Mathematics (MMath)

Study Mathematics because it is fascinating, challenging and elegant and because it provides the skills much in demand for a wide range of careers. 

A Mathematical Formula.

The four-year MMath programme provides the opportunity to delve more deeply into pure and applied mathematics than is possible on a BSc course. The programme is an ideal preparation if you want to go on to research work in mathematics, work for a technological company or simply want to gain a deeper understanding of mathematics, and develop skills which are in demand by a range of prospective employers.

The modules you choose in Years Two and Three will inform the choices available to you later.  You will study 120 credits of modules in each year.

Our programmes have a large degree of commonality in Year One and if you wish to change to another programme within the School this can be discussed with your personal tutor and may be subject to your academic performance.

Key facts

UCAS CodeG101
Entry pointSeptember 2016
Duration4 years
Studying in WelshThis course offers elements that are taught through the medium of Welsh. Please contact the Admissions tutor for more information.
AccreditationsInstitute of Mathematics and its Applications (IMA)
Typical places availableThe School typically has approx 170 places available.
Typical applications receivedThe School typically receives approx 700 applications.
Typical A level offerAAA-A*AB to include an A in Mathematics.
Typical Welsh Baccalaureate offerWBQ core will be accepted in lieu of one A-level (at the grades specified above), excluding Mathematics.
Typical International Baccalaureate offer36 points including at least 6 in Maths at Higher Level
Other qualificationsWe also welcome applications from students from overseas and from students who have equivalent qualifications, such as BTEC, GNVQ, ACCESS, etc. Applicants with such qualifications should contact the admissions tutor, Dr Jonathan Thompson or administrator Caroline Frame, for more information.

Detailed alternative entry requirements are available for this course.
QAA subject benchmark

Mathematics, Statistics and Operational Research

Admissions tutor(s)

Dr Jonathan Thompson, Admissions Tutor

Important Legal Information: The programme information currently being published in Course Finder is under review and may be subject to change. The final programme information is due to be published by May 2016 and will be the definitive programme outline which the University intends to offer. Applicants are advised to check the definitive programme information after the update, to ensure that the programme meets their needs.

The MMath degree programme is offered to satisfy a need for a more advanced level of mathematical training than is available in a 3-year programme. The modules offered in the first three years of the programme are common to the 3-year degree programmes in mathematics, allowing the flexibility of transfer between courses.

Year one

In the first year you study a variety of mathematics and computing modules.

Module titleModule codeCredits
Elementary Differential EquationsMA100110 credits
GeometryMA100410 credits
Elementary Number Theory IMA011110 credits
Foundations of Mathematics IMA100520 credits
Vectors and MatricesMA100710 credits
Introduction to Probability TheoryMA150010 credits
Foundations of Mathematics IIMA100620 credits
Computing for MathematicsMA100320 credits

Module titleModule codeCredits
Mechanics IMA130010 credits
Statistical InferenceMA150110 credits

Year two

There are more optional modules in Year Two, currently 40 credits of optional modules are studied.

Module titleModule codeCredits
Analysis IIIMA022110 credits
Linear AlgebraMA021210 credits
Series and TransformsMA200410 credits
Calculus of Several VariablesMA200110 credits
Matrix AlgebraMA200210 credits
Vector CalculusMA230110 credits
Complex AnalysisMA200310 credits

