MMath Mathematics

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Key facts

  • UCAS Code: G101
  • Accreditation: Institute of Mathematics and its Applications
  • Part-time study: available

  • International study: Year 3

Study with us

  • MMath is more challenging than the Honours degree
  • gain the training and skills you’ll need for a career in Mathematics
  • our graduates go on to work in research and development, telecommunications and consultancy
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Why this course?

Our MMath Mathematics degree shows how mathematics is applied to solve practical problems, meaning you’ll learn the skills that employers need. Statistics is the area of mathematics you’ll use to explore and try to explain the uncertain world in which we live.

Our flexible degree allows you to transfer between courses with the opportunity to study abroad.

Accreditation

The course is accredited by the Institute of Mathematics and its Applications for the purpose of meeting in full the educational requirement for chartered status.

THE Awards 2019: UK University of the Year Winner

What you’ll study

MMath Mathematics is a five-year programme. Each year contains compulsory modules and some years contain either optional modules, which relate to different areas of mathematics and/or elective modules from other subject areas in the University. Years 1 to 4 of the MMath and BSc (Honours) degrees follow the same curriculum. It’s possible to transfer between the MMath course and BSc Honours course at all stages, subject to satisfactory performance.

Years 1, 2 & 3

In addition to core mathematical methods, you’ll study applied analysis, mechanics, numerical analysis and statistics. You also choose elective modules.

In later years, you’ll choose from a range of Mathematics and Statistics modules from one or more specialist areas.

Years 4 & 5

You’ll undertake a project and choose from modules in topics such as financial derivatives, mathematical modelling in biology and medicine, numerical analysis, and the mathematics of networks.

Mathematics & Statistics

If you take half of your third and fourth-year modules in Statistics you can graduate with the degree title MMath in Mathematics & Statistics.

Study abroad

You will have the opportunity to spend time studying abroad, normally in the third year of the course. We have links with European and non-European universities, which include:

  • University of Limerick, Republic of Ireland
  • Johannes Kepler University, Linz, Austria
  • Technical University of Denmark, Lyngby, Denmark
  • University of Toronto, Canada
  • Queen's University at Kingston, Canada
  • George Institute of Technology, USA
  • Swinburne University of Technology, Melbourne, Australia
  • University of Otago, New Zealand
  • Nanyang Technological University, Singapore

Facilities

You’ll have access to well-equipped, modern computing laboratories and teaching rooms, as well as 24-hour access to an advanced computer information network and a sophisticated virtual e-learning environment.

We have also an undergraduate common room which gives you a modern and flexible area that's used for individual and group study work and is also a relaxing social space.  

The Department of Mathematics & Statistics

At the heart of the Department of Mathematics & Statistics is the University’s aim of developing useful learning. Our research emphasises how mathematics and statistics can be applied in the real world and have societal impact. We're an applied department with many links to industry and government, bridging the gap between academia and real life. Many of the academic staff hold joint appointments with, or are funded by, other organisations, such as:

  • APHA
  • Public Health and Intelligence (Health Protection Scotland)
  • NHS Greater Glasgow and Clyde
  • the Marine Alliance for Science and Technology Scotland (MASTS)
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Course content

Current students are taking the following modules, and we expect the syllabus to be similar to this in future years.

Compulsory modules

Mathematical Foundations (20 credits)

This covers the basic concepts and standard methods of mathematical notation and proof; functions; complex numbers and variables; solution of equations; resolution of inequalities; sequences and series.

Calculus 1 (20 credits)

This introduces the fundamental concepts of calculus, and develops some of their applications including basic ordinary differential equations.

Introduction to Geometry & Algebra (20 credits)

This gives an introductory treatment of vectors, matrices, geometry, and discrete maths and introduces their application to real-world problems.

Mathematics in Society (20 credits)

A course that presents the place of mathematics and statistics in society, both historical and contemporary, while introducing some essential study skills, allowing students to develop and practice personal and technical skills.

Essential Statistics (10 credits)

A presentation of some basic ideas and techniques of statistics. This module will also introduce students to the R statistical software.

Data Analysis & Presentation (10 credits)

A module that focuses on communicating mathematics and statistics that will facilitate practical development of communication skills in data analysis, report writing and making presentations.

