which topics have particularly excited you, and why."
"Outside interests and work experience can show more about you – have you been a trusted person at work? Have you volunteered to help others learn at school? Have you trained people in a sport? Any of these things makes you a stronger applicant, so do mention them, but remember to keep the focus on your studies."
Equations in the mathematics laboratory

Meet some of your lecturers

Meet our school technical staff

Our technical staff are integral to the delivery of all our programmes and bring a diverse range of expertise and skills to support students in laboratories and workshops.
*These are the latest results from the National Student Survey. Please note that the data published on Discover Uniis updated annually in September.