- Become a PASS leader in your second or third year. Teaching first-year students reinforces your own mathematical knowledge. It develops communication, organisational and time management skills which can help to enhance your CV when you start applying for jobs
- The Nottingham Internship Scheme provides a range of paid work experience opportunities and internships throughout the year
- The Nottingham Advantage Award is our free scheme to boost your employability. There are over 200 extracurricular activities to choose from
- The University of Nottingham Mathematics Society offers students a chance to enjoy various activities with others also studying mathematics. Examples of events they arrange are formal balls, river cruises, sport and other social activities. They also organise careers events and subject talks by guest speakers featuring popular maths topics.
| Qualification | Entry Requirements | Start Date | UCAS code | Duration | Fees |
|---|---|---|---|---|---|
| BSc Hons | A*AA/AAA/A*AB | September 2025 | G300 | 3 years full-time | TBC |
Faculty of Science
| Qualification | Entry Requirements | Start Date | UCAS code | Duration | Fees |
|---|---|---|---|---|---|
| BSc Hons | A*AA/AAA/A*AB | September 2025 | G300 | 3 years full-time | TBC |
Course information
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This programme will meet the educational requirements of the Chartered Mathematician designation, awarded by the Institute of Mathematics and its Applications, when it is followed by subsequent training and experience in employment to obtain equivalent competences to those specified by the Quality Assurance Agency (QAA) for taught masters degrees.
This programme will meet the educational requirements of the Chartered Mathematician designation, awarded by the Institute of Mathematics and its Applications, when it is followed by subsequent training and experience in employment to obtain equivalent competences to those specified by the Quality Assurance Agency (QAA) for taught masters degrees.
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Start date:September 2025September 2025
-
- IB score
- 34 points overall or 666 in HL certificates
- IB requirements
6 in HL Mathematics Analysis and Approaches
- IELTS
6.5 with no less than 6.0 in each element
English language requirements
As well as IELTS (listed above), we also accept other English language qualifications. This includes TOEFL iBT, Pearson PTE, GCSE, IB and O level English. Check our English language policies and equivalencies for further details.
For presessional English or one-year foundation courses, you must take IELTS for UKVI to meet visa regulations.
If you need support to meet the required level, you may be able to attend a Presessional English for Academic Purposes (PEAP) course. Our Centre for English Language Education is accredited by the British Council for the teaching of English in the UK.
If you successfully complete your presessional course to the required level, you can then progress to your degree course. This means that you won't need to retake IELTS or equivalent.
- High school qualifications
Check our country-specific information for guidance on qualifications from your country.
- A level
- A*AA/AAA/A*AB
- Required subjects
At least A in A level mathematics. Required grades depend on whether A/AS level further mathematics is offered.
A level
Standard offer
A*AA including A* mathematics
or
AAA including mathematics and further mathematics
or
AAA including mathematics, plus A in AS further mathematics
or
A*AB including A*A in any order from mathematics and further mathematics
GCSEs
English 4 (C) or equivalent
- Excluded subjects
General studies, critical thinking, citizenship studies, thinking skills, global perspectives and research
- Additional entry requirements
A level
- A*AA including A* mathematics
- AAA including mathematics and further mathematics
- AAA including mathematics, plus A in AS further mathematics
- A*AB including A*A in mathematics and further mathematics
GCSEs
- English 4 (C) or equivalent
- Non-UK entry requirements
Alternative qualifications
We recognise that applicants have a wealth of different experiences and follow a variety of pathways into higher education.
Consequently we treat all applicants with alternative qualifications (besides A levels and the International Baccalaureate) on an individual basis, and we gladly accept students with a whole range of less conventional qualifications including:
- Access to HE Diploma
- Advanced Diploma
- BTEC HND/HNC
- BTEC Extended Diploma
This list is not exhaustive. The entry requirements for alternative qualifications can be quite specific; for example you may need to take certain modules and achieve a specified grade in those modules. Please contact us to discuss the transferability of your qualification. Please see the alternative qualifications page for more information.
RQF BTEC Nationals
- RQF Level 3 BTEC National Extended Diploma grades D*DD plus A level mathematics grade A*
- RQF Level 3 BTEC National Diploma grades DD plus A level mathematics grade A*
- RQF Level 3 BTEC National Extended Certificate grade D plus A level grades A*A including A* mathematics
Access to HE Diploma
Access to HE Diploma 42 graded Level 3 credits at Distinction and 3 graded Level 3 credits at Merit, plus A level mathematics grade A*
University admissions tests
STEP/MAT/TMUA is not required but may be taken into consideration when offered.
Foundation progression options
If you are an International applicant who does not have the required qualifications or grades for direct entry to this course, you may be interested in the Science and Engineering Foundation Certificate delivered through the University of Nottingham International College.