Compulsory modules

Linear Algebra & Differential Equations (20 credits)

This module will introduce you to the basic ideas of linear algebra, such as matrices and determinants, vector spaces, bases, eigenvalues and eigenvectors. You'll study various standard methods for solving ordinary differential equations and understand their relevance.

Advanced Calculus (20 credits)

This module will present basic ideas, techniques and results for calculus of two and three variables, along with differentiation and integration over curves, surfaces and volumes of both scalar and vector fields.

Applicable Analysis 1 (20 credits)

This module will give a rigorous treatment of convergence of sequences and infinite series of real numbers and of continuity, differentiability and integrability of functions of a real variable. It will illustrate the importance of these concepts in the analysis of problems arising in applications.

Probability & Statistical Inference (20 credits)

This module will present the basic concepts of probability theory and statistical inference and provide you with the tools to appropriately analyse a given data set and effectively communicate the results of such analysis.

Introduction to Newtonian Mechanics (20 credits)

This module will develop your appreciation of the basic concepts of force, momentum and energy, and of Newton’s laws of motion. The module will equip you to apply these concepts to model physical systems, in particular the orbital motion of bodies.

Mathematical & Statistical Computing (20 credits)

This module will introduce you to the R computing environment. It'll enable you to use R to import data and perform statistical tests, allow you to understand the concept of an algorithm and what makes a good algorithm and will equip you for implementing simple algorithms in R.

In third year you will study compulsory and optional modules totalling 120 credits.

Compulsory modules

Complex Variables & Integral Transforms (20 credits)

This module will introduce functions of a complex variable, define concepts such as continuity, differentiability, analyticity, line integration, singular points, etc. You will examine some important properties of such functions and consider some applications of them, for example, conformal mappings and the evaluation of real integrals using the Residue Theorem. You will also be introduced to Fourier and Laplace transform methods for solving linear ordinary differential equations and convolution type integral equations.

Linear Algebra (20 credits)

In this module we'll introduce basic algebraic structures, with particular emphasis on those pertaining to finite dimensional linear spaces and deepen your understanding of linear mappings. We'll also provide an introduction to inner product spaces and bilinear forms.

Differential Equations (20 credits)

In this module we’ll introduce you to analytical methods for solving ordinary and partial differential equations, so you'll develop an understanding along with technical skills in this area.

Optional modules

Applicable Analysis 2 (20 credits)

In this module you will be introduced to the basic theory and applications of:

  • metric spaces
  • normed vector spaces and Banach spaces
  • inner product spaces and Hilbert spaces
  • bounded linear operators on normed linear spaces

Inference & Regression Modelling (20 credits)

This module will:

  • review the concepts of probability distributions and how to work with these
  • present approaches to parameter estimation, focusing on maximum likelihood estimation, bootstrap estimation, and properties of estimators
  • present hypothesis testing procedures, including classical likelihood ratio tests and computer-based methods for testing parameter values, and goodness-of-fit tests
  • introduce and provide understanding of the least squares multiple regression model, general linear model, transformations and variable selection procedures
  • present use of R functions for regression and interpretation of R output

Mechanics of Rigid Bodies & Fluids (20 credits)

This module will:

  • convey the generalisation of the mechanics of single-particle systems to many-particle systems
  • convey the central ideas of a continuum description of material behaviour and to understand relevant constraints
  • ground students in the basic principles governing three-dimensional motions of rigid bodies
  • convey how the ideas of continuum theory are applied to static and inviscid fluids

Numerical Analysis (20 credits)

This module will motivate the need for numerical algorithms to approximate the solution of problems that can’t be solved with pen and paper. You’ll develop your skills in performing detailed analysis of the performance of numerical methods and will continue to develop your skills in the implementation of numerical algorithms using R.

Stochastics & Financial Econometrics (20 credits)

You'll be introduced to the basic concepts of random phenomena evolving in time, from two complementary points of view: probabilistic modelling and data-driven analysis. Presentation of underlying ideas of simple stochastic processes, time series models, and the associated probability theory and statistical techniques will be covered. In addition to applications of the methods to financial and economic systems, including modelling, data analysis, and forecasting.

In fourth year you will study compulsory and optional modules totalling 120 credits.

