Undergraduate prospectus

  • Start date: September 2019

Mathematics MSci

The four-year Mathematics MSci offers an additional year on top of the Mathematics BSc, allowing students to specialise further by taking more advanced modules, and undertaking a major final-year project.

Key Information

Programme starts

September 2019
UCAS code
Full-time: 4 years
Application deadline
15 January 2019
London, Bloomsbury

Entry requirements

A Levels

A*A*A with A*A* in Mathematics and Further Mathematics, or A*AA with A*A in Mathematics and Further Mathematics, any order, and a 2 in any STEP Paper or a Distinction in the Mathematics AEA.
A*A*A with A*A* in Mathematics and Further Mathematics, or A*AA with A*A in Mathematics and Further Mathematics, any order, and a 2 in any STEP Paper or a Distinction in the Mathematics AEA.
(contextual offer)
A*A*B (more about contextual offers)
(contextual offer)
A*A* in Mathematics and Further Mathematics.
English Language and Mathematics at grade C or 5. For UK-based students, a grade C or 5 or equivalent in a foreign language (other than Ancient Greek, Biblical Hebrew or Latin) is required. UCL provides opportunities to meet the foreign language requirement following enrolment, further details at: www.ucl.ac.uk/ug-reqs

IB Diploma

A score of 20 points in three higher level subjects including 7 in Mathematics, or 19 points in three higher level subjects including 7 in Mathematics and a 1 in any STEP paper or a distinction in Mathematics AEA, with no score below 5.
(contextual offer)
38-39 (more about contextual offers)
(contextual offer)
A score of 19 points in three higher level subjects including 7 in Mathematics, or 18 points in three higher level subjects including 7 in Mathematics and a 1 in any STEP paper or a distinction in Mathematics AEA, with no score below 5.
Additional tests

Sixth Term Examination Papers (STEP)

UK applicants qualifications

Equivalent qualification

Not acceptable for entrance to this programme

Not acceptable for entrance to this programme

D2,D2,D3 in three Cambridge Pre-U Principal Subjects, including Mathematics. Or D2,D3,D3 in three Cambridge Pre-U Principal Subject Certificates, including Mathematics and a 1 in any STEP paper

A1,A1,A at Advanced Highers (or A1,A1 at Advanced Higher and A,A,A at Higher) including Mathematics, or A1,A,A at Advanced Highers (or A1,A at Advanced Higher and A,A,A at Higher) including Mathematics and a 1 in any STEP paper

Successful completion of the WBQ Advanced Skills Challenge Certificate plus 2 GCE A-levels at grades A*A*A, or A*AA and a 1 in any STEP paper or Distinction in AEA. To include Mathematics and Further Mathematics.

International applications

In addition to A level and International Baccalaureate, UCL considers a wide range of international qualifications for entry to its undergraduate degree programmes.

Undergraduate Preparatory Certificates

The Undergraduate Preparatory Certificates (UPCs) are intensive one-year foundation courses for international students of high academic potential who are aiming to gain access to undergraduate degree programmes at UCL and other top UK universities.

Typical UPC students will be high achievers in a 12-year school system which does not meet the standard required for direct entry to UCL.

For more information see: www.ucl.ac.uk/upc.

English language requirements

If your education has not been conducted in the English language, you will be expected to demonstrate evidence of an adequate level of English proficiency. Information about the evidence required, acceptable qualifications and test providers can be found on our English language requirements page.

The English language level for this programme is: Standard

A variety of English language programmes are offered at the UCL Centre for Languages & International Education.

Degree benefits

  • Together with specialist mathematics options, you will have the opportunity to take modules from outside the department, such as economics, philosophy, a foreign language, classics or history of art.

  • The MSci allows for additional in-depth study, providing the skills necessary for academic research in mathematics or to enter employment where mathematics is directly involved.

  • Highly regarded UCL Mathematics is home to world-leading researchers in a wide range of fields, especially geometry, spectral theory, number theory, fluid dynamics and mathematical modelling.

  • Three of the six British winners of the Fields medal (the mathematician's equivalent of the Nobel Prize) have associations with the department.


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Degree structure

In each year of your degree you will take a number of individual modules, normally valued at 15 or 30 credits, adding up to a total of 120 credits for the year. Modules are assessed in the academic year in which they are taken. The balance of compulsory and optional modules varies from programme to programme and year to year. A 30-credit module is considered equivalent to 15 credits in the European Credit Transfer System (ECTS).

You will gain a solid grounding in basic advanced mathematics - the core modules in the first year and a half of the programme. From then on you can specialise in your areas of interest. The study of the core modules is the prerequisite for the choice of options in the second half of the second year and the forty or so options in the third and fourth years. The fourth year includes a major project.

A large variety of interesting subjects can be studied, including geophysical fluid dynamics, mathematics in biological or financial contexts, number theory, probability and statistical applications, and geometry.

This programme is offered as a three-year BSc or a four-year MSci degree. The first two years of the programme are identical, and students are advised to apply for the MSci degree in the first instance, as it is possible to transfer to the BSc during the first three years.