If you satisfy the progression requirements, you can progress to any of our mathematics courses.
Other foundation year programmes are considered individually, but you must have studied maths at an advanced level (A level standard).
Mature students
At the University of Nottingham, we have a valuable community of mature students and we appreciate their contribution to the wider student population. You can find lots of useful information on the mature students webpage.
Visa restrictions
International students must have valid UK immigration permissions for any courses or study period where teaching takes place in the UK. Student route visas can be issued for eligible students studying full-time courses. The University of Nottingham does not sponsor a student visa for students studying part-time courses. The Standard Visitor visa route is not appropriate in all cases. Please contact the university’s Visa and Immigration team if you need advice about your visa options.
- Access to HE Diploma
- A level
- A*AA/AAA/A*AB
- Required subjects
At least A in A level mathematics. Required grades depend on whether A/AS level further mathematics is offered.
A level
Standard offer
A*AA including A* mathematics
or
AAA including mathematics and further mathematics
or
AAA including mathematics, plus A in AS further mathematics
or
A*AB including A*A in any order from mathematics and further mathematics
GCSEs
English 4 (C) or equivalent
- Excluded subjects
General studies, critical thinking, citizenship studies, thinking skills, global perspectives and research
- IB score
- 34 points overall or 666 in HL certificates
- IB requirements
6 in HL Mathematics Analysis and Approaches
- Additional entry requirements
A level
- A*AA including A* mathematics
- AAA including mathematics and further mathematics
- AAA including mathematics, plus A in AS further mathematics
- A*AB including A*A in mathematics and further mathematics
GCSEs
- English 4 (C) or equivalent
- UK entry requirements
Alternative qualifications
We recognise that applicants have a wealth of different experiences and follow a variety of pathways into higher education.
Consequently we treat all applicants with alternative qualifications (besides A levels and the International Baccalaureate) on an individual basis, and we gladly accept students with a whole range of less conventional qualifications including:
- Access to HE Diploma
- Advanced Diploma
- BTEC HND/HNC
- BTEC Extended Diploma
This list is not exhaustive. The entry requirements for alternative qualifications can be quite specific; for example you may need to take certain modules and achieve a specified grade in those modules. Please contact us to discuss the transferability of your qualification. Please see the alternative qualifications page for more information.
RQF BTEC Nationals
- RQF Level 3 BTEC National Extended Diploma grades D*DD plus A level mathematics grade A*
- RQF Level 3 BTEC National Diploma grades DD plus A level mathematics grade A*
- RQF Level 3 BTEC National Extended Certificate grade D plus A level grades A*A including A* mathematics
Access to HE Diploma
Access to HE Diploma 42 graded Level 3 credits at Distinction and 3 graded Level 3 credits at Merit, plus A level mathematics grade A*
University admissions tests
STEP/MAT/TMUA is not required but may be taken into consideration when offered.
Contextual offers
We make contextual offers to students who may have experienced barriers that have restricted progress at school or college. Our standard contextual offer is usually one grade lower than the advertised entry requirements, and our enhanced contextual offer is usually two grades lower than the advertised entry requirements. To qualify for a contextual offer, you must have Home/UK fee status and meet specific criteria – check if you’re eligible.
Foundation progression options
Engineering and Physical Sciences Foundation (Integrated Honours Programme)
If you are a Home applicant and do not meet the entry requirements for direct entry to this course, you may be interested in researching our Engineering and Physical Sciences foundation programme.
If you satisfy the progression requirements, you can progress to any of our mathematics courses.
Other foundation year programmes are considered individually, but you must have studied maths at an advanced level (A level standard).
Mature students
At the University of Nottingham, we have a valuable community of mature students and we appreciate their contribution to the wider student population. You can find lots of useful information on the mature students webpage.
- Access to HE Diploma
-
UCAS Code:G300G300
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Study abroad
If you are successful in applying to study abroad, you will get the opportunity to broaden your horizons and enhance your CV by experiencing another culture. Teaching is typically in English, but there may be opportunities to study in another language if you are sufficiently fluent.
You can choose to study similar modules to your counterparts in the UK or expand your knowledge by taking other options.
The school you are joining may also have additional study abroad options available. Please visit the school website for more information.
Please note: In order to study abroad you will need to achieve the relevant academic requirements as set by the university and meet the selection criteria of both the university and the partner institution. The partner institution is under no obligation to accept you even if you do meet the relevant criteria.
Finance
You’ll pay a reduced tuition fee for the time that you’re abroad and the university also offers a range of funding opportunities, as well as external funding being available.
