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Mathematics BSc (Hons)

UCAS code: G100 (full-time), 351C (sandwich)

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Information for 2025

About this course

Support. That’s what you’ll get from us – and lots of it. We know that mathematics is a beautiful subject, but it can also be challenging. Our staff are not only experts in a range of mathematical fields they’re also here to guide you on your journey and even inspire you to develop your research areas.

You’ll start with the core building blocks like algebra, calculus and statistics before focusing on advanced topics such as mathematical biology, quantum cryptography and graph theory. To back up all this knowledge, you’ll apply it to real-world situations in the classroom and our innovative facilities.

What's the difference? BSc vs MMath

  • The BSc (Hons) is a three-year undergraduate course — or four years if you choose to complete a work placement. If your academic performance is strong enough over the first two years, you can transfer to our MMath Mathematics course.
  • The MMath (Hons) is a four-year course that leads to a single postgraduate qualification. The first two years are the same as the BSc course, with advanced, Masters-level study then spread across the third and fourth years.

Explore other areas of maths

If during your course you decide you'd like to specialise in an area of maths, then there's an opportunity to transfer to BSc (Hons) Mathematics with Data Science or BSc (Hons) Mathematics with Statistics.

Accreditation

This course is also accredited by the Institute of Mathematics and its Applications, which is a seal of approval from the professional body and will help you on your way to Chartered Mathematician status.

  • IMAlogo

What you’ll study

You'll explore numbers, data, quantity, structure, space, models, change, and mathematical applications that are fundamental to business and society. If you have a passion for mathematics, this course will help you to discover the proper application of modern techniques. The Mathematics degree course blends theory and practical applications so that you’ll be fully prepared for specialist employment in various roles and sectors.

In Years One and Two, you’ll explore various mathematical techniques and applications. Then, in your final year, you’ll get to choose several specialist modules depending on your personal preferences and career aspirations.

Who will teach me?

I recently won several HESTEM grants to work with the Nottingham Girl's High School on final year maths education projects and to build employability skills into our maths course. Local, national, and global companies have helped us to make sure that our students leave with the skills, abilities, and confidence to excel in the jobs market.

As a team, our research focus includes biological mathematics, statistics, and computational modelling, but we also encompass financial analysis, cryptography, and many other fields.

Dr James Hind, Lecturer

I teach the Numerical Methods for Ordinary Differential Equations and Topics in Applied Mathematics modules. I also support final year students with their project work. My own research interests include industrial mathematics, mathematical modelling and numerical analysis.

Dr David Chappell, Lecturer

Study abroad opportunities

Get ready to embark on an adventure with our study abroad programs at partner universities or by getting a work placement overseas. Both opportunities will boost your employability, build lifelong friendships, and allow you to experience the world in a whole new way.

Introduction to Linear Algebra and Computation (20 credit points)

Studying Linear Algebra gives you a great base knowledge you’ll use in many modules during your course. Concepts include complex numbers, vectors and matrices. Using mathematical software packages you’ll focus on computational and numerical methods that can be used to find approximate solutions to problems that cannot be solved analytically.

Calculus (20 cp)

In this module you’ll study methods of differentiation and integration, from the fundamental principles, to integrating and differentiating complicated functions. Ordinary differential equations will be looked at and in combination with material you’ll learn how to solve these new types of equations.

Introduction to Discrete Mathematics and its Applications (20 cp)

You’ll start by learning how to program using Python before investigating discrete mathematics problems. Working in groups, you’ll discover potential solutions which you’ll use algorithms in Python to computerise your solutions.

Investigations in Analysis (20 cp)

You’ll develop a range of skills appropriate to conducting open-ended mathematical investigations. Learn about the importance of rigour and techniques of proof in mathematical contexts.

Foundations of Pure Mathematics (20 cp)

First you’ll be introduced to the world of rigorous mathematics, which is ruled by the laws of mathematical logic and is based on the concept of mathematical proof. Set theory will then be introduced and through looking at real-world examples, you’ll learn about the other important algebraic structures, such as notations, operations and groups.

Data Analysis (20 cp)

This gives you an introduction to important statistical ideas and their application using modern software. You will explore data analysis, probability, statistical inference and statistical modelling.

Linear Algebra and its Applications (20 cp)

This module will build your conceptual and technical background, and, in particular, work on vector spaces will be extended and generalised to linear transformations. You will be introduced to coding theory by applying linear algebra to linear codes.

Differential Equations (20 cp)

Extend your knowledge of calculus, differential equations and linear algebra, and gain an introduction to difference equations, the Eigen problem and transform methods.

Probability and Statistical Inference (20 cp)

Refine your statistical inference and modelling knowledge and develop essential computational and IT skills.

