BSc Mathematics, Optimisation and Statistics
Specialise in areas of mathematics that focus on problem solving and decision-making, with wide application in many industries.
Three A-level offer: A*A*A
Applications : admissions ratio
9 : 1
Based on 2017 entry data
Mathematics at Imperial aims to present a wide range of mathematical ideas in a way that develops your critical and intellectual abilities.
The Department is home to several Fellows of the Royal Society and international prize winners, and our degrees are built around our research expertise in four core areas:
- Pure Mathematics
- Applied Mathematics and Mathematical Physics
- Mathematical Finance
You will cover both topics that are a direct continuation of those at A-level and those that introduce you to new ways of thinking, such as the logical structure of arguments, the proper definition of mathematical objects, the design of sophisticated mathematical models, and the legitimacy of computations.
All of our courses follow the same core curriculum for the first two years, covering key areas of mathematics such as algebra, differential equations, and probability and statistics.
On the BSc in Mathematics, Optimisation and Statistics course, you will specialise in Optimisation and Statistics in your third year, when you take at least six modules from a variety of relevant topics such as applied probability, time series and scientific computation.
You can choose your remaining optional modules from our extensive selection of topics in other areas of mathematics, many of which are linked to our cutting edge research.
Transfer between courses
Successful candidates will receive one offer for one course from the Department, so you should apply to just one. There is no advantage in applying to multiple courses within Mathematics.
The high level of shared content in the first two years means it is usually possible to transfer between any of our maths courses during this time (within stated restrictions) however, transfer onto the Year Abroad course must normally be done in your first year.
If you are an international student, transferring to a different course could have an impact on your Tier 4 visa. Please visit our International Student Support webpage for further information.
Please note that the curriculum of this course is currently being reviewed as part of a College-wide process to introduce a standardised modular structure. As a result, the content and assessment structures of this course may change for your year of entry. We therefore recommend that you check this course page before finalising your application and after submitting it as we will aim to update this page as soon as any changes are ratified by the College.
Find out more about the limited circumstances in which we may need to make changes to or in relation to our courses, the type of changes we may make and how we will tell you about changes we have made.
- Algebra I
- Analysis I
- Foundations of Analysis
- Geometry and Linear Algebra
- Individual Poster Project
- Mathematical Computation
- Mathematical Methods I
- Mathematical Methods II
- Probability and Statistics I
This practical module emphasises specialist software such as Matlab and Python, and is primarily examined by project.
Individual Poster Project
Towards the end of the first year, you will complete an individual poster project on a subject of your choice suggested by a series of inspirational lectures. All posters are then exhibited together and you will explain your work to circulating staff and students, obtaining credit for both content and exposition.
- Algebra II
- Complex Analysis
- Differential Equations
- Group Project
- Introduction to Numerical Analysis
- Multivariable Calculus
- Probability and Statistics II
- Real Analysis
You choose one module from below.
- Metric Spaces and Topology
- Non-linear waves
- Statistical Modelling I*
* This module can be counted as one of your required modules towards the specialised degree BSc Mathematics, Optimisation and Statistics (see Year 3 for further information).
A large selection of optional modules is available, and you will choose eight, including modules specifically required for your stream of study.
You will need to choose six 'required modules' in total to graduate with an Mathematics, Optimisation and Statistics degree. There is a required module available in your second year, as well as the third year required modules listed below.
- Algebraic Combinatorics
- Applied Probability
- Credit Scoring I
- Games, Risks and Decisions
- Quantitative Methods in Retail Finance
- Research Project in Mathematics
- Scientific Computation
- Statistical Modelling II
- Statistical Theory I
- Stochastic Simulation
- Survival Models and Actuarial Applications
- Time Series
Below are a number of examples of optional modules you may choose from in addition to the required modules (above) for this specialist degree.
- Asymptotic Analysis
- Fluid Dynamics
- Functional Analysis
- Galois Theory
- Geometry of Curves and Surfaces
- Group Theory
- Methods of Mathematical Physics
- Number Theory
- Partial Differential Equations
- Probability Theory
- Quantum Mechanics
- Theory of Complex Systems
Imperial Horizons, Business School and modules from other departments
You may choose up to two select modules offered outside the Department through the Imperial Horizons programme (Imperial Horizons), the Business School (Business for Professional Engineers and Scientists), or another Department (subject to approval) for credit as part of your eight optional modules in your third year.
The Department of Mathematics approves a selection of the modules offered through these programmes, which means there are some modules you can take for credit.