Optional placement year
If your course does not have a compulsory placement, integrated year in industry or compulsory year abroad where there is already an opportunity to undertake a work placement as part of that experience, you may be able to apply to undertake an optional placement year where you could gain first-hand experience of exciting challenges and refine the skills you have built so far in the course. While it is the student’s responsibility to find and secure a placement, our Careers and Employability Service will support you throughout this process. Contact placements@nottingham.ac.uk to find out more.
The school/faculty you are joining may also have additional placement opportunities. Please visit the school/faculty website for more information.
Please note: In order to undertake an optional placement year, you will need to achieve the relevant academic requirements as set by the university and meet any requirements specified by the placement host. There is no guarantee that you will be able to undertake an optional placement as part of your course.
Placements
The third year optional module Communicating Mathematics involves a placement in a local school as a teaching assistant.
This placement allows you to gain authentic experience of teaching mathematics, whilst undertaking research to develop your teaching practice and understanding of mathematics education theory.
Please note: Study abroad and the optional placement year may be subject to students meeting minimum academic requirements. Opportunities may change at any time for a number of reasons, including curriculum developments, changes to arrangements with partner universities, travel restrictions or other circumstances outside of the university’s control. Every effort will be made to update information as quickly as possible should a change occur.
Key information
Please be aware that study abroad, compulsory year abroad, optional placements/internships and integrated year in industry opportunities may change at any time for a number of reasons, including curriculum developments, changes to arrangements with partner universities or placement/industry hosts, travel restrictions or other circumstances outside of the university’s control. Every effort will be made to update this information as quickly as possible should a change occur.
Study abroad
If you are successful in applying to study abroad, you will get the opportunity to broaden your horizons and enhance your CV by experiencing another culture. Teaching is typically in English, but there may be opportunities to study in another language if you are sufficiently fluent.
You can choose to study similar modules to your counterparts in the UK or expand your knowledge by taking other options.
The school you are joining may also have additional study abroad options available. Please visit the school website for more information.
Please note: In order to study abroad you will need to achieve the relevant academic requirements as set by the university and meet the selection criteria of both the university and the partner institution. The partner institution is under no obligation to accept you even if you do meet the relevant criteria.
Finance
You’ll pay a reduced tuition fee for the time that you’re abroad and the university also offers a range of funding opportunities, as well as external funding being available.
Optional placement year
If your course does not have a compulsory placement, integrated year in industry or compulsory year abroad where there is already an opportunity to undertake a work placement as part of that experience, you may be able to apply to undertake an optional placement year where you could gain first-hand experience of exciting challenges and refine the skills you have built so far in the course. While it is the student’s responsibility to find and secure a placement, our Careers and Employability Service will support you throughout this process. Contact placements@nottingham.ac.uk to find out more.
The school/faculty you are joining may also have additional placement opportunities. Please visit the school/faculty website for more information.
Please note: In order to undertake an optional placement year, you will need to achieve the relevant academic requirements as set by the university and meet any requirements specified by the placement host. There is no guarantee that you will be able to undertake an optional placement as part of your course.
Placements
The third year optional module Communicating Mathematics involves a placement in a local school as a teaching assistant.
This placement allows you to gain authentic experience of teaching mathematics, whilst undertaking research to develop your teaching practice and understanding of mathematics education theory.
Please note: Study abroad and the optional placement year may be subject to students meeting minimum academic requirements. Opportunities may change at any time for a number of reasons, including curriculum developments, changes to arrangements with partner universities, travel restrictions or other circumstances outside of the university’s control. Every effort will be made to update information as quickly as possible should a change occur.
Key information
Please be aware that study abroad, compulsory year abroad, optional placements/internships and integrated year in industry opportunities may change at any time for a number of reasons, including curriculum developments, changes to arrangements with partner universities or placement/industry hosts, travel restrictions or other circumstances outside of the university’s control. Every effort will be made to update this information as quickly as possible should a change occur.
-
* For full details including fees for part-time students and reduced fees during your time studying abroad or on placement (where applicable), see our fees page.
If you are a student from the EU, EEA or Switzerland, you may be asked to complete a fee status questionnaire and your answers will be assessed using guidance issued by the UK Council for International Student Affairs (UKCISA).
Additional costs
As a student on this course, you should factor some additional costs into your budget, alongside your tuition fees and living expenses.
Books
You should be able to access most of the books you’ll need through our libraries, though you may wish to purchase your own copies.
Printing
Due to our commitment to sustainability, we don’t print lecture notes but these are available digitally.
Study abroad
If you study abroad, you need to consider the travel and living costs associated with your country of choice. This may include visa costs and medical insurance.
