Undergraduate BSc (Hons)

Mathematics with Foundation Year

School of Computing, Science & Engineering


With placement


Four year

Five year


September 2019

Next enrolment

In a nutshell

Many of civilisation’s greatest achievements are built on mathematics. By choosing a mathematics degree, you will learn to make an important contribution to the world around us, be it in science, technology or engineering.

Our mathematics course is designed to take you to an advanced level. Blending applied methods with cutting-edge themes, like nanotechnology, economic stability and artificial intelligence, you’ll graduate with in-demand skills for the contemporary business environment.

You will:
  • Identify, define and evaluate real-world problems, using applied mathematics to challenge conventional ideas
  • Be taught by a combination of experienced mathematicians and finance sector staff
  • Engage with business and industry throughout the course
  • Become familiar with modelling physical processes relevant to industries such as engineering and computing

options available

This is for you if...


You have the passion and enthusiasm for mathematics but lack the qualifications for direct entry


You are seeking a change of direction into science or are mature student with workplace experience


You want to improve your competences in mathematics before studying for a degree


You want to learn how to identify,analyse and solve real-world problems


You enjoy being challenged and working with other like-minded people


You want to develop specialist knowledge in applying mathematics in finance, investment, market research, meteorology, engineering or operations

Course details

All about the course

This course will focus on applied mathematics relevant to a future career in 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.

When accepting your offer to study on this course, please be aware that not all optional modules run each year. Your tutor will advise you of available options at the start of term. Whilst we try to try to ensure that you can select your preferred options, we cannot guarantee this.

Industrial placement option

If you are studying full-time, you'll have the option to take an industrial placement year between years two and three. Although you will be responsible for securing your own placement, we will assign you a placement tutor to monitor your progress and assess your final placement report. By completing a placement year, you can add 'with professional experience' to your degree award. Placements are an excellent opportunity to improve your CV, gain hands-on experience and build connections in your industry of choice.

Foundation year

Foundation Mathematics A and B

These modules entail the development of mathematical and modelling skills. Subjects include algebra, transposition of formulae, coordinate systems, logarithms, introduction to calculus, problem solving in velocity and acceleration, differentiation, integration and matrices.

Foundation Physics A and B

This module provides grounding in basic physics and the development of numerical problem solving. The syllabus includes, mechanics, properties of matter and wave propagation. Electronics and electricity are introduced, along with fields (magnetic, electric, gravitation etc.) and atomic and nuclear physics.

Introduction to Probability and Statistics

This module will introduce some core mathematics equivalent to A-level, including basic probability and statistics.

Foundation IT and Study Skills

This module involves the development of IT, research, team working, presentation and scientific reporting skills. In more detail, the use of spreadsheets, graphical representation of data, report writing, scientific presentations and group-based research will be undertaken.

Year one


This module will build upon and extend your A-Level (or equivalent) mathematical probability knowledge and develop the subject of probability with applications.


You will be introduce to the concept of proofs and construct simple proofs. It will give you an understanding of fundamental concepts of limit, continuity, differentiability, integration and function in mathematical analysis. On completion of the module you will be able to apply the notion of limit to prove fundamental theorems and to perform integration.

Linear Algebra

This module introduces the principles of linear algebra and you will develop skills in solving numerical problems using matrices.

Mathematical Methods 1

You will build on your A-Level (or equivalent) mathematical techniques and knowledge in preparation for subsequent mathematics modules. Specifically, you will cover the subject of differential equations with applications.

Mathematical Modelling

This module will build upon and extend your A-Level (or equivalent) mathematical techniques providing a mathematical foundation in support of subsequent mathematics modules. You will also cover differential equations with applications and be introduced to problem solving using a symbolic computing environment.

Mechanics and Vector Calculus

You will be introduced to the principles of classical mechanics and vector calculus. You will develop skills in solving numerical problems in mechanics and vector calculus.

Year two

Business and Industrial Mathematics

This module will give you experience in business and industrial working practices and how to solve practical mathematical problems.

At the start of the module, a series of seminars will be given by speakers on a variety of mathematical applications in business in industry including: probability and statistics, operational research, fluids, structural and solid mechanics, (intelligent) computer algorithms, business and economic models, and how these impact on their work.

You will deliver written reports and oral presentations, which are assessed on a group basis, both during and at the end of the semester.

Inviscid Fluid Dynamics

This module will introduce fundamental mathematical concepts of fluid dynamics, with a focus on inviscid flow. You will learn how to apply the techniques to important physical problems such as hydrodynamics and aerodynamics.

Mathematics Methods 2

You will extend your methods in differential and integral calculus, first and second order partial differential equations and methods in differential and integral calculus for the complex variable.

