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MSc Applied Mathematics

Year of entry: 2022

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Overview

Degree awarded
Master of Science
Duration
12 Months Full Time; 24 Months Part Time
Entry requirements

The entry requirement to the programmes is normally a good honours degree, with strong marks in relevant modules, in mathematics or a mathematically-related discipline or an equivalent overseas qualification in a mathematical subject.

Expected Background

Some general expectations can be found at this link , with references to existing courses on that material in Manchester. It should hopefully give you a feel for the course and what is expected of the incoming student. We would only consider a few of these courses as absolutely essential, but some additional background is desirable and will certainly assist you greatly for course preparation. If in doubt then please contact us.

Full entry requirements

How to apply

Apply online . If you wish to choose one of the optional pathways (Numerical Analysis or Industrial Modelling) please indicate which pathway you wish to pursue when making your online application.

As there is high demand for this course we operate a staged admissions process with selection deadlines throughout the year. Due to the competition for places, we give preference to students with grades above our minimum entry requirements. If we make you an offer, you will have 6 weeks in which to accept. Any offers not accepted within 6 weeks will be withdrawn so that an offer can be made to another candidate. 

Stage 1 :  Application received by 12 November 2021; Decision by  14 January 2022 .

Stage 2 :  Application received by 7 January 2022; Decision by  11 March 2022 .

Stage 3 :  Application received by 4 March 2022; Decision by  22 April 2022 .

Stage 4 :  Application received by 27 May 2022; Decision by  24 June 2022 .

You need to ensure that you submit your supporting documents with your application as it may delay us processing your application before the decision deadline.

Whilst we aim to give you a decision on your application by the deadline date, in some instances due to the competition for places and the volume of applications received, it may be necessary to roll your application forward to the next deadline date. If this is the case we will let you know after the deadline date.

Applications received after our final selection deadline will be considered at our discretion if places are still available.

Please note: All places are subject to availability and if you apply at one of the later stages, some courses may already be closed. We therefore recommend that you apply early in the cycle to secure your place with us.

Applicants who are made a conditional offer of a place must demonstrate that they have met all the conditions of their offer by 31 July 2022.  

Course options

Full-time Part-time Full-time distance learning Part-time distance learning
MSc Y Y N N

Course description

The Applied Mathematics group in the Department of Mathematics at the University of Manchester has a long-standing international reputation for its research. Expertise in the group encompasses a broad range of topics, including Continuum Mechanics, Analysis & Dynamical Systems, Industrial & Applied Mathematics, Inverse Problems, and Numerical Analysis & Scientific Computing. The group has a strongly interdisciplinary research ethos, which it pursues in areas such as Mathematics in the Life Sciences, Uncertainty Quantification & Data Science, and within the Manchester Centre for Nonlinear Dynamics. 

The Applied Mathematics group offers the MSc in Applied Mathematics as an entry point to graduate study. The MSc consists of five core modules (total 75 credits) covering the main areas of mathematical techniques, modelling and computing skills necessary to become a modern applied mathematician. Students then choose three options, from a list including specialist options relevant to numerical analysis and industrial modelling (total 45 credits). Finally, a dissertation (60 credits) is undertaken with supervision from a member of staff in the applied mathematics group with the possibility of co-supervision with an industrial sponsor.

The selection of optional courses in the MSc are centred around numerical analysis and industrial mathematics, reflecting research strengths within the Applied Mathematics group at Manchester.

Numerical Analysis - the study of algorithms for the problems of continuous mathematics - has been an area of strength since the first stored-program electronic digital computer, the Baby, was born at the University of Manchester in 1948, and we have run an MSc course in numerical analysis continuously since 1959. The optional numerical analysis modules develop essential skills for analysing, designing and implementing mathematical algorithms for leading edge scientific computing.

Industrial Mathematics and Industrial Modelling (any aspect of mathematics that can influence the way industry approaches or solves problems) is having an increasing importance within a variety of industrial sectors. Typical examples of industrial modelling problems are modifications to the way that fluid is pumped through a pipe, the design of algorithms for data encryption, modelling new types of materials used for sound reduction, understanding the instability between fluids of different viscosities, and determining how soft tissue deforms under applied forces.

Open days

For details of the next University Postgraduate open day, visit open days and visits

Fees

For entry in the academic year beginning September 2022, the tuition fees are as follows:

  • MSc (full-time)
    UK students (per annum): £12,500
    International, including EU, students (per annum): £23,500
  • MSc (part-time)
    UK students (per annum): £6,250
    International, including EU, students (per annum): £11,750

Further information for EU students can be found on our dedicated EU page.