Equipment
To support your studies, the university recommends you have a suitable laptop to work on when on or off campus. If you already have a device, it is unlikely you will need a new one in the short term. If you are looking into buying a new device, we recommend you buy a Windows laptop, as it is more flexible and many software packages you will need are only compatible with Windows.
Although you won’t need a very powerful computer, it is wise to choose one that will last. The University has prepared a set of recommended specifications to help you choose a suitable laptop.
If you are experiencing financial difficulties and you are struggling to manage your costs, the Hardship Funds may be able to assist you.
Scholarships and bursaries
School scholarships
We offer an international orientation scholarship of £2,000 to the best international (full-time, non EU) applicants on this course.
It will be paid at most once for each year of study. If you repeat a year for any reason, the scholarship will not be paid for that repeated year. The scholarship is awarded in subsequent years to students who perform well academically (at the level of a 2:1 Hons degree or better at the first attempt).
The scholarship will be paid in December each year provided you have:
- completed your registration
- been recorded as a student on a relevant course in the 1 December census
- paid the first instalment of your fee
International students
We offer a range of international undergraduate scholarships for high-achieving international scholars who can put their Nottingham degree to great use in their careers.
Tuition fees 2025/26 (UK undergraduate students)
The UK Government is intending to increase the tuition fee cap for UK undergraduate and Initial Teacher Training students studying in England to £9,535 for the 2025/26 academic year. This is an increase of £285 per year. Course pages will be updated to reflect the latest tuition fees as more information becomes available. For more information, visit the Government’s website and take a look at our FAQs.
* For full details including fees for part-time students and reduced fees during your time studying abroad or on placement (where applicable), see our fees page.
If you are a student from the EU, EEA or Switzerland, you may be asked to complete a fee status questionnaire and your answers will be assessed using guidance issued by the UK Council for International Student Affairs (UKCISA) .
Additional costs
As a student on this course, you should factor some additional costs into your budget, alongside your tuition fees and living expenses.
Books
You should be able to access most of the books you’ll need through our libraries, though you may wish to purchase your own copies.
Printing
Due to our commitment to sustainability, we don’t print lecture notes but these are available digitally.
Study abroad
If you study abroad, you need to consider the travel and living costs associated with your country of choice. This may include visa costs and medical insurance.
Equipment
To support your studies, the university recommends you have a suitable laptop to work on when on or off campus. If you already have a device, it is unlikely you will need a new one in the short term. If you are looking into buying a new device, we recommend you buy a Windows laptop, as it is more flexible and many software packages you will need are only compatible with Windows.
Although you won’t need a very powerful computer, it is wise to choose one that will last. The University has prepared a set of recommended specifications to help you choose a suitable laptop.
If you are experiencing financial difficulties and you are struggling to manage your costs, the Hardship Funds may be able to assist you.
Scholarships and bursaries
School scholarships
We offer an international orientation scholarship of £2,000 to the best international (full-time, non EU) applicants on this course.
It will be paid at most once for each year of study. If you repeat a year for any reason, the scholarship will not be paid for that repeated year. The scholarship is awarded in subsequent years to students who perform well academically (at the level of a 2:1 Hons degree or better at the first attempt).
The scholarship will be paid in December each year provided you have:
- completed your registration
- been recorded as a student on a relevant course in the 1 December census
- paid the first instalment of your fee
Home students*
Over one third of our UK students receive our means-tested core bursary, worth up to £1,000 a year. Full details can be found on our financial support pages.
* A 'home' student is one who meets certain UK residence criteria. These are the same criteria as apply to eligibility for home funding from Student Finance.
Course overview
Statistics plays an essential role in data analytics, healthcare modelling and artificial intelligence. On this accredited degree, you will learn the fundamentals of statistics and data analysis and study advanced techniques in probability and uncertainty modelling. You'll also explore core areas of applied statistics.
You can tailor your choice of optional modules to suit your interests and career plans. You can even choose subjects, such as a language, that will broaden your skills and enhance your CV further.
About statistics at the University of Nottingham
Our lecturers are experts in data analysis and modelling. You'll learn from them through a combination of lectures, problem classes and tutorials. You will put the statistical and probability theory you've learnt into practice. Working in our computer labs will give you hands-on experience of using statistical software.
Course overview
Statistics plays an essential role in data analytics, healthcare modelling and artificial intelligence. On this accredited degree, you will learn the fundamentals of statistics and data analysis and study advanced techniques in probability and uncertainty modelling. You'll also explore core areas of applied statistics.
You can tailor your choice of optional modules to suit your interests and career plans. You can even choose subjects, such as a language, that will broaden your skills and enhance your CV further.
Courses for students, by students
Our co-created curriculum is redefining studying maths. Imagine being part of a vibrant community where students have actively shaped the degree programmes.