Module titleModule codeCredits
Modelling with Differential EquationsMA023210 credits
Operational ResearchMA026120 credits
Mechanics IIMA230010 credits
Elementary Number Theory IIMA021610 credits
Elementary Fluid DynamicsMA023510 credits
Ordinary Differential EquationsMA200510 credits
Foundations of Probability and StatisticsMA250020 credits
GroupsMA021310 credits
Numerical Analysis IIMA270010 credits
Module titleModule codeCredits
Julian the ApostateHS330710 credits
Greek ValuesHS330910 credits
Athens in the Age of Demosthenes and LykourgosHS337110 credits
Hellenistic Art and ArchitectureHS435610 credits
Latin Historical TextsHS334310 credits
Latin Historical TextsHS334410 credits
Reading Greek IHS342320 credits
Reading Greek 2HS332420 credits
Reading Latin 1HS342120 credits
Reading Latin 2HS332220 credits
Greek Historical TextsHS334510 credits
Byzantium: The Golden Age, c. 850 - 1050HS332910 credits
Greek Historical TextsHS334610 credits
Conquest & Crisis: The Roman RepublicHS331630 credits
Gender & Sexuality in Greece and RomeHS336220 credits
The Roman ArmyHS436720 credits
Viking-Age ScandinaviaHS238010 credits
Complex Societies in Barbarian EuropeHS236510 credits
Structure & Corrosion of MetalsHS235910 credits
Neolithic Beginnings: Last Foragers and First Farmers in the Eastern MediterraneanHS242420 credits
Viking Britain and IrelandHS231010 credits
Neolithic/Early Bronze Age BritainHS235720 credits
Medieval ArchaeologyHS238220 credits
Art & Archaeology of Archaic GreeceHS238620 credits
War, Peace and Diplomacy, c.900-c.1250HS170730 credits
Heresy & Dissent 1000-1450HS171030 credits
Class, Protest and Politics: South Wales 1918-39HS186830 credits
Heresy & Dissent 1000-1450HS171030 credits
Culture, Soc & I.D. in Wales 1847-1914HS186530 credits
Poverty and Relief in Medieval EuropeHS171430 credits
The British Civil Wars and Revolution, C.1638-1649HS174230 credits
Building the Modern WorldHS174430 credits
Being Human: Self and Society in Britain from Darwin to the Age of Mass CultureHS174830 credits
Nations, Empire and Borderlands from 1789 to the presentHS174930 credits
From King Coal To Cool Cymru: Society and Culture in Wales, 1939-2000HS175630 credits
"An Empire for Liberty": Race, Space and Power in the United States, 1775-1898HS176030 credits
India and The Raj 1857-1947HS176530 credits
The Search for an Asian Modern: Japanese History from 1800 to the Post-War EraHS176830 credits
The Soviet Century: Russia and the Soviet Union, 1905-1991HS177630 credits
Into The Vortex: Britain and The First World WarHS178730 credits
Making Empires: Britain and the World, 1541 - 1714HS179330 credits
Medicine and Modern Society, 1750-1919HS179930 credits
The World of the Anglo-Saxons, c.500-c.1087HS180330 credits
Sexuality and the Social Order in Medieval EuropeHS180430 credits
The Military Orders 1100-1320HS180530 credits
Deviants, Rebels and Witches in Early Modern Britain and IrelandHS182830 credits
From Bismarck To Goebbels: Biography and Modern German History, 1870-1945HS182930 credits
Politics, Economics and Strategy: Britain's European Dilemma, 1951-1975HS183930 credits
Race, Sex and Empire & India, 1765-1929HS185530 credits
Glimpses of the Unfamiliar: Travellers to Japan from 1860 to the Post-War EraHS185830 credits
Cymru a'r Rhyfel Mawr, 1880-2014HS186730 credits
Identity and The British State: Wales, 1485-1660HS187230 credits
Violence and Ideology in Inter-War Soviet RussiaHS188330 credits
Europe and the Revolutionary Tradition in the Long Nineteenth CenturyHS188730 credits
Slavery and Slave Life in North America, 1619-1865HS189030 credits
Gender, Power and Subjectivity in Twentieth-Century BritainHS189430 credits
The Dangerous City? Urban Society & Culture 1800-1914HS189630 credits
Intermediate Sanskrit TextsRT122420 credits
Islam in The Contemporary WorldRT121120 credits
Early HinduismRT133820 credits
Exploring GnosticismRT121820 credits
Indian Philosophy, Indian HistoryRT122320 credits
Understanding Muslim ScripturesRT122620 credits
Buddhism: The First Thousand YearsRT122720 credits
New Testament EpistlesRT320520 credits
New Testament Greek Texts IRT320920 credits
Reformation HistoryRT420520 credits
The Early Church: History and MemoryRT420820 credits
The Medieval Church in the Latin WestRT420920 credits
Beliefs in the CrucibleRT520420 credits
Christian 'Church' Today: Its Meaning, Life and MissionRT520520 credits
History & Religion of Ancient IsraelRT230120 credits
Arabic Texts IRT131020 credits
Arabic Texts IIRT131120 credits
Early Hindu Texts in SanskritRT132820 credits
Gender and Sexuality: Islamic PerspectivesRT134520 credits
The Life of the BuddhaRT135220 credits
Christian Spirituality, 150-1550 CERT430720 credits
Understanding Christian WorshipRT432020 credits
Theology On The Edge: Christian Thought in A Changing WorldRT531520 credits
Christian Social Ethics TodayRT731720 credits
Modern Welsh LiteratureCY373210 credits
Wales and The Welsh LanguageCY373310 credits
Welsh 1CY377420 credits
Welsh 2CY377520 credits
Welsh Culture and FolkloreCY373410 credits
Cyflwyniad I'r GymraegCY374220 credits
Llenyddiaeth GymraegCY374320 credits
O Destun I DraethawdCY374420 credits
C++ Programming ICE265220 credits
C Programming 1CE334020 credits
C Programming IICE334110 credits
Shell and Perl Programming ICE501120 credits
Introduction To Irish 1CY401110 credits
Introduction To Irish 2CY401310 credits
Developing Enterprise & Employability SkillsCE506710 credits
Japanese HistoryML150110 credits
Contemporary Japanese SocietyML250510 credits
Linear AlgebraMA021210 credits
GroupsMA021310 credits
Elementary Number Theory IIMA021610 credits
Analysis IIIMA022110 credits
Modelling with Differential EquationsMA023210 credits
Elementary Fluid DynamicsMA023510 credits
Operational ResearchMA026120 credits
Visual Basic Programming For ORMA027610 credits
AccountancyMA029110 credits
Calculus of Several VariablesMA200110 credits
Matrix AlgebraMA200210 credits
Complex AnalysisMA200310 credits
Series and TransformsMA200410 credits
Ordinary Differential EquationsMA200510 credits
Mechanics IIMA230010 credits
Vector CalculusMA230110 credits
Foundations of Probability and StatisticsMA250020 credits
Programming and StatisticsMA250110 credits
Numerical Analysis IIMA270010 credits
Yr Ystafell Newyddion 1MC261720 credits
Yr Ystafell Newyddion 2MC261820 credits
C ProgrammingCE514010 credits
Java ICE333720 credits
Gods & the Polis: Athenian FestivalsHS333010 credits
C++ ProgrammingCE514310 credits