Compulsory modules

Communicating Mathematics & Statistics (20 credits)

This module provides you with experience of the skills required to undertake project work, and to communicate the findings in written and oral form using a variety of sources, such as books, journals and the internet. You will undertake an individual research project, researching a mathematical or statistical topic and writing a short report on it.

Optional modules

Modelling & Simulation with Applications to Financial Derivatives (20 credits)

In this module you'll get an introduction to ideas in mathematics and statistics that can be used to model real systems, with an emphasis on the valuation of financial derivatives. This module places equal emphasis on deterministic analysis (calculus, differential equations) and stochastic analysis (Brownian motion, birth and death processes). In both cases, in addition to theoretical analysis, appropriate computational algorithms are introduced.

The first half of the module introduces general modelling and simulation tools, and the second half focuses on the specific application of valuing financial derivatives, including the celebrated Black-Scholes theory.

Applicable Analysis 3 (20 credits)

This module will present the main results in Functional Analysis. You will also be introduced to linear operators on Banach and Hilbert spaces and study applications to integral and differential equations.

Statistical Modelling & Analysis (20 credits)

You will be provided with a range of applied statistical techniques that can be used in professional life. This module provides you with the fundamental principles of statistical modelling through experimental design and multivariate analysis.

Fluids & Waves (20 credits)

In this module you'll be introduced to the theory of Newtonian fluids and its application to flow problems and the dynamics of waves on water and in other contexts.

Finite Element Methods for Boundary Value Problems & Approximation (20 credits)

In this module you'll be presented with the basic theory and practice of finite element methods and polynomial and piecewise polynomial approximation theory.

Applied Statistics in Society (20 credits)

In this module you'll be introduced to a range of modern statistical methods and practices used in industry, commerce and research, and you will develop skills in your application and presentation.

Mathematical Biology & Marine Population Modelling (20 credits)

In this module, you'll learn the application of mathematical models to a variety of problems in biology, medicine, and ecology. The module will show:

  • the application of ordinary differential equations to simple biological and medical problems
  • the use of mathematical modelling in biochemical reactions
  • the application of partial differential equations in describing spatial processes such as cancer growth and pattern formation in embryonic development
  • the use of delay-differential equations in physiological processes.

The marine population modelling element will introduce the use of difference models to represent population processes through applications to fisheries, and the use of coupled ODE system to represent ecosystems. Practical work will include example class case studies that will explore a real-world application of an ecosystem model.

Mathematical Introduction to Networks (20 credits)

This module will demonstrate the central role network theory plays in mathematical modelling. It'll also show the intimate connection between linear algebra and graph theory and how to use this connection to develop a sound theoretical understanding of network theory. Finally, it'll apply this theory as a tool for revealing structure in networks.

Medical Statistics (20 credits)

This module will cover the application of classical statistical methods to data collected for health care research. There will be an emphasis on the use of real data and the interpretation of statistical analyses in the context of the research hypothesis under investigation. Topics covered will include:

  • survival analysis
  • experimental design and sampling
  • categorical data analysis
  • clinical measurement

In fifth year you will study compulsory and optional modules totalling 120 credits.

Compulsory module

Project (40 credits)

The module will provide you with experience and expertise in skills required to undertake a sustained and significant individual project in a mathematical or statistical area, using a variety of sources, such as books, journals and the internet, and to communicate the findings in written and oral form.

Optional modules

Modelling & Simulation with Applications to Financial Derivatives (20 credits)

This module provides an introduction to ideas in mathematics and statistics that can be used to model real systems, with an emphasis on the valuation of financial derivatives. It places equal emphasis on deterministic analysis (calculus, differential equations) and stochastic analysis (Brownian motion, birth and death processes). In both cases, in addition to theoretical analysis, appropriate computational algorithms are introduced.  The first half of the module introduces general modelling and simulation tools, and the second half focuses on the specific application of valuing financial derivatives, including the celebrated Black-Scholes theory.

Applicable Analysis 3 (20 credits)

This module will present the main results in Functional Analysis, give an introduction to linear operators on Banach and Hilbert spaces and study applications to integral and differential equations.

