About this course
You’re right at the start of your exciting mathematics journey and we’re here to build your mathematics and science skills. These will provide you with the foundations to excel when you move onto BSc (Hons) Mathematics in your second year.
You'll explore numbers, data, quantity, structure, space, models, and change, and mathematical applications 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 a broad range of roles and sectors.
You’ll learn by taking part in a series of projects both individually and in a group. These projects are an opportunity to get hands-on, apply your knowledge, and develop your problem-solving and creative thinking skills.
Changed your mind? It’s OK if you want to change direction. You’ll have all the knowledge and the flexibility to move onto one of our other mathematics courses – wherever your interests take you.
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97% of our mathematics students were in work or further study 15 months after graduation (Graduate Outcomes Survey 2020/21). -
We offer Mathematics Undergraduate Research Scholarships (MURS) - funding for a short placement in one of our research teams. It's an opportunity to further your research interests and contribute to the department. -
Join our Mathematics Society, and you’ll have the opportunity to take part in regular events hosted on campus by the local branch of the Institute of Mathematics and its Applications.
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Top 20 in the UK for teaching quality in Mathematics (Times and Sunday Times Good University Guide 2024)
What you’ll study
Dr James Hind, Lecturer
"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."
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.
Introductory Mathematics (20 credit points)
This module provides an introduction to important mathematical ideas, including Algebraic rearrangement, Trigonometry, Vectors, Descriptive Statistics, Integration and Differentiation. You’ll gain an understanding of ideas that form the basis of later, more specialised, developments and you’ll be able to solve simple but realistic mathematical problems.
Intermediate Mathematics (20 cp)
This module aims to provide the link between Introductory Mathematics and degree level Mathematics. You’ll cover more complex topics such as the chain rule and integration by parts, the generalisation of vectors to matrices, the approximation of numerical series, logic and probability, complex numbers and mathematical proof.
Computational Mathematics (20 cp)
A hands-on introduction to ideas and skills which cross Mathematics, Physics and Computing. Using software such as Excel and Matlab, you’ll learn about mathematical ideas like matrices and the consideration of how physical systems can be represented mathematically.
Foundation Science (20 cp)
In this module you’ll cover topics in Physics and Chemistry including exchange, transport and conservation of energy and inorganic, organic and physical chemistry. The aim of this module is to provide a sound scientific foundation for the study of engineering or mathematics at undergraduate degree level.
Practical and Professional Skills (20 cp)
This module aims to provide a link between the theoretical modules on the course and their practical implementation. The professional skills aspect will help you with interpreting coursework requirements, exam and revision technique, note taking and referencing. The practical sessions will cover a variety of topics that require you to make use of the scientific principles and mathematical techniques that you’re learning in the other modules on the course.
Introduction to Linear Algebra and Computation (20 cp)
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.
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
- 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.
How you're assessed
People excel in different ways, and we want everybody to have the best possible chance of success. That’s why we’ve adopted a range of assessment types, including:
- coursework, including group projects, case studies, dissertation and other assignments
- practical assessments, such as individual and group projects and presentations.
- exams and tests, including formal exams, written tests and multiple-choice.
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 absolutely vital in getting the job I have today. The course is very applicable when applying for positions outside of university. If you're interested in Mathematics I really can't recommend this course enough.
"In addition, I love Nottingham – it's a fantastic city, and I didn't have any questions at all 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
Placements
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 a range of career programmes and events.
On this course, after your third year, you will have the opportunity to take a year's work placement (sandwich placement). This will give you the 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 a wide range of 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 successfully 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 for second year full degree students, 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 own 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: 72 UCAS tariff points from three A-levels or equivalent
- Other requirements: GCSE Maths grade B / 6 and English C / 4
To find out what qualifications have tariff points, please use our tariff calculator.
Additional requirements for UK students
There are no additional requirements for this course.
Contextual offers
If you don’t quite meet our entry requirements, we might be able to make you a lower offer based on a range of factors, including your background (such as where you live and the school or college you attended), your experiences and your individual circumstances (you may have been in care, for example). This is called a contextual offer, and we get data from UCAS to help make these decisions. We do this because we believe everyone with the potential to succeed at NTU should have the opportunity to do so, no matter what barriers you may face.
Meeting our entry requirements
Hundreds of qualifications in the UK have UCAS Tariff points attached to specific grades, including A-levels, BTECs, T Levels and many more. You can use your grades and points from up to three different qualifications to meet our criteria. Enter your predicted or achieved grades into our Tariff calculator to find out how many points your qualifications are worth.
Other qualifications and experience
NTU welcomes applications from students with non-standard qualifications and learning backgrounds, either for year one entry or for advanced standing beyond the start of a course into year 2 or beyond.
We consider study and/or credit achieved from a similar course at another institution (otherwise known as credit transfer), vocational and professional qualifications, and broader work or life experience.
Our Recognition of Prior Learning and Credit Transfer Policy outlines the process and options available for this route. If you wish to apply via Recognition of Prior Learning, please contact the central Admissions and Enquiries Team who will be able to support you through the process.
Getting in touch
If you need more help or information, get in touch through our enquiry form.
International students
- Academic entry requirements: 72 UCAS tariff points from three A-levels or equivalent. We accept equivalent qualifications from all over the world. Please check your international entry requirements by country.
- Other requirements: GCSE Maths grade B / 6 and English C / 4
- English language requirements: See our English language requirements page for requirements for your subject and information on alternative tests and Pre-sessional English.
Additional requirements for international students
English language requirements
View our English language requirements for all courses, including alternative English language tests and country qualifications accepted by the University.
If you need help achieving the language requirements, we offer a Pre-Sessional English for Academic Purposes course on our City campus which is an intensive preparation course for academic study at NTU.
Other qualifications and experience
If you have the right level of qualifications, you may be able to start your Bachelors degree at NTU in year 2 or year 3. This is called ‘advanced standing’ entry and is decided on a case-by case basis after our assessment of your qualifications and experience.
You can view our Recognition of Prior Learning and Credit Transfer Policy which outlines the process and options available, such as recognising experiential learning and credit transfer.
Sign up for emails
Sign up to receive regular emails from the International Office. You'll hear about our news, scholarships and any upcoming events in your country with our expert regional teams.
Getting in touch
If you need advice about studying at NTU as an international student or how to apply, our international webpages are a great place to start. If you have any questions about your study options, your international qualifications, experience, grades or other results, please get in touch through our enquiry form. Our international teams are highly experienced in answering queries from students all over the world.
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.
