Triangle

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.

You can expand your skills even further with a work placement. Alternatively you may choose to spend time overseas with 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.

Book your place on our virtual maths masterclass

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

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


Entry requirements

All candidates are considered on an individual basis and we accept a broad range of qualifications. The entrance requirements below apply to 2023 entry.

UK entry requirements
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.

IB score IB 36; 6 in maths at Higher Level. For students studying the International Baccalaureate we require Higher Level Maths Analysis and Approaches.

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 Mathematics and Further Mathematics

A level General Studies, Critical Thinking and Citizenship Studies are not accepted.

GCSEs

English 4 (C) (or equivalent)

University admissions tests

STEP/MAT/TMUA is not required but may be taken into consideration when offered.

Contextual offers

A Levels - AAB including A in Mathematics or Further Mathematics

This type of offer is given to students who meet our contextual admissions or elite athlete criteria.

Find out more about contextual offers at University of Nottingham

Alternative qualifications

In all cases we require applicants to have at least the equivalent of A level Mathematics, so we typically only accept alternative qualifications when combined with an appropriate grade in A level Mathematics.

Foundation progression options

If you don't meet our entry requirements there is the option to study the Engineering and Physical Sciences Foundation Programme. If you satisfy the progression requirements, you can progress to any of our mathematics courses.

There is a course for UK students and one for EU/International students.

Other foundation year programmes are considered individually, but you must have studied maths at an advanced level (up to A-level standard).

Learning and assessment

How you will learn

You will broaden and deepen your knowledge of statistical ideas and techniques using a wide variety of different methods of study.

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.

Teaching methods

  • Computer labs
  • Lectures
  • Tutorials
  • Problem classes
  • Seminars
  • Workshops
  • Placements

How you will be assessed

Year 1

Two thirds of the first year is assessed by examination, whilst the remaining marks are gained from coursework, computing assignments and small-scale group projects.

Years 2 and 3

Subsequent years 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
  • Written exam
  • Research project
  • Presentation

Contact time and study hours

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:

  • 12 hours a week in lectures
  • 4 hours a week in problem classes
  • 1 hour each week in tutorials with your personal tutor
  • 1 hour a week in computing workshops across the Autumn and Spring terms
  • 1 hour each fortnight in student-led academic mentoring Peer-Assisted Study Support (PASS)

You can attend optional drop-in sessions each week up to a maximum of three hours and the remaining time will be spent in independent study.

In later years, you are likely to spend approximately 12 hours per week in lectures, 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.

 

Study abroad

You have the opportunity to apply to study abroad as part of this course, living and learning in a different culture.

Benefits of studying abroad

  • Gain a global perspective of mathematics
  • Meet new people from all over the world
  • Improve your communication skills, confidence and independence

We provide support throughout the process, including an academic advisor and a dedicated team to help you with the practicalities.

International semester abroad

You can apply to spend part of your third year abroad. This could be at one of our international partner universities, studying in English; or at one of our European partners, which will give you the unique opportunity to combine mathematics with learning a foreign language.

Possible destinations include:

  • Australia
  • Canada
  • France
  • Germany
  • Italy
  • New Zealand
  • Singapore
  • Spain
  • USA

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. 

Year in industry

A placement year can improve your employability.

You can apply to do a placement year between years two and three. This would add an extra year to your degree. You'll pay a reduced tuition fee for this year.

It is your responsibility to find a position but you'll have help from the school and the Careers and Employability Service. It could be in the UK or abroad. While on placement, you'll be supported by a Placement Tutor.

If you are interested in spending a year in industry as part of your degree, find out more about the Optional placement year.

Placements

Some students choose to do a summer placement to improve their employability. The Careers and Employability service can help you with this.

Find out more

Study Abroad and the Year in Industry are 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.

Modules

You will study the following core mathematics modules during your first year. Through these core modules you will gain foundational knowledge and skills to pursue advanced topics in any area of mathematics and statistics in subsequent years.

You will also have the chance to choose some modules, such as a language, from outside of mathematics.

Core modules

Analysis and Calculus

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. To study these rigorously you need to learn about the tools of mathematical analysis. 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.

Applied Mathematics

You’ll learn how to construct and analyse differential 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.

Linear Algebra

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
  • 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.

Probability 1

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. 

You will study the theory and practice of discrete and continuous probability, including topics such as:

  • Bayes’ theorem
  • multivariate random variables
  • probability distributions
  • the central limit theorem
Programming for Mathematics

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'll 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. It will be used throughout your degree programme.

Statistics 1

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. 

The module covers statistical inference, you'll learn how to analyse, interpret and report data. Topics that you’ll learn about include:

  • point estimators and confidence intervals
  • hypothesis testing
  • linear regression
  • goodness-of-fit tests

Optional modules

Pure Mathematics

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
  • rings, fields and integer
  • polynomial arithmetic
The above is a sample of the typical modules we offer but is not intended to be construed and/or relied upon as a definitive list of the modules that will be available in any given year. Modules (including methods of assessment) may change or be updated, or modules may be cancelled, over the duration of the course due to a number of reasons such as curriculum developments or staffing changes. Please refer to the module catalogue for information on available modules. This content was last updated on Thursday 28 April 2022.