Fluids & Waves (20 credits)

This module will introduce the theory of Newtonian fluids and its application to flow problems and the dynamics of waves on water and in other contexts.

Finite Element Methods for Boundary Value Problems & Approximation (20 credits)

This module aims to present you with the basic theory and practice of finite element methods and polynomial and piecewise polynomial approximation theory.

Applied Statistics in Society (20 credits)

This module will introduce you to a range of modern statistical methods and practices used in industry, commerce and research, and to develop skills in their application and presentation.

Mathematical Biology & Marine Population Modelling (20 credits)

This module will teach the application of mathematical models to a variety of problems in biology, medicine, and ecology. It will show:

  • the application of ordinary differential equations to simple biological and medical problems
  • the use of mathematical modelling in biochemical reactions
  • the application of partial differential equations in describing spatial processes such as cancer growth and pattern formation in embryonic development
  • the use of delay-differential equations in physiological processes

The marine population modelling element will introduce the use of difference models to represent population processes through applications to fisheries, and the use of coupled ODE system to represent ecosystems. Practical work will include example class case studies that'll explore a real-world application of an ecosystem model.

Mathematical Introduction to Networks (20 credits)

This module will demonstrate the central role network theory plays in mathematical modelling. It'll show the intimate connection between linear algebra and graph theory and how to use this connection to develop a sound theoretical understanding of network theory. Finally, application of the theory as a tool for revealing structure in networks.

Elasticity & Complex Materials (20 credits)

This module will introduce you to general continuum theory, with applications to Newtonian and non-Newtonian fluids and elastic materials.

Optimisation: Theory & Practice (20 credits)

This module will provide a mathematical understanding of modern approaches to optimization and the calculus of variations.

Statistical Mechanics (20 credits)

This module will develop approaches to understanding complex or random systems in or out of equilibrium. These are based on ideas from statistical mechanics that incorporate familiar concepts and methods from neighbouring subjects such as classical mechanics and probability and statistics. This will explain, through various examples and techniques, how macroscopic properties of systems arise from the ensemble action of many microscopic ingredients. Specifically, you will see how deterministic “laws” may arise from the basic randomness of a system having many variables or degrees of freedom. Fundamental examples include Brownian motion and the ideal gas.

Dynamical Models in Epidemiology (20 credits)

This module will introduce mathematical models which arise in epidemiology and population dynamics. You will develop techniques for analysing the qualitative behaviour of the associated dynamical systems.

Topics in Applied Analysis (20 credits)

This module will expose you to a number of diverse topics in modern applied analysis, explaining how key theoretical ideas underpin methods that play an important role in investigations into problems arising in the applied sciences.

Topics in Applied Statistics (20 credits)

This module will expose you to a number of diverse topics in modern applied statistics, explaining how key theoretical ideas underpin methods that play an important role in investigations into problems arising in the applied sciences.

Topics in Applied Mathematics (20 credits)

This module will expose you to a number of diverse topics in a range of applied mathematics.

Topics in Numerical Analysis (20 credits)

This module will expose you to a number of diverse topics in modern numerical analysis, explaining how key theoretical and practical ideas underpin computational methods in science, engineering and technology.

Topics in Biological & Ecological Modelling (20 credits)

This module will make you aware of modern mathematical and statistical methods used to address real life research problems in the biological and ecological problems. In particular to bring together theoretical principles, computational practices and statistical data to construct models that describe the growth of populations and the spread of infectious diseases. You will learn that these models can form the basis for decision making. The module will be based on the research interests and expertise of the Department (please note not all of the syllabus topics will be taught in a particular year).

Learning & teaching

The following teaching methods are used in Mathematics and Statistics: lectures (using a variety of media including electronic presentations and computer demonstrations), tutorials, coursework and projects.

You’ll also learn through structured group work in problem solving and presentations.

On completion of the programme, you’ll be able to:

  • demonstrate knowledge in the main areas of mathematics
  • show an understanding of the principal mathematical and educational theories and a critical understanding of one or more specialised areas
  • demonstrate skills in calculation
  • develop and evaluate logical arguments, presenting them and their conclusions clearly and accurately
  • demonstrate problem-solving skills, for example, abstracting the essentials of problems, formulating them mathematically and finding appropriate solutions
  • undertake a critical analysis of data and draw conclusions from the data
  • demonstrate a range of general skills including IT competency

Assessment

In Mathematics & Statistics, knowledge, understanding and subject-specific skills are assessed by coursework, assignment, reports, presentations and written examinations.

