Undergraduate BSc (Hons)


School of Science, Engineering and Environment



With placement


Three year

Four year

Next enrolment

September 2020

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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 able to take a placement year to increase your skills applicable to industry
  • Become familiar with modelling physical processes relevant to industries such as engineering and computing

options available


students accepted

This is for you if...


You're excited by the possibilities of mathematics and desire a future career in this field


You want to develop your knowledge in pure and applied mathematics


You're a keen problem-solver who enjoyed mathematics at school/college

Course details

All about the course

Developing applied knowledge and skills is at the heart of Salford’s values, so we strive to embed this as a core learning objective throughout your studies.  This course focuses on applied mathematics relevant to a future career in industry. You'll be encouraged to identify, define, evaluate, analyse and solve problems. 

In year one, you'll explore core fundamentals of mathematics and consolidate and extend your knowledge. As you progress to year two, you'll continue to develop your knowledge of vector calculus and tensor algebra, statistics and numerical analysis.  In your final year, you'll complete a final year project in an area of mathematics of your choice. 


Industry placements are a great opportunity to get some hands-on experience and make those early career connections.  On this course, you'll have the option to take an industry placement between years two and three. Although you’ll be responsible for securing your placement, our tutors will support you, monitor your progress and assess your final placement report. By successfully completing a placement year, you can also add 'with professional experience' to your final degree award.

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 introduced 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

Linear algebra is a fundamental topic which has applications in many branches of mathematics. You will look at the methods and theory behind the solution of simultaneous equations, and you will develop skills in solving linear problems using matrix methods and the concept of abstract vectors.

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.


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

Vector Calculus extends the one-dimensional calculus learnt in the first year. You will learn about integral methods for scalar and vector fields for multiple dimensions and be introduced to tensors and tensor algebra.

Year three

Mathematical Methods 3

You will investigate more advanced techniques of solving differential equations using for methods such as Fourier and Laplace transforms, series methods and more.


The project will give you the opportunity to develop a mathematical model within a challenging research theme, including those 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

You will learn how the deformation of materials can be modelled mathematically using a continuum model.  

Mathematical Statistics

Using probability theory as well as other branches of mathematics such as linear algebra and analysis, you will revisit the foundations of statistics from a more mathematical standpoint. You will gain theoretical and practical skills in mathematical statistics, study some of the most widely used probability distributions and recognise and employ them in practical applications.

Operational Research

You will learn the skills to construct mathematically based models to find better solutions to real-life and complex decision-making problems. These models draw upon mathematical knowledge, such as mathematical modelling, statistical analysis, mathematical optimization and artificial intelligence to find an optimal or near-optimal solution to problems from a variety of industries and government areas.

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.

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.

What will I be doing?


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

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


You will be assessed using a combination of formats. These include:

  • 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

Most modules use 50% coursework /50% exam weighting in the first year, falling to 40% /60% in the second year and 30%/70% in the final year.lass

School of Science, Engineering and Environment

From cyber security to biomedicine to architecture, our expanding suite of multidisciplinary courses shapes the next generation of scientists, engineers, consultants and conservationists. Through advanced research, we’re pioneering robotics and AI, smart environments and the appliance of data. With a team of over 200 dedicated academic, technical and administrative staff, you’ll experience a supportive, professional environment where you can realise your potential.

Employment and stats

What about after uni?


With a mathematics degree from Salford, you'll have a strong knowledge base and understanding of how mathematical and scientific methods can be applied in real-world problem-solving. You'll find graduate roles and career opportunities in a wide range of industries, including finance and investments, market research, meteorology, engineering or operations.


You might find you want to learn more about how to apply data and mathematics, so we offer a range of specialist postgraduate courses to help you take your career and interests even further. Salford graduates and alumni also receive a significant fees discount.

A taste of what you could become

A data analyst

An accountant

A financial trader

A teacher

A researcher

And more...

Career Links

This course is extensively informed by collaboration between the university’s academics and industry partners from business, science, engineering and technology. The course team has a wide range of long-standing and professional relationships with industry in the North West and beyond.

Continued collaboration with these professions also ensures a stimulating range of external guest lecturers, as well as career networking opportunities and professional memberships.

The Business and Industrial Mathematics module was set with funding from Higher Education STEM and the Institute for Mathematics and its Applications. This module will be delivered by guest speakers on a spectrum of mathematical applications used in their respective industry.


What you need to know


We welcome applicants who have studied mathematics or physics subjects at school/college and would like to gain a deeper knowledge in these and other related subjects. 


Applicants will be required to show a proficiency in English. An IELTS score of 6.0, with no element below 5.5, is proof of this.


Please note: The entry criteria below are related to entry onto this course in the 2020/2021 academic year. If you’re interested in a future intake year, please check the course entry on UCAS.


Standard entry requirements


English language and mathematics at grade C/level 4 or above

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

UCAS tariff points

120 UCAS points to include Mathematics

A level

120 UCAS points to include a grade B in Mathematics, or grade C in Further Mathematics

BTEC National Diploma

Contact Admissions for further information

Access to HE

Contact Admissions for further information 

Scottish Highers

120 UCAS points to include grade B in Advanced Higher level Mathematics

Irish Leaving Certificate

120 UCAS points to include grade A1 in Higher Level Mathematics

European Bacclaureate

Contact Admissions for further information

International Baccalaureate

35 points including grade 6 in Higher Level Mathematics

Alternative entry requirements

Salford Alternative Entry Scheme (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.

To be considered for the Salford Alternative Entry Scheme you must have already achieved or be working towards GCSE Maths and English Grade C/4 (or equivalent).

How much?

Type of study Year Fees
Full-time home/EU 2020/21 £9,250per year
Full-time international 2020/21 £15,240per year
Additional costs

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

Scholarships for International students 2020/21

To celebrate the University of Salford's expertise and industry links in Computing and Engineering, high achieving international students may be eligible for our Computing, Science and Engineering International Excellence Scholarship of £3,500.

For more information go to International Scholarships.

Apply now

All set? Let's apply

Enrolment dates

September 2020

UCAS information

Course ID G100

Institution S03

Start this course in September. Call 0300 555 5030 to apply through Clearing.

Our phone lines are open 09:00 - 17:00 Monday to Thursday and 10:00 - 16:00 Friday.