Modules approved by the Department for credit are subject to change annually, but in the past have included modules such as:
- Finance and Financial Management
- Managing Innovation
- Music Technology
- Science, Politics and Human Identity
Download the programme specification [PDF] – this is the most up-to-date version available for this course. It may change for your year of entry. If/when changes to this course are approved by the College, we will update this document and the information on this course page.
Teaching and assessment
- Problem classes
- Computational work
Teaching, independent study and placement hours
|Year 1||Year 2||Year 3|
|Lectures, seminars and similar||377 hours||325 hours||240 hours|
|Independent study||1,136 hours||1,200 hours||1,360 hours|
|Based on the typical pathway through the course|
- Written examinations
- Practical and project work
|Year 1||Year 2||Year 3|
|Based on the typical pathway through the course; percentages have been rounded to the nearest whole number|
At Imperial, you will be taught by a range of teachers of all levels from Professors to PhD students, including some who undertake groundbreaking research and are regarded as experts in their field.
You may also experience peer teaching and be taught by specialists external to the College.
As well as your main Imperial degree, you will also receive the award of the Associateship of the Royal College of Science (ARCS) on completion of this course.
The Royal College of Science is one of three historic Colleges that came together to form Imperial College London in 1907.
Find out more about our Associateships.
Compare this course
See how this course compares with similar courses at different institutions using the Unistats information below.
You can use the Unistats website to find out how this course compares in areas such as student satisfaction and what our graduates are doing six months after completing this course.
We welcome students from all over the world and consider all applicants on an individual basis – see selection process below.
For advice on the requirements for the qualifications listed here please contact the Department (see Contact us).
We also accept a wide range of international qualifications. If the requirements for your qualifications are not listed here, please see our academic requirements by country page for guidance on which qualifications we accept.
Minimum entry standards
Our minimum entry standard for 2019 entry is A*A*A overall, to include:
- A* in Mathematics
- A* in Further Mathematics
- A in another subject
General Studies and Critical Thinking are not accepted.
Typical offer range
As a guide, here are the typical offers made in 2017 to at least 85% of applicants studying A-levels:
Three A-level offer: A*A*A–A*A*A*
Practical endorsement (practical science assessment)
If you are made an offer you will be required to achieve a pass in the practical endorsement in all science subjects that form part of the offer.
The practical endorsement is part of the reformed English linear A-levels.
We are able to make special cases for students who are from schools that do not offer Further Mathematics A-level, and encourage applications from them. We are often guided by performance in MAT when making these special cases. You should ask your teacher to clearly indicate this in your UCAS application form. If your school offers Further Mathematics AS but not A level, then we expect that you should be taking it.
Minimum entry standards
Our minimum entry standard for 2019 entry is 39 points overall, to include:
- 7 in Mathematics at higher level
- 6 in another subject at higher level
Typical offer range
As a guide, the typical offer made in 2017 to at least 85% of applicants studying IB was 39 points overall.
Mathematics Higher Level for award in 2021
For entry in 2021, the Mathematics Analysis and Approaches or the Applications and Interpretation syllabi will be accepted at higher level, but Analysis and Approaches is preferred.
The grades detailed below are the minimum requirements for students offering only Advanced Placements as their exams for entry to Imperial.
If you are studying a High School Diploma that is accepted by Imperial alongside Advanced Placements, requirements may apply to both your Diploma and Advanced Placements.
Please consult our country index to check whether we accept your High School Diploma programme for admission.
Our minimum requirement for this course is grades 5, 5, 5 to include:
- 5 in Calculus BC
- 5 in Chemistry, Physics C (Electricity and Magnetism, or Mechanics), Statistics or Computer Science
- 5 in another subject
Places will also be available to those with other equivalent qualifications, e.g. Abitur, Diploma Di Esame Di Stato, European Baccalaureate, Scottish Highers, Titullo de Bachiller, and to applicants with appropriate educational experience or other competencies. See admission of students with other competencies.
Mathematics Admissions Test (MAT)
All IB and A-level Mathematics candidates (excluding those who wish to study Mathematics and Computer Science) who apply prior to 15 October are required to sit the Mathematics Admissions Test (MAT). Students with other qualifications are also encouraged to take this exam. The MAT allows us to have a common measure with which to benchmark all our applicants, regardless of which qualifications they are taking as well or those they already have.
The MAT is a paper-based, subject-specific admissions test which lasts 2.5 hours and takes place in early November. For more information about the test, visit the Admission Testing Service's website. You must register for the test before taking it. Find out how to register for the test.
Applicants may request their MAT result from April onwards the year after their test sitting. A request must be made in writing to firstname.lastname@example.org and confirm your full name, UCAS ID and MAT registration number.
Sixth Term Examination Paper (STEP)
Conditional offers to post-15 October A-level and IB applicants who were unable to take MAT will include a STEP requirement. This may also be applied to conditional offers to applicants taking other qualification types.