The fees quoted above will be fully inclusive for the course tuition, administration and computational costs during your studies.

All fees for entry will be subject to yearly review and incremental rises per annum are also likely over the duration of courses lasting more than a year for UK/EU students (fees are typically fixed for International students, for the course duration at the year of entry). For general fees information please visit: postgraduate fees . Always contact the department if you are unsure which fee applies to your qualification award and method of attendance.

Self-funded international applicants for this course will be required to pay a deposit of £1000 towards their tuition fees before a confirmation of acceptance for studies (CAS) is issued. This deposit will only be refunded if immigration permission is refused. We will notify you about how and when to make this payment.

Policy on additional costs

All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).

Scholarships/sponsorships

We offer a number of postgraduate taught scholarships and awards to outstanding UK and international students each year.

If you're a current or recent student at The University of Manchester and plan to start a master's course in the Faculty of Science and Engineering, you may be eligible for our  Manchester Alumni Scholarship Schemes .

The University of Manchester is committed to widening participation in master's study, and allocates £300,000 in funding each year. Our  Manchester Master's Bursaries  are aimed at widening access to master's courses by removing barriers to postgraduate education for students from underrepresented groups.

For more information, see the Department of Mathematics Fees and funding  page or visit the University of Manchester  funding for master's courses website for more information.

Contact details

Department
Department of Mathematics
Contact name
Postgraduate Admissions Team
Telephone
0161 543 4020
Email
Website
https://www.maths.manchester.ac.uk/
School/Faculty

Our internationally-renowned expertise across the School of Natural Sciences informs research led teaching with strong collaboration across disciplines, unlocking new and exciting fields and translating science into reality.  Our multidisciplinary learning and research activities advance the boundaries of science for the wider benefit of society, inspiring students to promote positive change through educating future leaders in the true fundamentals of science. Find out more about Science and Engineering at Manchester .

Courses in related subject areas

Use the links below to view lists of courses in related subject areas.

Entry requirements

Academic entry qualification overview

The entry requirement to the programmes is normally a good honours degree, with strong marks in relevant modules, in mathematics or a mathematically-related discipline or an equivalent overseas qualification in a mathematical subject.

Expected Background

Some general expectations can be found at this link , with references to existing courses on that material in Manchester. It should hopefully give you a feel for the course and what is expected of the incoming student. We would only consider a few of these courses as absolutely essential, but some additional background is desirable and will certainly assist you greatly for course preparation. If in doubt then please contact us.

English language

All applicants will need to demonstrate competency in English language. Applicants who do not already possess an acceptable English Language qualification will need to take a recognised test and attain the required English Language score:

  • IELTS:  at least 6.5 overall with no sub-test below 6.0.
  • TOEFL iBT:  at least 90 overall with no sub-test below 20. We do not accept 'MyBestScore'.
  • Pearson PTE: at least 70 overall with no sub-test below 65.

Further information on language requirements can be found on our website .

Pre-sessional English

We will consider applicants who do not meet these scores but you may be required to complete a pre-sessional English language course at the University of Manchester prior to the start of the course.

To be considered for a pre-sessional English language course for this programme we require the following minimum IELTS (Academic) scores:

  • 6 Week Pre-Sessional Course:  Minimum 6.0 overall with no sub-test below 5.5.

If you have not yet completed your current academic study and are interested in studying a pre-sessional course, you must hold an IELTS for UKVI (Academic) test certificate.

English language test validity

Some English Language test results are only valid for two years. Your English Language test report must be valid on the start date of the course.

Application and selection

How to apply

Apply online . If you wish to choose one of the optional pathways (Numerical Analysis or Industrial Modelling) please indicate which pathway you wish to pursue when making your online application.

As there is high demand for this course we operate a staged admissions process with selection deadlines throughout the year. Due to the competition for places, we give preference to students with grades above our minimum entry requirements. If we make you an offer, you will have 6 weeks in which to accept. Any offers not accepted within 6 weeks will be withdrawn so that an offer can be made to another candidate. 

Stage 1 :  Application received by 12 November 2021; Decision by  14 January 2022 .

Stage 2 :  Application received by 7 January 2022; Decision by  11 March 2022 .

Stage 3 :  Application received by 4 March 2022; Decision by  22 April 2022 .

Stage 4 :  Application received by 27 May 2022; Decision by  24 June 2022 .

You need to ensure that you submit your supporting documents with your application as it may delay us processing your application before the decision deadline.

Whilst we aim to give you a decision on your application by the deadline date, in some instances due to the competition for places and the volume of applications received, it may be necessary to roll your application forward to the next deadline date. If this is the case we will let you know after the deadline date.

Applications received after our final selection deadline will be considered at our discretion if places are still available.

Please note: All places are subject to availability and if you apply at one of the later stages, some courses may already be closed. We therefore recommend that you apply early in the cycle to secure your place with us.

Applicants who are made a conditional offer of a place must demonstrate that they have met all the conditions of their offer by 31 July 2022.  

Advice to applicants

We require the following documents before we can consider your application.

  • Latest transcripts of study showing all modules completed including credit weighting and grades achieved (and English translation if applicable).
  • If you have not yet graduated, a list of the modules that you will be completing in the final year of your degree together with their credit weighting.

  • An official document from your university verifying your current weighted average mark if this information is not included in your transcript of study. Please note : this must be recorded as a percentage, not as a GPA grade, and must give the weighted average mark, not an arithmetic average mark.

  • We require references from two people who have knowledge of your academic ability in support of your application, although we can process your application with one academic reference. In most cases, these should be academic references, from a lecturer or professor at your last university. In some cases (for example, if your academic studies occurred some time ago), it might be more appropriate to submit recommendations from those familiar with your professional experience. If you have difficulty in identifying suitable referees you should ask for advice from the admissions team for your course. We will contact your referees directly after you submit your application and direct them to complete our online reference form. 

  • Degree certificate if you have already graduated (and English translation if applicable).

  • Curriculum vitae (CV) if you graduated more than three years ago.

  • If English is not your first language, we also require proof of your English language ability. If you have already taken an English language qualification, please include your certificate with your application. We may be willing to consider your application without this document, but if we choose to make you an offer, the conditions will include IELTS (or equivalent qualification).

You must submit all these supporting documents with your application. If any of the above information is missing, we will not be able to consider your application and it may be rolled forward to the next stage or withdrawn.

How your application is considered

We consider your full academic history including which course units you have taken and the marks obtained. Even if you have met our minimum entry requirements, we will take into account your marks in relevant course units in our final decision making.

If you graduated more than three years ago, we will also consider the information contained on your CV and any relevant work experience you have to assess if you are still able to fulfil the entry criteria.

Interview requirements

No interview is required for this course.

Overseas (non-UK) applicants

CAS Information

Self-funded international applicants for this course will be required to pay a deposit of £1,000 towards their tuition fees before a confirmation of acceptance for studies (CAS) is issued. This deposit will only be refunded if immigration permission is refused. We will notify you about how and when to make this payment.

Please upload a copy of your current valid passport with your application showing the photograph page with your application. For CAS purposes, this must show your full name, date of birth, nationality, passport number and the date the passport is valid until, which must be later than the date of your planned arrival in the UK, and the start date of your course.

If you have previously studied in the UK on a Tier 4 visa as an undergraduate or postgraduate student, please send a copy of your previous CAS statement to us as it will assist with the issue of your new CAS statement. This includes study in the UK on study abroad programmes and any study that you did not complete.

You cannot use your CAS to apply for a visa more than three months before the start date of your course. The Admissions Team will contact you at the appropriate time.

Your CAS number is only valid for one Tier 4 application.

Deferrals

Applications for deferred entry are not accepted for this course. If you receive an offer for 2022 entry and decide not to accept it, should you subsequently wish to be considered for 2023 entry you would be required to reapply.

Re-applications

If you applied in the previous year and your application was not successful you may apply again. Your application will be considered against the standard course entry criteria for that year of entry. In your new application you should demonstrate how your application has improved. We may draw upon all information from your previous applications or any previous registrations at the University as a student when assessing your suitability for your chosen course.

Course details

Course description

The Applied Mathematics group in the Department of Mathematics at the University of Manchester has a long-standing international reputation for its research. Expertise in the group encompasses a broad range of topics, including Continuum Mechanics, Analysis & Dynamical Systems, Industrial & Applied Mathematics, Inverse Problems, and Numerical Analysis & Scientific Computing. The group has a strongly interdisciplinary research ethos, which it pursues in areas such as Mathematics in the Life Sciences, Uncertainty Quantification & Data Science, and within the Manchester Centre for Nonlinear Dynamics. 

The Applied Mathematics group offers the MSc in Applied Mathematics as an entry point to graduate study. The MSc consists of five core modules (total 75 credits) covering the main areas of mathematical techniques, modelling and computing skills necessary to become a modern applied mathematician. Students then choose three options, from a list including specialist options relevant to numerical analysis and industrial modelling (total 45 credits). Finally, a dissertation (60 credits) is undertaken with supervision from a member of staff in the applied mathematics group with the possibility of co-supervision with an industrial sponsor.

The selection of optional courses in the MSc are centred around numerical analysis and industrial mathematics, reflecting research strengths within the Applied Mathematics group at Manchester.

Numerical Analysis - the study of algorithms for the problems of continuous mathematics - has been an area of strength since the first stored-program electronic digital computer, the Baby, was born at the University of Manchester in 1948, and we have run an MSc course in numerical analysis continuously since 1959. The optional numerical analysis modules develop essential skills for analysing, designing and implementing mathematical algorithms for leading edge scientific computing.

Industrial Mathematics and Industrial Modelling (any aspect of mathematics that can influence the way industry approaches or solves problems) is having an increasing importance within a variety of industrial sectors. Typical examples of industrial modelling problems are modifications to the way that fluid is pumped through a pipe, the design of algorithms for data encryption, modelling new types of materials used for sound reduction, understanding the instability between fluids of different viscosities, and determining how soft tissue deforms under applied forces.

Aims

The course aims to develop core skills in applied mathematics and allows students to specialise in industrial modelling or numerical analysis, in preparation for study towards a PhD or a career using mathematics within industry. An important element of the course is transferable skills, which will link with academics and employers to deliver important skills for a successful transition to a research career or the industrial workplace.

Special features

The course features a transferable skills module, with guest lectures from industrial partners. Some dissertation projects may be available with industry.

Teaching and learning

Your teaching will be delivered by a combination of lectures and other in-person classes such as tutorials, computer labs and project supervision meetings, together with online learning materials.

Coursework and assessment

Assessment comprises course work, exams in January and May, followed by a dissertation carried out and written up between June and September. The dissertation counts for 60 credits of the 180 credits and is chosen from a range of available projects, including projects suggested by industrial partners.

Course unit details

Course unit details

 CORE (75 credits)

 * Introduction to Uncertainty Quantification

 * Mathematical Methods

 * Partial Differential Equations

 * Scientific Computing

 * Transferable Skills for Applied Mathematicians

 OPTIONAL (3 modules, 45 credits)

 * Applied Dynamical Systems

 * Continuum Mechanics

 * Stability theory

 * Transport Phenomena and Conservation Laws

 * Advanced Uncertainty Quantification

 * Approximation Theory and Finite Element Analysis

 * Numerical Linear Algebra

 * Numerical Optimization and Inverse Problems  

Course unit list

The course unit details given below are subject to change, and are the latest example of the curriculum available on this course of study.

TitleCodeCredit ratingMandatory/optional
Mathematical Methods (as MAGIC022) MATH64051 15 Mandatory
PDEs: Theory and Practice (MAGIC058) MATH64062 15 Mandatory
Introduction to Uncertainty Quantification MATH64071 15 Mandatory
Transferable Skills for Applied Mathematicians MATH65740 15 Mandatory
Scientific Computing MATH69111 15 Mandatory
Dynamical Systems MATH64041 15 Optional
Advanced Uncertainty Quantification MATH64082 15 Optional
Transport Phenomena and Conservation Laws MATH65122 15 Optional
Stability Theory MATH65132 15 Optional
Approximation Theory and Finite Element Analysis MATH66052 15 Optional
Numerical Linear Algebra MATH66101 15 Optional
Numerical Optimization and Inverse Problems MATH66132 15 Optional
Displaying 10 of 12 course units

Disability support

Practical support and advice for current students and applicants is available from the Disability Advisory and Support Service. Email: dass@manchester.ac.uk

Careers

Career opportunities

The programme will prepare students for a career in research (via entry into a PhD programme) or direct entry into industry. Possible subsequent PhD programmes would be those in mathematics, computer science, or one of the many science and engineering disciplines where applied mathematics is crucial. The programme develops many computational, analytical, and modelling skills, which are valued by a wide range of employers. Specialist skills in scientific computing are valued in the science, engineering, and financial sector.