We believe in collaboration, and that's why our students, industry professionals, and alumni joined forces with our dedicated staff to design degrees suitable for the real world. As you would expect there is emphasis on mathematical concepts and techniques, but with a practical application too.
About statistics at the University of Nottingham
Our lecturers are experts in data analysis and modelling. You'll learn from them through a combination of lectures, problem classes and tutorials. You will put the statistical and probability theory you've learnt into practice. Working in our computer labs will give you hands-on experience of using statistical software.
You can expand your skills even further with a work placement opportunity. Alternatively you may choose to spend time overseas by applying to study for a semester abroad.
Putting your skills into practice
There are many opportunities to work collectively with other students and academic staff to tackle complex problems from industry and academia. We work closely with our industrial partners and alumni to ensure the course is aligned to employer needs, so you can enter the workplace confident in the skills and knowledge you have gained.
Why choose this course?
- Attend guest lectures join talks and workshops run by our Industrial Advisory Group and alumni
- Hands-on experience through optional work placement year
- Transferable skills in group work, presentations and projects
- Spend time abroad opportunities to gain confidence and amazing experiences
- PASS students in higher years help with first-year topics and support you to settle in: Peer-Assisted Study Support programme
- Learn a language broaden your career options by learning a language alongside your degree
Important information
This online prospectus has been drafted in advance of the academic year to which it applies. Every effort has been made to ensure that the information is accurate at the time of publishing, but changes (for example to course content) are likely to occur given the interval between publishing and commencement of the course. It is therefore very important to check this website for any updates before you apply for the course where there has been an interval between you reading this website and applying.
Indicative modules
Year one
Year two
Year three
Mandatory
Year 1
Applied Mathematics
Mandatory
Year 1
Core Mathematics
Mandatory
Year 1
Probability and Statistics 1
Optional
Year 1
Algebra
Mandatory
Year 2
Complex Analysis
Mandatory
Year 2
Markov Chains
Mandatory
Year 2
Methods for Probability and Statistics
Mandatory
Year 2
Real analysis
Mandatory
Year 2
Scientific Computation
Mandatory
Year 2
Linear Models
Optional
Year 2
Classical and Quantum Mechanics
Optional
Year 2
Differential Equations 1
Optional
Year 2
Vector Calculus and Electromagnetism
Mandatory
Year 3
Mathematics Group Projects
Optional
Year 3
Advanced Quantum Theory
Optional
Year 3
Applied Statistical Modelling
Optional
Year 3
Coding and Cryptography
Optional
Year 3
Communicating Mathematics
Optional
Year 3
Game Theory
Optional
Year 3
Mathematical Finance
Optional
Year 3
Mathematical Medicine and Biology
Optional
Year 3
Multivariate Analysis
Optional
Year 3
Optimisation
Optional
Year 3
Relativity
Optional
Year 3
Scientific Computation and Numerical Analysis
Optional
Year 3
Statistical Inference
Optional
Year 3
Stochastic Models
Optional
Year 3
Time Series Analysis
About modules
The above is a sample of the typical modules we offer, but is not intended to be construed or relied on as a definitive list of what might be available in any given year. This content was last updated on Thursday 25 July 2024. Due to timetabling availability, there may be restrictions on some module combinations.
You may be able to choose to study a language as part of this degree.
Learning another language can open career opportunities around the globe and enriches your CV. It could also help you in your studies by being able to access learning materials in other languages.
If you are planning to travel or work abroad it will help you to broaden your cultural understanding.
Our Language Centre offers many languages, and you may start as a beginner or at a more advanced level.
Find out more about learning a language as part of your degree
Applied Mathematics
Core Mathematics
Probability and Statistics 1
Algebra
You’ll learn how to construct and analyse differential and difference equations that model real-world systems. Applications that you’ll learn about include systems governed by Newton’s laws of motion, such as sets of interacting particles and the orbits of planets, as well as models of population dynamics. You will also be introduced to the mathematical basis of concepts such as work and energy, including an introduction to the basic ideas of quantum mechanics.
Calculus provides the basic, underpinning mathematics for much of modern technology, from the design of chemical reactors and high-speed trains to models for gene networks and space missions. The basic ideas that underpin calculus are functions and limits, and to study these rigorously you need to learn about the tools of mathematical analysis. In this module, in addition to differential equations and the calculus of functions of one or more variables and their differentiation, integration and analysis, you will learn the basics of logic and how to construct rigorous proofs.
Linear algebra underpins many areas of modern mathematics. The basic objects that you will study in this module are vectors, matrices and linear transformations. Topics covered include vector geometry, matrix algebra, vector spaces, linear systems of equations, eigenvalues and eigenvectors, and inner product spaces. The mathematical tools that you study in this module are fundamental to many mathematical, statistical, and computational models of the real world.