Advanced Calculus (20 cp)

Broaden your knowledge, understanding and skills in advanced higher calculus to topics including Fourier series, partial differential equations and complex analysis.

Mathematical Enterprise (20 cp)

In this module you’ll work in small teams to develop a plan for a new business or enterprise, using your mathematical skills to showcase the viability of your venture. This module is run in conjunction with Nottingham's Creative Quarter and you’ll work with several local businesses to create business plans.

Cryptography and Computational Complexity (20 cp)

Learn how to select and apply appropriate techniques and use computer programming and specialist mathematical software to help solve problems. You’ll look at the need to develop more and more sophisticated ways of protecting information through cryptography. Analyse the hardness and limitations of mathematical algorithms using computational complexity theory.

Optional year-long work placement.  If you are not taking a placement, you will progress directly to your final year in year three.

Core Modules

Project and Professional Skills (40 cp)

Immerse yourself in a substantial mathematics project with dedicated support and supervision. The project will showcase your skills, knowledge, and problem-solving abilities. You’ll also take part in activities to explore your career options after graduation.

Numerical Analysis and Dynamical Systems (20 cp)

Develop your knowledge of numerical methods with an emphasis on numerical optimisation techniques, advanced methods for the numerical solution of ordinary differential equations and applying methods to non-linear problems.

Linear Systems (20 cp)

You will continue your previous studies in linear algebra and differential and difference equations.

Optional modules - choose one:

Differential and Integral Equations (20 cp)

Apply your knowledge of advanced calculus and differential equations to solve differential and integral equations.

Stochastic Processes (20 cp)

Extend your understanding of probabilistic modelling to include stochastic processes and learn advanced techniques for investigating the behaviour of stochastic processes.

Optimisation (20 cp)

The optimisation is the art of optimal decision-making under constraints. This module introduces you to optimisation, focussing on the theoretical foundations of the subject, the practical modelling aspects, and the algorithm analysis and design.

Optional modules - choose one:

Experimental Design and Machine Learning (20 cp)

In this module you’ll be introduced methods of experimental design and their application in industrial and commercial situations. You’ll learn the methodology and techniques to design, conduct and analyse an experiment before applying statistical analysis to your results.

Partial Differential Equations (20 cp)

Partial differential equations are an essential topic in both pure and applied mathematics.  This topic builds on the introduction given in Advanced Calculus to consider partial linear equations in non-trivial domains and to introduce methods of analysing nonlinear first-order partial differential equations.

Medical Statistics and Financial Modeling (20 cp)

You’ll study statistical techniques appropriate for medical and financial data, including the analysis of survival data and dealing with large complex datasets.

Graph Theory and Combinatorics (20 cp)

This module introduces research-informed topics in pure mathematics and aims to extend and complement ideas introduced earlier in your course. It provides a blend of mathematical concepts and techniques widely applicable in data science, operational research, chemistry, engineering, computer science, information technology, statistics, sociology and genetics.

We regularly review and update our course content based on student and employer feedback, ensuring that all of our courses remain current and relevant. This may result in changes to module content or module availability in future years.

How you're taught

You’ll learn through a mix of:

  • lectures - covering the key theories in mathematics
  • seminars - smaller-group sessions perfect for learning key skills and collaborative working
  • practical sessions - using our extensive range of industry-standard facilities
  • workshops - this includes surgery sessions where you’ll meet with your lecturer in small groups to discuss any problems or work through challenging topics.

The rest of your time will be spent carrying out independent study such as reading textbooks and lecture notes, and working on exercises.

A placement year may be taken between year 2 and year 3 of study

Learn a new language

Alongside your study you also have the opportunity to learn a new language. The University Language Programme (ULP) is available to all students and gives you the option of learning a totally new language or improving the skills you already have. Find out more about the ULP.

How you're assessed

We want you to graduate with a range of transferable skills so all of modules have two or three assessment methods that help you demonstrate your knowledge in various ways, including:

  • coursework, including group projects, case studies, dissertation and other assignments
  • practical assessments, such as individual and group presentations, laboratory assessments and lab reports
  • exams and tests, including formal exams, written tests and multiple-choice.

In your final year, you’ll also complete your mathematics project with the support of your tutor.

Staff Profiles

James Hind - Senior Lecturer

School of Science & Technology

James Hind

Martin Nelson - Senior Lecturer

School of Science & Technology

Dr. Martin Nelson is a Senior Lecturer of Applied Mathematics at NTU, researcher of Mathematical Biology, complex immunology and multi-faceted bio systems.

