Geometry drawing

MMathMathematics

Why this course?

The MMath is more challenging than the Honours degree. The aim of this course is to give you 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.

Our course 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.

What you’ll study

The MMath Mathematics is a five-year programme. Each year contains compulsory classes and some years contain either optional classes, which relate to different areas of mathematics, and/or elective classes 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 classes.

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

Years 4 & 5

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

Mathematics & Statistics

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

High Flyer Programme

Well-qualified applicants with appropriate A Levels and Advanced Highers will be admitted to the Faculty of Science prestigious 'High Flyer' Programme, which allows students to complete an Honours degree in three years and an Integrated Masters degree in four. If you are studying the relevant subjects you may receive a dual offer, specifying grades to direct entry to Year 2 as a High Flyer and also standard Year 1 entry.

Find out more about our High Flyer Programme.

Study abroad

You have the opportunity to spend time studying abroad, normally in the third year of the course. We have links with three universities in Europe for exchanges under the European Union's SOCRATES (ERASMUS) scheme.

You can study at:

  • University of Limerick, Republic of Ireland
  • Johannes Kepler University, Linz, Austria
  • Technical University of Denmark, Lyngby, Denmark

We also have links with several non-European universities, and our students have recently studied abroad at:

  • Nanyang Technological University, Singapore
  • University of Otago, New Zealand
  • University of Toronto, Canada

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.  

Accreditation

Accredited by the Institute of Mathematics and its Applicationsfor the purpose of meeting in full the educational requirement for chartered status.

Course content

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

Year 1

Introduction to Calculus
You'll study the basic concepts and standard methods of mathematical notation and proof, polynomial equations and inequalities, sequences and series, functions, limits and continuity, differentiation and integration.
Applications of Calculus

The fundamental concepts of calculus (differentiation and integration) presented in Applications of Calculus will be examined in more detail, extended to a larger class of functions by means of more sophisticated methods, including an introduction to complex numbers and variables, all demonstrated in application to practical problems including solving basic first and second-order differential equations.  

Geometry & Algebra with Applications

This class will introduce you to vectors and matrices, along with the idea of mathematical modelling through their application to real-world problems.

Statistics & Data Presentation

Some basic ideas and techniques of statistics will be presented while introducing some essential study skills, allowing you to develop and practice personal and technical skills eg self-study, teamwork, analysing data, writing reports and making presentations.

 

Applications of Mathematics

This class will introduce you to a range of interesting applications and explain the mathematics behind them.

Year 2

Linear Algebra & Differential Equations

This class 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

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 will be presented.

Applicable Analysis

This class 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, and will illustrate the importance of these concepts in the analysis of problems arising in applications.

Probability & Statistical Inference

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

Introduction to Newtonian Mechanics

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

Mathematical & Statistical Computing

This class 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.

Year 3

Complex Variables & Integral Transforms

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

Linear Algebra

Here 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

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 classes

Applicable Analysis

We'll introduce you to the basic theory and applications of metric spaces, normed vector spaces and Banach spaces, inner product spaces and Hilbert spaces, and bounded linear operators on normed linear spaces.

Inference & Regression Modelling

This class 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

This class 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

This module will motivate the need for numerical algorithms to approximate the solution of problems that can't be solved with pen and paper. It'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

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.

Year 4

Communicating Mathematics & Statistics

This class 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.

Optional classes

Modelling & Simulation with Applications to Financial Derivatives

Here 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 class 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

This class 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.

Statistical Modelling & Analysis

This class will provide you with a range of applied statistical techniques that can be used in professional life.

Fluids & Waves

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

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

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

Mathematical Biology & Marine Population Modelling

Here you'll learn the application of mathematical models to a variety of problems in biology, medicine, and ecology. It'll 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, and 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

This class 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.

Year 5

Project

The class 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.

Modelling & Simulation with Applications to Financial Derivatives
This class 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 class 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

To 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.

Statistical Modelling & Analysis

We'll provide you with a range of applied statistical general linear modelling techniques that can be used in professional life for the analysis of univariate and multivariate data.

Fluids & Waves

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

 

Fininte Element Methods for Boundary Value Problems & Approximation
This class 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

This class will introduce students 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

This course will teach the application of mathematical models to a variety of problems in biology, medicine, and ecology. It'll 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, and 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

This class 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.

Topics in Applied Analysis

This class 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

This class 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

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

Topics in Numerical Analysis

This class 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

This class 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. To show students that these models an form the basis for decision making. The class 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).

Assessment

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

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

Entry requirements

Minimum grades

Required subjects are indicated following minimum accepted grades.

Highers

Year 1 entry: AAAB or AABBB (Maths A, Advanced Higher Maths recommended) 

Advanced Highers

Year 2 entry: AA (Maths A) 

A Levels

Year 1 entry: BBB

Typical entry requirements: ABB (Maths A)

Year 2 entry: ABB (Maths A)

Typical entry requirements: AAA

International Baccalaureate

Year 1 entry: 34 (Maths HL6); Year 2 entry: 36 (Maths HL6) 

HNC

Offers entry to BSc in first instance

Additional information

  • deferred entry accepted

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.

International students

Find out entry requirements for your country.

Degree preparation course for international students

We offer international students (non EU/UK) who do not meet the entry requirements for an undergraduate degree at Strathclyde the option of completing an Undergraduate Foundation year programme at the International Study Centre. To find out more about these courses and opportunities on offer visit isc.strath.ac.uk or call today on +44 (0) 1273 339333 and discuss your education future.

You can also complete the online application form, or to ask a question please fill in the enquiry form and talk to one of our multi-lingual Student Enrolment Advisers today.

Fees & funding

How much will my course cost?

Scotland/EU

  • 2016/17 - £1,820

Rest of UK

  • 2016/17 - £9,000

International

  • 2016/17 - £13,900

Additional fees 

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 £20-60 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.  

Other costs 

£40 returnable deposit for PRS handsets.

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?

Students from Scotland and the EU

If you're a Scottish or EU student, 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.

Students from England, Wales & Northern Ireland

If you’re from England, Wales or Northern Ireland you may be able to apply for help to pay your tuition fees and living costs from your local funding body.

We also have a few bursaries on offer for students from England, Wales and Northern Ireland.

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

International Students (Non UK, EEA)

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

Available scholarships

We have a wide range of scholarships available. Have a look at our scholarship search to find a scholarship.

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 average starting salary for graduates with a mathematics degree is around £24,000.

Salary potential depends on the industry you choose to work in. With experience, actuaries can earn more than £60,000, numerical analysts £60,000. Investment analysts can earn up to £100,000 with bonuses.*

*Intended only as a guide.

Contact us

Apply

How to apply – 10 things you need to know

  1. All undergraduate applications are made through UCAS
    Go to the UCAS website to apply – you can apply for up to five courses.
  2. It costs £12 to apply for a course
    The cost is £23 for two to five courses.
  3. The deadline is 15 January each year
    This is the application deadline for most courses. However, please check the details for your particular course. View a full list of UCAS key dates.
  4. You might be asked to attend an interview
    Most of our courses make offers based on the UCAS application. However some might ask you to attend an interview or for a portfolio of work. If this is the case, this will be stated in the prospectus entry requirements.
  5. It’s possible to apply directly to Year 2
    Depending on your qualifications, you might be able to apply directly to Year 2 - or even Year 3 - of a course. Speak to the named contact for your course if you want to discuss this.
  6. There’s three types of offer
    • unconditional – you’ve already met our entry requirements
    • conditional – we’ll offer you a place if you meet certain conditions, usually based on your exams
    • unsuccessful – we’ve decided not to offer you a place
  7. You need to contact UCAS to accept your offer
    Once you’ve decided which course you’d like to accept, you must let UCAS know. You don’t need to decide until you’ve received all offers. UCAS will give you a deadline you must respond by.

    You’ll choose one as your firm choice. If the offer is unconditional or if you meet the conditions, this is the course you’ll study.

    You’ll also have an insurance choice. This is a back-up option if you don’t meet the conditions of your first choice.
  8. You don’t need to send us your exam results (Scotland, England & Wales)
    If you’re studying in Scotland, England or Wales, we receive a copy of your Higher/Advanced Higher/A Level results directly from the awarding body. However, if you are studying a different qualification, then please contact us to arrange to send your results directly.
  9. We welcome applications from international students

    Find out further information about our entry and English language requirements.

    International students who don’t meet the entry requirements, can apply for our pre-undergraduate programmes.

    There’s also an online application form.

    For further information:
  10. Here’s a really useful video to help you apply

Discover more about Strathclyde