There is no area of modern mathematics that does not use computational methods to make progress on problems with which the human brain is unable to cope due to the volume of calculations required. Scientific computation underpins many technological developments in all sectors of the economy. You will learn how to write code for mathematical applications using Python. Python is a freely available, widely used computer language. No previous computing knowledge will be assumed.
Probability theory allows us to assess risk when calculating insurance premiums. It can help when making investment decisions. It can be used to estimate the impact that government policy will have on climate change or the spread of disease. In this module, you will study the theory and practice of discrete and continuous probability, including topics such as Bayes’ theorem, multivariate random variables, probability distributions and the central limit theorem.
Statistics is concerned with methods for collecting, organising, summarising, presenting and analysing data. It enables us to draw valid conclusions and make reasonable decisions based on statistical analysis. It can be used to answer a diverse range of questions in areas such as the pharmaceuticals industry, economic planning and finance. In this module you’ll study statistical inference and learn how to analyse, interpret and report data. Topics that you’ll learn about include, point estimators and confidence intervals, hypothesis testing, linear regression and goodness-of-fit tests.
Pure mathematics at university is typically very different to the pure mathematics you've learnt at school or college. In this module, you'll use the language of sets, functions and relations to study abstract mathematical ideas. You will also learn how to construct mathematical proofs. Topics that you will learn about include set theory, prime numbers, symmetry and groups, and integer and polynomial arithmetic.
Complex Analysis
Markov Chains
Methods for Probability and Statistics
Real analysis
Scientific Computation
Linear Models
Classical and Quantum Mechanics
Differential Equations 1
Vector Calculus and Electromagnetism
This course introduces the theory and applications of functions of a complex variable, using an approach oriented towards methods and applications. You will also learn about functions of complex variables and study topics including, analyticity, Laurent series, contour integrals and residue calculus and its applications.
The purpose of this module is to provide a thorough grounding in a broad range of techniques required in the analysis of probabilistic models, and to introduce stochastic processes by studying techniques and concepts common in the analysis of discrete time Markov Chains.
In this module you will develop your understanding of probability theory and random variables, with particular attention paid to continuous random variables. Fundamental concepts relating to probability will be discussed in detail, including limit theorems and the multivariate normal distribution. You will also meet some new statistical concepts and methods. The key concepts of inference including estimation and hypothesis testing will be described as well as practical data analysis and assessment of model adequacy.
In this module you will further develop your understanding of the tools of real analysis. This provides you with a solid foundation for subsequent modules in metric and topological spaces, relativity, and numerical analysis. You’ll study topics such as the Bolzano-Weierstrass Theorem, norms, sequences and series of functions, differentiability, and the Riemann integral.
Most mathematical problems cannot be solved analytically or would take too long to solve by hand. Instead, computational algorithms must be used. In this module, you’ll learn about algorithms for approximating functions, derivatives, and integrals, and for solving many types of algebraic and ordinary differential equations.
In this module, you will be introduced to a wide range of statistical concepts and methods fundamental to applications of statistics, and meet the key concepts and theory of linear models, illustrating their application via practical examples drawn from real-life situations.
In this module you will learn how Newtonian mechanics can be developed into the more powerful formulations due to Lagrange and Hamilton and be introduced to the basic structure of quantum mechanics. The module provides the foundation for a wide range of more advanced modules in mathematical physics.
This module is an introduction to methods of solving some of the most important ordinary and partial differential equations that occur in applied mathematics and mathematical physics. You will learn about finding series solutions to ordinary differential equations, Fourier series representation of functions, and Fourier and Laplace transforms, using them to solve ordinary and partial differential equations.
This module provides a grounding in the techniques of vector calculus and illustrates their use by developing the theory of electromagnetism and Maxwell’s equations. You will be introduced to the vector differentiation operations of gradient, divergence and curl, integration methods for scalar and vector quantities over paths, surfaces and volumes, and the relationship of these operations to each other via the integral theorems of Green, Stokes and Gauss. These concepts will be illustrated through examples drawn from the theory of electromagnetism
Mathematics Group Projects
Advanced Quantum Theory
Applied Statistical Modelling
Coding and Cryptography
Communicating Mathematics
Game Theory
Mathematical Finance
Mathematical Medicine and Biology
Multivariate Analysis
Optimisation
Relativity
Scientific Computation and Numerical Analysis
Statistical Inference
Stochastic Models
Time Series Analysis
This module involves the application of mathematics to a variety of practical, open-ended problems - typical of those that mathematicians encounter in industry and commerce.