Ross McWilliam holding his dissertation with Rottenrow Gardens and Livingston Tower in the background
Strathclyde is a great place to be and has some brilliant facilities. After graduating, I plan to return to Strathclyde and do a Professional Graduate Diploma in Education (PGDE) in Mathematics.
Ross McWilliam

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Our Unibuddy ambassadors can answer all the questions you might have about courses and studying at Strathclyde, along with offering insight into their experiences of life in Glasgow and Scotland.

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Entry requirements

Required subjects are shown in brackets.

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Highers

Standard entry requirements*:

Year 1 entry: AABB/ABBBC

(Maths A, Advanced Higher Maths recommended)

Minimum entry requirements**:

BBBB (including Maths at B and 70% in Strathclyde Summer School Mathematics)

or

ABBB (including Maths A)

Advanced Highers

Year 2 entry: AB

(Maths A)

A Levels

Standard entry requirements*:

Year 1 entry: BBB

(Maths B)

Year 2 entry: ABB

(Maths A)

International Baccalaureate

Standard entry requirements*:

Year 1 entry: 30

(Mathematics HL5)

Year 2 entry: 32

(Mathematics HL6)

HNC

Entry to BSc in first instance

International students

View the entry requirements for your country.

Deferred entry

Accepted

*Standard entry requirements

Offers are made in accordance with specified entry requirements although admission to undergraduate programmes is considered on a competitive basis and entry requirements stated are normally the minimum level required for entry.

Whilst offers are made primarily on the basis of an applicant meeting or exceeding the stated entry criteria, admission to the University is granted on the basis of merit, and the potential to succeed. As such, a range of information is considered in determining suitability.

In exceptional cases, where an applicant does not meet the competitive entry standard, evidence may be sought in the personal statement or reference to account for performance which was affected by exceptional circumstances, and which in the view of the judgement of the selector would give confidence that the applicant is capable of completing the programme of study successfully.

**Minimum entry requirements

Find out if you can benefit from this type of offer.

Contextual Admissions for Widening Access

We want to increase opportunities for people from every background.

Strathclyde selects our students based on merit, potential, and the ability to benefit from the education we offer. We look for more than just your grades. We consider the circumstances of your education and will make lower offers to certain applicants as a result.

Find out if you can benefit from this type of offer.

University preparation programme for international students

We offer international students (non-UK/Ireland) who do not meet the academic entry requirements for an undergraduate degree at Strathclyde the option of completing an Undergraduate Foundation Programme in Business and Social Sciences at the University of Strathclyde International Study Centre. ​

Upon successful completion, you can progress to your chosen degree at the University of Strathclyde.

International students

We've a thriving international community with students coming here to study from over 140 countries across the world. Find out all you need to know about studying in Glasgow at Strathclyde and hear from students about their experiences.

Visit our international students' section

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Fees & funding

Fees may be subject to updates to maintain accuracy. Tuition fees will be notified in your offer letter.

All fees are in £ sterling, unless otherwise stated, and may be subject to revision.

Annual revision of fees

Students on programmes of study of more than one year (or studying standalone modules) should be aware that tuition fees are revised annually and may increase in subsequent years of study. Annual increases will generally reflect UK inflation rates and increases to programme delivery costs.

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Scotland

£1,820

Fees for students who meet the relevant residence requirements in Scotland are subject to confirmation by the Scottish Funding Council. Scottish undergraduate students undertaking an exchange for a semester/year will continue to pay their normal tuition fees at Strathclyde and will not be charged fees by the overseas institution.

England, Wales & Northern Ireland

£9,250

Assuming no change in fees policy over the period, the total amount payable by undergraduate students will be capped. For students commencing study in 2024/25, this is capped at £27,750 (with the exception of the MPharm and integrated Masters programmes), MPharm students pay £9,250 for each of the four years. Students studying on integrated Masters degree programmes pay an additional £9,250 for the Masters year with the exception of those undertaking a full-year industrial placement where a separate placement fee will apply.