Numerical Analysis

You will learn how to present key numerical (using the computer) solutions in optimisation and ordinary and partial differential equation. You will also apply the techniques to important physical problems such as the heat, diffusion and wave equation.


You will develop a sound knowledge in probability models and distribution theory, skills in statistics and data analysis and provide an awareness of the principles and scope of data analysis models often implemented in statistical software packages.

Vector Calculus and Tensor Algebra

This module will introduce tensors and tensor algebra. You will learn how to use tensors in the representation of physical phenomena and you will develop skills in vector calculus.

Year three

Mathematical Methods 3

You will learn about integral methods for scalar and vector fields and multiple integrals, in addition to the theory and the application of Fourier and Laplace transforms with examples.


The project will give you the opportunity to develop a mathematical model within one of the challenging research theme areas prioritised by EPSRC and the EU Research Council and of benefit and importance to society. These are: climate, nanotechnology, renewable energy and sustainable economics. The aim is for you to demonstrate your understanding of the application of mathematics to one of these areas and give you an opportunity to demonstrate your knowledge, understanding and skills.

Optional modules

Continuum Mechanics

This module develops the concepts associated with modelling material response using a continuum theory.

Mathematical Statistics

The module aims to survey models for statistical and dynamic processes.

Operational Research

You will develop the concepts associated with operational research, and apply them to practical problems.

Viscous Fluids

You will gain the skills to derive the incompressible Navier-Stokes equations of a viscous fluid, and the ensuing Stokes, Oseen and Euler equations. You will also learn how to obtain solutions to the Stokes equation and Oseen equation in terms of the Green's integral representation by singular force solutions and how to apply to this a variety of problems, in particular flow past slender and thin bodies.

Computer Graphics

You will learn about aspects of object-programming applied to high-level real-time 3D graphics toolkits using the C++ programming language. You will study the mathematics of graphical transformations and apply this within computer laboratories in which real-world applications can be demonstrated.

What will I be doing?


You will develop your knowledge and skills through a blend of theoretical, collaborative and practical methods:

  • Talks and lectures by academics and guests
  • Business and finance speakers
  • Practical workshops
  • Case studies and project work
  • Group assignments
  • Online learning using Blackboard

You will be assessed using a combination of formats:

  • Presentations: individual or group presentations of the final outcome to a particular assignment or brief
  • Examinations: usually two hours in duration and aim to test material presented in lectures, workshops and seminars
  • Written assessments: class tests, reports and evaluations

Some modules use 50% coursework/50% exam weighting, but most use 30% coursework/70% exams criteria.

The School of Computing, Science and Engineering

The School of Computing, Science and Engineering (CSE) seeks to improve lives through proactive collaboration with industry and society. Our stimulating, industry-accredited courses and research programmes explore engineering, physics, acoustics, computing, mathematics and robotics. Through our award-winning lecturers, world-class facilities and research-led teaching, CSE produces highly employable graduates ready for the challenges of today and tomorrow.

Employment and stats

What about after uni?


With a mathematics degree from Salford, you should have the knowledge and understanding of mathematical and scientific methods. You will be to build a career in industries such as finance, investments, market research, meteorology, engineering or operations, or progress on to further study.

Further study

We offer a range of specialism postgraduate study paths to help you take your career even further. We even offer a fee discount to our graduates and alumni.


A data analyst

An accountant

A meteorologist

A teacher

A financial trader

And more...

Career Links

Work placements form a key part of your studies and provide a structured link between study and exposure to professional practice, and allow you to witness your development in an industry setting.

The University has a wide range of long-standing and professional relationships with businesses and financial service sector companies in the north-west and beyond, to ensure you receive relevant industry contact during your studies.

We have been awarded Higher Education STEM funding for the delivery of the module Business and Industrial Mathematics. This module will be delivered by guest speakers on a spectrum of mathematical applications used in their respective industry.


What you need to know

This foundation 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.

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.

Standard entry requirements


English language and maths at grade C/grade 4 or above

You must fulfil our GCSE entry requirements as well as one of the requirements listed below.

UCAS tariff points

72 UCAS points from any subject combination. 64 UCAS points where qualifications include both mathematics and physics at A-level.

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.

Alternative entry requirements

Salford Alternative Entry System (SAES)

We welcome applications from students who may not meet the stated entry criteria but who can demonstrate their ability to pursue the course successfully. Once we have received your application we will assess it and recommend it for SAES if you are an eligible candidate.

There are two different routes through the Salford Alternative Entry Scheme and applicants will be directed to the one appropriate for their course. Assessment will either be through a review of prior learning or through a formal test.

How much?

Additional costs

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

Apply now

All set? Let's apply

Enrolment dates

September 2019

September 2020

UCAS information

Course ID G105

Institution S03