Specific projects are tackled through workshops and student-led group activities. The real-life nature of the problems requires you to develop skills in model development and refinement, report writing and teamwork. There are various streams within the module, for example:
- Pure Mathematics
- Applied Mathematics
- Data Analysis
- Mathematical Physics
This ensures that you can work in the area that you find most interesting.
In this module you will apply the quantum mechanics that you learned in Year 2 to more general problems. New topics will be introduced such as the quantum theory of the hydrogen atom and aspects of angular momentum such as spin.
During this module you will build on your theoretical knowledge of statistical inference by a practical implementation of the generalised linear model. You will progress to enhance your understanding of statistical methodology including the analysis of discrete and survival data. You will also be trained in the use of a high-level statistical computer program.
This module provides an introduction to coding theory in particular to error-correcting codes and their uses and applications. You’ll learn cryptography, including classical mono- and polyalphabetic ciphers. There will also be a focus on modern public key cryptography and digital signatures, their uses and applications.
This course provides an opportunity for third-year students to gain first-hand experience of being involved with providing mathematical education. Students will work at local schools alongside practising mathematics teachers in a classroom environment and will improve their skills at communicating mathematics. Typically, each student will work with a class (or classes) for half a day a week for about sixteen weeks. Students will be given a range of responsibilities from classroom assistant to leading a self-originated mathematical activity or project. The assessment is carried out by a variety of means: on-going reflective log, contribution to reflective seminar, oral presentation and a final written report.
Game theory contains many branches of mathematics (and computing); the emphasis here is primarily algorithmic. The module starts with an investigation into normal-form games, including strategic dominance, Nash equilibria, and the Prisoner’s Dilemma. We look at tree-searching, including alpha-beta pruning, the ‘killer’ heuristic and its relatives. It then turns to mathematical theory of games; exploring the connection between numbers and games, including Sprague-Grundy theory and the reduction of impartial games to Nim.
You will explore the concepts of discrete time Markov chains to understand how they used. We will also provide an introduction to probabilistic and stochastic modelling of investment strategies, and for the pricing of financial derivatives in risky markets.
You will gain well-rounded knowledge of contemporary issues which are of importance in research and workplace applications.
Mathematics can be usefully applied to a wide range of applications in medicine and biology.
Without assuming any prior biological knowledge, this module describes how mathematics helps us understand topics such as:
- population dynamics
- biological oscillations
- pattern formation
- nonlinear growth phenomena
There is considerable emphasis on model building and development.
This module is concerned with the analysis of multivariate data, in which the response is a vector of random variables rather than a single random variable. A theme running through the module is that of dimension reduction.
Key topics to be covered include:
- principal components analysis
- modelling and inference for multivariate data
- classification of observation vectors into sub-populations using a training sample
- canonical correlation analysis
- factor analysis
- methods of clustering
- multidimensional scaling
In this module a variety of techniques and areas of mathematical optimisation will be covered including Lagrangian methods for optimisation, simplex algorithm linear programming and dynamic programming. You’ll develop techniques for application which can be used outside the mathematical arena.
You will be introduced to Einstein’s theory of general and special relativity. The relativistic laws of mechanics will be described within a unified framework of space and time. You’ll learn how to compare other theories against this work and you’ll be able to explain exciting new phenomena that occur in relativity.
You'll learn how to use numerical techniques for determining the approximate solution of ordinary and partial differential equations where a solution cannot be found through analytical methods alone. You will also cover topics in numerical linear algebra, discovering how to solve very large systems of equations and find their eigenvalues and eigenvectors using a computer.
This module is concerned with the two main theories of statistical inference, namely classical (frequentist) inference and Bayesian inference.
You will explore the following topics in detail:
- sufficiency
- estimating equations
- likelihood ratio tests
- best-unbiased estimators
There is special emphasis on the exponential family of distributions, which includes many standard distributions such as the normal, Poisson, binomial and gamma.
This module will develop your knowledge of discrete-time Markov chains by applying them to a range of stochastic models. You will be introduced to Poisson and birth-and-death processes. You will then move onto more extensive studies of epidemic models and queuing models, with introductions to component and system reliability.
This module will provide a general introduction to the analysis of data that arise sequentially in time. Several commonly occurring models will be discussed and their properties derived. Methods for model identification for real time series data will be described. Techniques for estimating the parameters of a model, assessing its fit and forecasting future values will be developed. You will gain experience of using a statistical package and interpreting its output.
You will broaden and deepen your knowledge of statistical ideas and techniques using a wide variety of different methods of study. Teaching is predominantly in-person, supplemented by online methods (such as flipped learning) where appropriate.