Republic of IrelandIf you are an Irish citizen and have been ordinary resident in the Republic of Ireland for the three years prior to the relevant date, and will be coming to Scotland for Educational purposes only, you will meet the criteria of England, Wales & Northern Ireland fee status. For more information and advice on tuition fee status, you can visit the UKCISA - International student advice and guidance - Scotland: fee status webpage. Find out more about the University of Strathclyde's fee assessments process.
International

£19,600

University preparation programme fees

International students can find out more about the costs and payments of studying a university preparation programme at the University of Strathclyde International Study Centre.

Additional costs

Course materials & costs: class materials (lecture notes and exercise sheets) for the majority of Mathematics & Statistics classes are available free to download. For some classes, students may need access to a textbook. Textbook costs are typically in the £20 to £60 price range. These prices are dependent on format (e-book, soft or hardback) and whether bought new or second hand.  

PVG scheme (Protection of Vulnerable Groups): third-year Maths and Teaching students will need to pay for the full price of a PVG membership scheme.

International students: International students may have associated visa and immigration costs. Please see student visa guidance for more information.

Available scholarships

Take a look at our scholarships search for funding opportunities.

Please note: All fees shown are annual and may be subject to an increase each year. Find out more about fees.

How can I fund my studies?

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Students from Scotland

Fees for students who meet the relevant residence requirements in Scotland, you may be able to apply to the Student Award Agency Scotland (SAAS) to have your tuition fees paid by the Scottish government. Scottish students may also be eligible for a bursary and loan to help cover living costs while at University.

For more information on funding your studies have a look at our University Funding page.

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Students from England, Wales & Northern Ireland

We have a generous package of bursaries on offer for students from England, Northern Ireland and Wales:

You don’t need to make a separate application for these. When your place is confirmed at Strathclyde, we’ll assess your eligibility. Take a look at our scholarships search for funding opportunities.

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International Students

We have a number of scholarships available to international students. Take a look at our scholarship search to find out more.

Glasgow is Scotland's biggest & most cosmopolitan city

Our campus is based right in the very heart of Glasgow. We're in the city centre, next to the Merchant City, both of which are great locations for sightseeing, shopping and socialising alongside your studies.

Life in Glasgow
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Careers

Our graduates enter industries such as manufacturing, the actuarial, accountancy and banking professions, commerce and government, consultancy and education.

Many go on to become investment analysts, numerical analysts, statisticians, actuaries, managers and teachers.

How much will I earn?

The median salary of a mathematical sciences graduate in full-time work one year after graduating is £29,000 (compared with the graduate average of £26,000), rising to £37,600 after five years (30% greater than the graduate average of £28,800). *

Salary potential depends on the industry you choose to work in. With experience, actuaries can earn more than £70,000, and investment analysts can earn up to £100,000 plus bonuses. **

*Based on information in graduate outcome surveys from HESA.ac.uk and Gov.UK.                                             

**Based on information from prospects.ac.uk, September 2023

Jane Wright, Mathematics student
My course is teaching me how to think like a proper Mathematician. Mathematics is a language that applies logic and reason to challenging puzzles that can be solved to make sense of the world around us.
Jane Wright
MMath student
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Apply

Start date:

Mathematics (1 year entry)

Start date:

Mathematics (2 year entry)

Start date:

Mathematics (1 year entry)

Start date:

Mathematics (2 year entry)

Start date: Sep 2025

Mathematics (1 year entry)

full-time
Start date: Sep 2025

UCAS Applications

Apply through UCAS if you are a UK applicant. International applicants may apply through UCAS if they are applying to more than one UK University.

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Direct Applications

Our Direct applications service is for international applicants who wish to apply to the University of Strathclyde at this time.

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Start date: Sep 2025

Mathematics (2 year entry)

full-time
Start date: Sep 2025

UCAS Applications

Apply through UCAS if you are a UK applicant. International applicants may apply through UCAS if they are applying to more than one UK University.

Apply now

Direct Applications

Our Direct applications service is for international applicants who wish to apply to the University of Strathclyde at this time.

Apply now
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Contact us

Mathematics & Statistics

Telephone: +44 (0)141 548 3804

Email: mathstat-ugselector@strath.ac.uk

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