An indicative guide to the structure of this programme, year by year.

Core or compulsory module(s)

Algebra 1
Algebra 2
Analysis 1
Analysis 2
Applied Mathematics
Mathematical Methods 1
Mathematical Methods 2
Newtonian Mechanics

Optional modules

All first year modules are compulsory.

Core or compulsory module(s)

Algebra 3: Further Linear Algebra
Analysis 3: Complex Analysis
Fluid Mechanics
Mathematical Methods 3

Optional modules

You will select four of the following:

Analysis 4: Real Analysis
Analytical Dynamics
Algebra 4: Groups and Rings
Computational Methods
Geometry and Groups
Mathematical Methods 4
Number Theory
Probability and Statistics

One of the modules may be replaced by a half-credit option outside the department, subject to approval.

Core or compulsory module(s)

All third-year modules are optional. Currently available mathematics options are described on the UCL Mathematics website.

Optional modules

You will select:

2.0 credits of designated third-year mathematics options
1.0 credit of third-year mathematics options
1.0 credit of third-year mathematics options or approved outside options

Core or compulsory module(s)

Project in Mathematics

Optional modules

You will select:

2.0 credits of fourth-year mathematics options
1.0 credit of third- or fourth-year mathematics options or approved outside options.

Your learning

Teaching is mainly carried out through lectures and small-group tutorials. Problem classes allow you to exercise the skills you have learned. In addition, an 'office hours' system for each programme allows you to meet with tutors on a one-to-one basis to review parts of the degree you find interesting or that need clarifying. A Student Mentor scheme runs in the department offering support and advice to first-years.


Most modules are assessed by two-hour written examinations in the third term, with a small element (10%) of coursework assessment.

Further Information

Detailed course descriptions are available on the department website: Mathematics MSci.


We aim to develop your skills in mathematical reasoning, problem-solving and accurate mathematical manipulation. You will also learn to handle abstract concepts and to think critically, argue logically and express yourself clearly.

A mathematics degree is highly valued by employers due to the skills in logical thinking, analysis, problem-solving and, of course, numeracy, that it develops.

Graduates have gone forward to use their mathematical skills in careers in the City of London, such as forecasting, risk analysis and trading; in financial services, such as accountancy, banking and insurance; and in scientific research, information technology and industry.

Further study, such as a Master's degree or a PGCE qualification, is another popular option.


First career destinations of recent graduates (2013-2015) of this programme include:

  • Graduate Financial Analyst, Credit Suisse
  • Programme Management Officer, BAE Systems
  • Data Scientist, SCL Group
  • MRes in Financial Computing, UCL
  • Full-time student, Doctoral Training Centre in Partial and Differential Equations, University of Oxford

Data taken from the 'Destinations of Leavers from Higher Education' survey undertaken by HESA looking at the destinations of UK and EU students in the 2014-2016 graduating cohorts six months after graduation.

UCL is commited to helping you get the best start after graduation. Read more about how UCL Careers and UCL Innovation and Enterprise can help you find employment or learn about entrepreneurship.

Fees and funding

Tuition fees

The fees indicated are for undergraduate entry in the 2018/19 academic year. The UK/EU fees shown are for the first year of the programme at UCL only. Fees for future years may be subject to an inflationary increase. The Overseas fees shown are the fees that will be charged to 2018/19 entrants for each year of study on the programme, unless otherwise indicated below.

UK/EU students
£9,250 (2018/19)
Overseas students
£22,790 (2018/19)

Overseas fees for the 2019/20 academic year are expected to be available in July 2018. Undergraduate UK/EU fees are capped by the UK Government and are expected to be available in October 2018. Full details of UCL's tuition fees, tuition fee policy and potential increases to fees can be found on the UCL Students website.


Various funding options are available, including student loans, scholarships and bursaries. UK students whose household income falls below a certain level may also be eligible for a non-repayable bursary or for certain scholarships. Please see the Fees and funding pages for more details.

Departmental scholarships

The scholarships listed below are for 2017 entry. Funding opportunities for students applying for 2018 entry will be published when they are available.

The Scholarships and Funding website lists scholarships and funding schemes available to UCL students. These may be open to all students, or restricted to specific nationalities, regions or academic department.

Application and next steps

Your application

In addition to academic requirements, we expect you to demonstrate an understanding and enjoyment of the subject beyond the examined syllabus, through your reading and involvement in problem-solving activities. Evidence of your curiosity and perseverance in tackling puzzles, and your enjoyment of logical and abstract thinking, should be shown in your application.

How to apply

Application for admission should be made through UCAS (the Universities and Colleges Admissions Service). Applicants currently at school or college will be provided with advice on the process; however, applicants who have left school or who are based outside the United Kingdom may obtain information directly from UCAS.

Application deadline: 15 January 2019


The department is supportive of the Year in Industry scheme which involves deferring entry for a year to gain valuable work experience.

For further information on UCL's selection process see: Selection of students.