In both academia and the wider world of work, mathematics has become a collaborative discipline, and our degree programme takes this into account. As well as more traditional individual study methods, where you work on challenging mathematical problems, you will also collaborate with other students in group problem solving sessions. You will write about your work in reports and present your findings to your study group.
Here’s just some of the changes we have introduced to the degrees to ensure you get the most out of your mathematical learning:
- Interactive classes
- Practical applications
- Assessment by coursework and exams
- Group project
Teaching methods
- Computer labs
- Lectures
- Tutorials
- Problem classes
- Seminars
- Workshops
- Placements
Years one and two
60% of the first and second years are assessed by examination, whilst the remaining marks are gained from coursework, computing assignments and small-scale group projects.
Year three
The third year will be assessed using a combination of examinations, coursework, computing assignments, group projects and presentations. The specific combination of learning activities will depend on your choice of modules and will be aligned with the topics covered.
The first year is a qualifying year but does not count towards your final degree classification. Your final degree classification will be based on marks gained for your second and subsequent years of study. Year two is worth 33% with year three worth 67% of your final marks.
You will be given a copy of our marking criteria which provides guidance on how your work is assessed. Your work will be marked in a timely manner and you will have regular opportunities to give and receive feedback on your progress with your tutor and lecturers.
Assessment methods
- Coursework
- Group project
- Poster Presentation
- Research project
- Written exam
- Presentation
The majority of modules are worth 10 or 20 credits. You will study modules totalling 120 credits in each year. As a guide one credit equates to approximately 10 hours of work. During the first year, you will typically spend approximately:
- 15 hours each week in lectures and interactive learning sessions
- 2 hours each week in mathematical skills workshops
- 1 hour each week in a tutorial with your personal tutor
- 1 hour each fortnight in student-led academic mentoring Peer-Assisted Study Support (PASS)
You can attend drop-in sessions each week up to a maximum of two hours and the remaining time will be spent in independent study.
In later years, you are likely to spend up to 15 hours per week in lectures and workshops subject to your module selection.
In your first year you will meet with your personal tutor every week during term time. In small groups of 5-6 students, you'll run through core topics and practice working together in a group to solve problems and communicate mathematics effectively.
All of our modules are delivered by lecturers or professors. PhD students sometimes support problem classes and computing workshops in their areas of expertise. Lectures in the first two years often include at least 200 students but class sizes are much more variable in the third year subject to module selection.
Mathematics is a broad and versatile subject leading to many possible careers. Skilled mathematicians are found in a variety of organisations, in lots of different sectors.
As this is a new degree programme based on the main BSc course, our students are yet to graduate. Our standard BSc graduates are helping to shape the future in many sectors including data analysis, finance and IT. Many work in science, engineering or consultancy, others pursue careers within government departments. Some graduates choose a career in mathematical research.
The knowledge and skills that you will gain during this degree, can typically lead to roles working as:
- Actuarial analyst
- Data analyst
- Financial analyst
- Junior software consultant
- Leading aircraft engineering technician
- Maths teacher
- Tax consultant
- Trainee operational meteorologist
Read our alumni profiles for the sort of jobs our graduates go on to do.
Average starting salary and career progression
86.40% of undergraduates from the School of Mathematical Sciences secured employment or further study within 15 months of graduation. The average annual salary for these graduates was £27,490.
HESA Graduate Outcomes (2017-2021 cohorts). The Graduate Outcomes % is calculated using The Guardian University Guide methodology. The average annual salary is based on graduates working full-time within the UK.
Studying for a degree at the University of Nottingham will provide you with the type of skills and experiences that will prove invaluable in any career, whichever direction you decide to take.
Throughout your time with us, our Careers and Employability Service can work with you to improve your employability skills even further; assisting with job or course applications, searching for appropriate work experience placements and hosting events to bring you closer to a wide range of prospective employers.
Have a look at our careers page for an overview of all the employability support and opportunities that we provide to current students.
The University of Nottingham is consistently named as one of the most targeted universities by Britain’s leading graduate employers (Ranked in the top ten in The Graduate Market in 2013-2020, High Fliers Research).
Your Campus - University Park
University Park Campus covers 300 acres, with green spaces, wildlife, period buildings and modern facilities. It is one of the UK's most beautiful and sustainable campuses, winning a national Green Flag award every year since 2003.
Your Campus - University Park
University Park Campus covers 300 acres, with green spaces, wildlife, period buildings and modern facilities. It is one of the UK's most beautiful and sustainable campuses, winning a national Green Flag award every year since 2003.
Course data
Help and support
If you’re looking for more information, please head to our help and support hub, where you can find frequently asked questions or details of how to make an enquiry.
Help and support
If you’re looking for more information, please head to our help and support hub, where you can find frequently asked questions or details of how to make an enquiry.