Our minimum STEP offer is a Grade 2 in either the STEP II or STEP III papers. Both the grade and the number of papers may be increased in some cases.
In addition, some MAT candidates who have a borderline mark may be considered for a STEP offer and that offer may also be increased. Find out more about STEP (Sixth Term Examination Paper), which is also administered by ATS.
Assessing your application
Admissions Tutors consider all the evidence available during our rigorous selection process and the College flags key information providing assessors with a more complete picture of the educational and social circumstances relevant to the applicant.
Some applicants may be set lower offers and some more challenging ones. It is the College’s policy to not make offers below three A grades at A-level in relevant subjects, 38 IB points with at least a grade 6 at higher level in relevant subjects, or their equivalent.
A typical range of offers made by this Department in 2017 (encompassing at least 85% of applicants who studied A-level or IB) is shown above.
We don't currently use interviews as part of our regular admissions process. We assess applicants on the basis of their UCAS form and performance in MAT.
We may consider students for interview where there are mitigating circumstances that need investigating, or where the background of the student means that their application requires further consideration. In these cases, our conditional offer may change as a result of the interview, and as with all candidates, each application is considered on its individual merits.
English language requirement (all applicants)
All candidates must demonstrate a minimum level of English language proficiency for admission to the College.
For admission to this course, you must achieve the standard College requirement in the appropriate English language qualification. For details of the minimum grades required to achieve this requirement, please see the English language requirements for undergraduate applicants.
Tuition fees and funding
We charge tuition fees for every year that your course lasts. The fee you will be charged is based on your fee status, which is determined by government regulations.
Tuition fees (Home and EU students)
|£9,250 per year|
Please note that the fee you pay may increase annually by an amount linked to inflation and approved by Parliament under the Student Fees (Inflation Index) Regulations 2006 – currently the measure of inflation used is the RPIX.
If you're a Home student, you can apply for a Tuition Fee Loan from the UK government to cover the entire cost of tuition for every year of your course.
You can also apply for a means-tested Maintenance Loan to help towards your living costs.
The UK government has confirmed that access to government funding will remain unchanged for EU students entering the university in 2019 throughout the duration of their course. This includes access to the Tuition Fee Loan for EU students who have resided in the European Economic Area for at least three years prior to study, and access to the Maintenance Loan for EU students have been resident in the UK for at least five years.
For the latest updates on the implications of ‘Brexit’, please see the Imperial and the European Union webpages.
Tuition fees (Overseas and Islands students)
|£28,000 per year|
The tuition fees for Overseas and Islands students are set by Imperial College London.
You should expect and budget for your tuition fee increasing each year by an inflationary amount. The measure of inflation used will be the Retail Price Index (RPI) value in the April of the calendar year in which the academic session starts e.g. the RPI value in April 2019 will apply to fees for the academic year 2019–2020.
Accommodation and living costs
Living costs, including accommodation, are not included in your tuition fees.
Over 90 per cent of Imperial undergraduates choose to live in our halls of residence in their first year. You can compare costs across our different accommodation options on our Accommodation website.
A rough guide to what you might expect to spend to live in reasonable comfort in London is available on our Fees and Funding website.
Bursaries and scholarships
The logical and analytical skills developed through a degree in mathematics are highly valued by a wide range of employers. Our graduates go on to a wide range of careers in industry, government and education, as well as international banking, computing, business, law and accountancy.
The MSci programmes in particular prepare you for research careers and are recognised throughout the European Union, where four-year undergraduate degrees tend to be the norm.
Recent graduates of the Department have become:
- Graduate Mathematician, Williams Martini Racing
- Research Analyst, Thomson Reuters
- Analyst, JP Morgan
- Accountant, KPMG
- Data Scientist, Summit Media
How to apply
UCAS key information
- UCAS course code: GG31
- UCAS institution code: I50
UCAS Apply system
To apply to study at Imperial you must use the online application system managed by the Universities and Colleges Admissions Service (UCAS).
You can view this course on the UCAS website.
All applications, other than those which include choices for medicine at Imperial, must be submitted to UCAS by 18.00 (UK time) on 15 January 2019 for entry in September 2019.
The deadline for medicine courses at Imperial starting in 2019 is 18.00 (UK time) on 15 October 2018.
Tracking your application
Once you’ve completed and submitted your application through UCAS’s online Apply service, you can use UCAS’ Track system to follow its progress and manage your choices.
See our How to apply section for further guidance.
You may also be interested in the following related departments and the courses they offer:
Terms and conditions
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Read our terms and conditions for these areas: