Mathematics (with Foundation Year) BSc (Hons)
- Level(s) of Study: Undergraduate
- UCAS Code(s): G101
- Start Date(s): September 2024
- Duration: Four years full-time
- Study Mode(s): Full-time / Sandwich
- Campus: Clifton Campus
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Entry Requirements:
More information
Introduction:
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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Top 20 for student satisfaction in Mathematics (National Student Survey, 2022) -
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. -
97% of our mathematics students were in work or further study 15 months after graduation (Graduate Outcomes Survey 2020/21).
What you’ll study
Introductory Mathematics
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
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.
Foundation Science
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.
Computational Mathematics
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.
Practical and Professional Skills
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 Abstract Algebra
You will be introduced to the world of rigorous mathematics, as well as the theory to help you learn about the most important algebraic structures; groups and vector spaces.
Introduction to Numerical Methods
Learn about important numerical methods for solving mathematical problems and develop computational skills using specialist mathematical software packages.
Investigations in Analysis
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.
Mathematical Methods
This module aims to consolidate and extend your previous knowledge of calculus and linear algebra, with emphasis on the underlying intuition of the techniques.
Data Analysis
This provides you with an introduction to important statistical ideas and their application using modern software. You will explore data analysis, probability, statistical inference and statistical modelling.
Vector Algebra and Calculus
Gain a basic knowledge of vector algebra and vector calculus and learn how to apply these techniques to physical situations.
Advanced Calculus
Broaden your knowledge, understanding and skills in advanced higher calculus to topics including Fourier series, partial differential equations and complex analysis.
Linear Algebra and its Applications
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 through the application of linear algebra to linear codes.
Numerical Methods for Ordinary Differential Equations
You will further develop your computational and professional skills and enhance your knowledge of specialist numerical software
packages.
Differential Equations and Transform Methods
Extend your knowledge of calculus, differential equations and linear algebra, and gain an introduction to difference equations, the Eigen problem and transform methods.
Mathematical Enterprise
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.
Probability and Statistical Inference
Refine your knowledge of statistical inference and statistical modelling and further develop essential computational and IT skills.
Core Module
Project in Mathematics
The final year project gives you the opportunity to demonstrate and document your skills, knowledge and understanding of mathematics, and show your planning, organisation and problem-solving abilities.
Choose one module from:
Professional Mathematics Skills
Gain a broad view of the practical applications of Mathematics in the real world, especially in industrial contexts such as Finance, Physics and Engineering.
Communicating Science and Technology
This module will be of interest to you if you are considering a career in teaching and / or want to develop your portfolio of transferable skills.
Choose one module from:
Linear Systems
You will continue your previous studies in the fields of linear algebra and differential and difference equations.
Statistical Modelling
This module will help you to recognise and understand the principal methods of analysis for medical and financial data, including the analysis of survival data and dealing with large, complex datasets.
Topics in Mathematical Biology
Examine the use of differential equations and their application to biological systems. Learn about network models for a range of biological processes, including models of drug delivery, tumour growth and multicellular systems.
Mathematical Recipes
An introduction to six important theoretical mathematical methods and their wide-ranging applications, primarily in physics and engineering.
Choose one module from:
Numerical Analysis and Dynamical Systems
Develop your knowledge of numerical methods with an emphasis on numerical optimisation techniques, advanced methods for the numerical solution of ordinary differential equations and the application of methods to non-linear problems.
Stochastic Processes
Extend your understanding of probabilistic modelling to include stochastic processes and learn advanced techniques for investigating the behaviour of stochastic processes.
Quantum Computing and Cryptography
This module provides an introduction to the theory of cryptography and quantum computation. These topics will build on and extend your knowledge and understanding of key mathematical ideas that were introduced in the earlier years of the course.
Choose one module from:
Computational Statistics and Data Analysis
Explore topics from computational statistics and statistical models relevant to modern applications, with an emphasis on developing a solid conceptual understanding of these methods through applications.
Differential and Integral Equations
Apply your knowledge of advanced calculus and differential equations to the solution of differential and integral equations.
Optimisation
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, as well as the practical modelling aspects, and the algorithm analysis and design.
Choose one module from:
Applied Statistics
Extends your experience of statistical techniques and methodologies, applying them in a diverse range of industrial and commercial contexts.
Partial Differential Equations
Partial differential equations are an important topic in both pure and applied mathematics. This topic builds on the introduction given in Advanced Calculus to consider linear partial equations in non-trivial domains and to introduce methods of analysing nonlinear first-order partial differential equations.
Graph Theory and Combinatorics
This module provides an introduction to a selection of research-informed topics in pure mathematics and aims to extend and complement ideas introduced in years 1 and 2. It provides a blend of mathematical concepts and techniques that are widely applicable in areas such as data science, operational research, chemistry, engineering, computer science, information technology, statistics, sociology and genetics.