Timothy Hetherington - Principal Lecturer

School of Science & Technology

Timothy Hetherington

Colin Wilmott - Senior Lecturer

School of Science & Technology

Colin Wilmott

Nadia Chuzhanova - Lecturer

School of Science & Technology

Nadia Chuzhanova staff profile

Jonathan Crofts - Senior Lecturer

Physics and Mathematics

Jonathan Crofts

Careers and employability

Your career development

Our recent graduates have secured roles at companies including:

  • Oegen
  • Invictus Trust
  • BT
  • NHS
  • Next Retail Ltd

They have also started careers in:

  • industrial and commercial mathematics
  • statistical applications systems modelling
  • software engineering
  • telecommunications
  • IT applications
  • teaching and research.

They have gone into a wide variety of job roles, including:

  • Junior Programmer
  • Project Manager
  • Graduate Mathematician
  • Test Automation Engineer

What our students say

The content we studied in my final year was vital in getting the job I have today. The course is very applicable when applying for positions outside of the university. If you're interested in Mathematics, I can't recommend this course enough.

I also love Nottingham – it's a fantastic city, and I didn't have any questions about staying here when I graduated. When looking for jobs, my number one priority was staying in this city.

Duncan Bell, BSc (Hons) Mathematics - graduate
Credit Scoring and Strategy Analyst

Excellent placement opportunities

Top 10 for the number of Mathematics students on year-long placements (HESA 2021/22)

NTU is one of the most employment-focused universities. Increasingly, employers want to recruit graduates who have real-world work experience. That’s why all of our courses, across every subject area, offer you a work experience opportunity. Our experts help build and support your future with various career programmes and events.

On this course, after your second year, you will have the opportunity to take a year's work placement (sandwich placement). This will give you a chance to gain vital experience and put your knowledge into practice. You're also twice as likely to secure a graduate job within six months if you take a work placement.

Our recent students have taken placements across various companies, including DeVere Group, Cooper Parry and Government Statistical Services. They secured varied roles such as Trainee Wealth Assistant, Assistant Bio-statistician and Auditing Assistant.

You'll be supported and assessed throughout your placement year and will write a reflective report and diary at the end of your placement. When you complete your placement, you will be eligible to receive an additional award of a Diploma in Professional Practice.

Find out more about work placements.

Mathematics Undergraduate Researchers Studentship (MURS)

You will be able to apply for MURS Programme - a funded opportunity to collaborate with academic staff on cutting-edge research projects. It's a structured 6-8 weeks summer programme during which, you will meet weekly with your supervisor for mentorship and guidance. These sessions are tailored to your chosen project's needs and the supervisor's approach. It is an additional skill building opportunity that will equip you with essential skills to tackle active research problems and master the art of conducting mathematical research.

NTU Enterprise

You'll also have the opportunity to turn your ideas into a viable business with help from NTU Enterprise, NTU's purpose-built Centre for Entrepreneurship and Enterprise, a support centre to help students create, develop and grow their businesses.

Campus and facilities

You’ll mainly be studying in the Erasmus Darwin Building and Teaching and Learning Building with access to facilities including 3D printers and VR to help you visualise mathematical concepts.

Our self-contained, community-focused Clifton Campus has been designed to keep students busy between lectures. Catch-up with your course mates in the Pavilion’s barista café and Refectory; brainstorm group presentations in chic and stylish study spaces; enjoy some proper R&R in The Point, home of our Students’ Union. The campus also hosts the multimillion-pound Clifton Sports Hub, offering great options for everyone — whatever your interests, and however competitive you’d like to get!

You’re also right next to the bright lights of Nottingham — one of Britain’s top 10 student cities, and one of Europe’s top 25. All through termtime, a dedicated on-campus bus service will get you to the heart of the action (and back) in under 25 minutes. You’ll find a city stuffed with history, culture, and well-kept secrets to discover at your leisure: enjoy lush green spaces, galleries, hidden cinemas and vintage shopping by day, and an acclaimed food, drink and social scene by night.

Take our virtual tour to get a real feel for the campus.

Entry requirements

UK students

  • Standard offer:  120 UCAS Tariff points from up to four qualifications including A-level or equivalent Maths grade C
  • Contextual offer: 112 UCAS Tariff points from up to four qualifications including A-level or equivalent Maths grade C

To find out what qualifications have tariff points, please use our tariff calculator.

International students

  • Academic entry requirements: 120 UCAS Tariff points from up to four qualifications including A-level or equivalent Maths grade C. We accept equivalent qualifications from all over the world. Please check your international entry requirements by country.
  • English language requirements: See our English language requirements page for requirements for your subject and information on alternative tests and Pre-sessional English.