Combining five compulsory modules with your choice from a range of optional modules, you will continue to study statistics, probability and applied mathematics in more depth. You will have the option to choose some modules from outside mathematics.

During this year you will benefit from modules informed and developed alongside alumni and employers, ensuring they are topical and relevant for future careers.

Core modules

Differential Equations

This module introduces various analytical methods for the solution of ordinary and partial differential equations.

You will begin by studying asymptotic techniques, which can be used when the equations involve a small parameter, which is often the case. We will also study some aspects of dynamical systems theory, which has wide applicability to models of real world problems.

Probability 2

This module will develop your understanding of probability theory and random variables from Probability 1. There's 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 then progress onto more advanced topics such as transition matrices, one-dimensional random walks and absorption probabilities.

Scientific Computation

Most mathematical problems cannot be solved analytically or would take too long to solve by hand. Instead, computational algorithms must be used. 

Scientific Computation teaches you about algorithms for approximating functions, derivatives, and integrals, and for solving many types of equation.

Statistics 2

The first part of this module provides you with an introduction to statistical concepts and methods. The second part introduces a wide range of techniques used in a variety of quantitative subjects. The key concepts of inference including estimation and hypothesis testing will be described, as well as practical data analysis and assessment of model adequacy.

Vector Calculus

This module teaches you the mathematical foundations of multidimensional differential and integral calculus of scalar and vector functions. This provides essential background for later study involving mathematical modelling with differential equations, such as fluid dynamics and mathematical physics. You will learn about vector differential operators, the divergence theorem and Stokes’ theorem, as well as meeting various curvilinear coordinate systems.

Optional modules

Mathematical Physics

This module teaches you how Newtonian mechanics can be developed into the more powerful formulations due to Lagrange and Hamilton. You will also 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.

Modelling with Differential Equations

This module will provide you with tools to develop and analyse linear and nonlinear mathematical models based on ordinary and partial differential equations. You will also meet the fundamental mathematical concepts required to model the flow of liquids and gases. This will enable you to apply the resulting theory to model physical situations.

Probability 2

This module will develop your understanding of probability theory and random variables from Probability 1. There's 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 then progress onto more advanced topics such as transition matrices, one-dimensional random walks and absorption probabilities.

Real and Complex Analysis

This module will further develop your understanding of the tools of real and complex 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
  • the Riemann integral

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 above is a sample of the typical modules we offer but is not intended to be construed and/or relied upon as a definitive list of the modules that will be available in any given year. Modules (including methods of assessment) may change or be updated, or modules may be cancelled, over the duration of the course due to a number of reasons such as curriculum developments or staffing changes. Please refer to the module catalogue for information on available modules. This content was last updated on

You must take the group project module. The compulsory group project allows you to consolidate your mathematical knowledge and understanding whilst gaining experience of working collaboratively to solve complex problems.

You will also have the option to choose some modules from outside mathematics if you wish.

Core modules

Mathematics Group Projects

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.

Optional modules

Applied Statistical Modelling

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.

Coding and Cryptography

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.

Differential Equations

You will be introduced to various analytical methods for the solution of ordinary and partial differential equations. We will begin by studying asymptotic techniques, which can be used when the equations involve a small parameter, which is often the case.

We will also study some aspects of dynamical systems theory, which has wide applicability to models in real world problems.

Mathematical Finance

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.

Multivariate Analysis

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
Optimisation

In this module a variety of techniques of mathematical optimisation will be covered including Lagrangian methods for optimisation, simplex algorithm linear programming and dynamic programming.

These techniques have a wide range of applications to real world problems, in which a process or system needs to be made to perform optimally.

Scientific Computation and Numerical Analysis

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.

Statistical Inference

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.

Stochastic Models

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.

The above is a sample of the typical modules we offer but is not intended to be construed and/or relied upon as a definitive list of the modules that will be available in any given year. Modules (including methods of assessment) may change or be updated, or modules may be cancelled, over the duration of the course due to a number of reasons such as curriculum developments or staffing changes. Please refer to the module catalogue for information on available modules. This content was last updated on
  • 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.

Fees and funding

UK students

£9,250
Per year

International students

To be confirmed in 2022*
Keep checking back for more information

*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.

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.

International scholarships

Careers

Mathematics is a broad and versatile subject leading to many possible careers. Our 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
  • Assistant statistician
  • Commercial analyst
  • Project co-ordinator
  • Shift manager

Average starting salary and career progression

86.8% of undergraduates from the School of Mathematical Sciences secured graduate level employment or further study within 15 months of graduation. The average annual salary for these graduates was £27,295.*

* Data from University of Nottingham graduates, 2017-2019. HESA Graduate Outcomes. Sample sizes vary. 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).

Institute of Mathematics and its Applications

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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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.