How you’re taught
You’ll spend between 14 and 16 hours every week in lectures, seminars, practical sessions, and workshops. The seminar groups are sessions where you’ll meet with your lecturer and 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.
Contact hours
Year 1 - lectures/seminars/workshops (30%) and independent study (70%)
Year 2 - lectures/seminars/workshops (33%) and independent study (67%)
Year 3 - lectures/seminars/workshops (35%) and independent study (65%)
Year 4 - lectures/seminars/workshops (23%) and independent study (77%)
A placement year may be taken between year 3 and year 4 of study
How you’re assessed
We want you to graduate with a range of transferable skills, so all of the Mathematics modules have two or three assessment components that help you to demonstrate your knowledge in a variety of ways. As well as traditional exams and in-class tests, you’ll complete assignments and group projects, and give presentations. In your final year, you’ll also complete your mathematics project with the support of your personal tutor.
- Year 1 - coursework (60%) and written (40%)
- Year 2 - coursework (28%) and written (72%)
- Year 3 - coursework (32%) and written (68%)
- Year 4 - coursework (35%) and written (65%)
- A placement year may be taken between year 3 and year 4 of study
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.
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
Entry requirements
- 72 UCAS tariff points from three A-levels or equivalent
- GCSEs – Maths grade B/6 and English C/4
To find out what qualifications have tariff points, please use our tariff calculator.
Other qualifications and experience
We may also consider credits achieved at other universities and your work/life experience through an assessment of prior learning. This may be for year one entry, or beyond the beginning of a course where applicable, for example, into year 2. Our Recognition of Prior Learning and Credit Transfer Policy outlines the process and options available for this route.
Getting in touch
If you need more help or information, get in touch through our enquiry form
- 72 UCAS tariff points from three A-levels or equivalent
- GCSEs – Maths grade B/6 and English C/4
International qualifications
We accept qualifications from all over the world – check yours here:
Undergraduate preparation courses (Foundation)
If you don’t yet meet our entry requirements, we offer Foundation courses through our partner Nottingham Trent International College (NTIC), based on our City Campus:
English language entry requirements
You can meet our language requirements by successfully completing our pre-sessional English course for an agreed length of time, or by submitting the required grade in one of our accepted English language tests, such as IELTS:
Advanced standing (starting your undergraduate degree in year 2 or 3)
You may be able to start your undergraduate course in year 2 or 3 based on what you have studied before. This decision would be made in accordance with our Recognition of Prior Learning and Credit Transfer Policy.
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.
- Complete this simple form to keep in touch with the International Office.
Fees and funding
Preparing for the financial side of student life is important, but there’s no need to feel anxious and confused about it. We hope that our fees and funding pages will answer all your questions.
Getting in touch
For more advice and guidance, you can contact our Student Financial Support Service on telephone +44 (0)115 848 2494.
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.
Library books
Most study modules will recommend one or more core text books, 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 text books, 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.
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.
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. Placement opportunities are available in the UK and overseas. Travel grants and Erasmus funding may be available to help fund international travel costs.
Print and copy costs
The University allocates an annual printing and copying allowance of £20 depending on the course you are studying. Students will also be required to pay additional costs for printing, poster preparation and final dissertation copies in their final year - estimated costs approximately £20 - £50. For more details about costs for additional print and copying required over and above the annual allowance please see the Printing, photocopying and scanning information on the Library website.
Other
Students will require a basic scientific calculator for use in examinations (e.g. Casio 83 or 85 series, approximately £15).
Tuition fees
Tuition fees are payable for each year that you are at the University. The level of tuition fees for the second and subsequent years of your undergraduate course may increase in line with inflation and as specified by the UK government. See our fees.
Scholarships
We offer scholarships of up to 50% of your tuition fee. You can apply for your scholarship when you have an offer to study at NTU.
Living costs
Get advice on the cost of living as an international student in Nottingham and how to budget:
Paying fees
Find out about advanced payments, instalment plan options and how to make payments securely to the University:
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.
- Complete this simple form to keep in touch with the International Office.
What do the course fees cover?
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.
Library books
Most study modules will recommend one or more core text books, 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 text books, 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.
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.
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. Placement opportunities are available in the UK and overseas. Travel grants and Erasmus funding may be available to help fund international travel costs.
Print and copy costs
The University allocates an annual printing and copying allowance of £20 depending on the course you are studying. Students will also be required to pay additional costs for printing, poster preparation and final dissertation copies in their final year - estimated costs approximately £20 - £50. For more details about costs for additional print and copying required over and above the annual allowance please see the Printing, photocopying and scanning information on the Library website.
Other
Students will require a basic scientific calculator for use in examinations (e.g. Casio 83 or 85 series, approximately £15).
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 instructions for applying. 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 you’ve applied, we’ll be sending 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 you've applied, we'll be sending 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.
- Complete this simple form to keep in touch with the International Office.
The University's commitment to delivering the educational services advertised.