Policies

We strive to make our admissions procedures as fair and clear as possible. To find out more about how we make offers, visit our admissions policies page.

Fees and funding

UK students

- see the fees for this course, as well as information about funding and support.

£9,535 per year

If you choose to do a placement year or year abroad, you'll pay a reduced fee for that year:

  • Placement year - £1,850
  • Year abroad - £1,385

Find out about the extra support we may be able to provide to help pay for uni, including NTU bursaries and scholarships.

You will need to pay tuition fees for each year that you are at university. The tuition fees, including the placement year and study abroad options are subject to government policy and may change in future years of study.

Preparing for the financial side of student life is important, but we don’t want you to feel anxious or confused about it. Visit our fees and funding pages if you have any concerns.

International students

- see the fees for this course, as well as payment advice and scholarships.
  • £17,500 per year

If you choose to do a placement year or study abroad placement year, you'll pay a reduced fee for that year:

  • Placement year - £1,850
  • Study abroad placement year - £1,385

You will need to pay tuition fees for each year that you are at university. The tuition fees might increase from the second year of your undergraduate course, in line with inflation and as specified by the UK government.

Scholarships

We offer international scholarships of up to 50% of your tuition fee. You can apply for a scholarship when you have an offer to study at NTU.

Living costs

See our advice on managing your money and the cost of living as an international student in Nottingham.

Paying fees

As an international student, you'll need to make an advance payment of £6,000 when you've accepted your offer to study at NTU. You'll then need to pay your tuition fees in full, or have an agreement to pay in two further instalments, before the start date of your course.

Find out how and when to pay your fees, including information about advance payments, instalment dates and how to make payments securely to the University.

Enquiries

If you have any queries relating to advance payments or arrangements to pay, please contact our friendly and experienced international enquiries team.

Additional costs

Your course fees cover the cost of studies and include loads of great benefits, such as the use of our library, support from our expert Employability team and free use of the IT equipment across our campuses. There are just a few additional things you may need to budget for:

Textbooks and library books

Most modules will recommend one or more core textbooks, which most students choose to purchase. Book costs vary and further information is available in the University’s bookshop. Our libraries provide a good supply of essential textbooks, journals and materials (many of which you can access online) - meaning you may not need to purchase as many books as you might think! There may also be a supply of second-hand books available for purchase from previous year students.

Printing and photocopying costs

The University allocates an annual printing and copying allowance of £20 depending on the course you are studying. For more details about costs for additional print and copying required over and above the annual allowance please see the printing and photocopying information on the Library website.

Placements

If you're undertaking a placement year, you'll need to budget for accommodation and any travel costs you may incur whilst on placement. Many of our placement students do earn a salary whilst on placement which can help to cover these living costs.

Field trips

All essential field trip costs will be included in your course fees. There may be the opportunity to take part in optional field trips, which do incur additional costs.

Scientific Calculator

You will require a basic scientific calculator for use in examinations (e.g. Casio 83 or 85 series, approximately £15).

Fees and funding advice

For more advice and guidance, you can email our Student Money Team or phone us on +44 (0)115 848 2494.

Cost of living information and support

Managing your money can help you make the most of life at NTU. Here's how we can support you, and now you can make your funding go further.

How to apply

Ready to join us? Then apply as soon as you can. Just click the Apply button at the top of the page and follow the application instructions. Make sure you check the entry requirements above carefully before you do.

Writing your application and personal statement

Be honest, thorough and persuasive in your application. Remember, we can only make a decision based on what you tell us. So include all of your qualifications and grades, including resits or predicted grades.

Your personal statement is a really important part of your application. It’s your chance to convince us why we should offer you a place! You’ve got 4,000 characters to impress us. Make sure you use them to show how your skills and qualities are relevant to the course(s) you’re applying for. For more hints and tips, take a look at our page on how to write a good personal statement.

Keeping up-to-date

After applying, we’ll send you important emails throughout the application process, so check your emails regularly, including your junk mail folder.

You can get more information and advice about applying to NTU on our Your Application page. Good luck with your application!

You can apply for this course through UCAS. If you are not applying to any other UK universities, you can apply directly to us on our NTU applicant portal.

Application advice

Apply early so that you have enough time to prepare – processing times for Student visas can vary, for example.  After applying, we'll send you important emails throughout the application process, so check your emails regularly, including your junk mail folder.

Writing your personal statement

Be honest, thorough, and persuasive – we can only make a decision about your application based on what you tell us:

Would you like some advice on your study plans?

Our international teams are highly experienced in answering queries from students all over the world. We also have members of staff based in Vietnam, China, India and Nigeria and work with a worldwide network of education counsellors.

The University's commitment to delivering the educational services advertised.