Year three

In Year Three you will take a selection of advanced modules which allow you to build on the interests developed so far.

Year four

In Year Four the course develops research training and enhanced mathematical skills, especially in Mathematical Analysis, Mathematical Physics and Fluid Dynamics. There is also a major piece of project work in which you will undertake novel research.

Module titleModule codeCredits
MMath ProjectMA490040 credits
The University is committed to providing a wide range of module options where possible, but please be aware that whilst every effort is made to offer choice this may be limited in certain circumstances. This is due to the fact that some modules have limited numbers of places available, which are allocated on a first-come, first-served basis, while others have minimum student numbers required before they will run, to ensure that an appropriate quality of education can be delivered; some modules require students to have already taken particular subjects, and others are core or required on the programme you are taking. Modules may also be limited due to timetable clashes, and although the University works to minimise disruption to choice, we advise you to seek advice from the relevant School on the module choices available.

The School strives to ensure that its students react enthusiastically to their courses and thoroughly enjoy their learning experience. The School offers a range of research-led teaching and learning opportunities which develop essential mathematical and employability skills. Teaching is carried out through lectures, tutorials and examples classes. To aid the transition to University, there are tutorial sessions that promote peer interaction and discussion.

Increased independent learning is encouraged throughout the programme.

In all years the classes are used to discuss both theoretical concepts and essential mathematical techniques. You are encouraged to undertake additional reading outside of timetabled classes and fully engage with and reflect upon the assessments that take place. Many modules include written examinations that take place at the end of the Autumn or Spring Semester, with some also having an element of continuous assessment. This may include problem solving exercises, written reports, computer programs, oral presentation etc.

Feedback on progress is typically provided through a combination of discussion in class, written comments on submitted work and review of outline solutions to problems. You are encouraged to discuss any queries related to specific modules with individual lecturers.

The degree award for MMath is currently based on 20% from Year Two, 30% from Year Three and 50% from Year Four.

You will be allocated a Personal Tutor to offer pastoral advice, guidance and support. You are encouraged to utilise personal tutors to reflect upon your academic and personal development. To aid this process, an extensive online Personal Development Planning module is available to all students via Learning Central (Cardiff University's Virtual Learning Environment). Although Personal Tutors do not have a formal role in the teaching process, most tutors are very happy to provide academic help when possible. Module information and related resources are also made available via Learning Central.

The Mathematics degree programmes at Cardiff will equip you with specialist numerical skills and develop your capacity for logical and analytical thought. These are qualities which are in demand across a broad range of stimulating and rewarding careers. 

In addition to the formal teaching on the programme the School of Mathematics also has significant engagement with the Careers Service and Employers. This includes a Careers Management Skills Programme, numerous company presentations held in the School, presentations by students returning from industry, and a range of sponsored prizes awarded for academic achievement.

Graduates of the MMath programme often progress to PhD studies and other advanced study.  Employers of our students include the financial services sector, and organisations such as the Office of National Statistics and the Meteorological Office.

Please see the Key Information Sets for our latest employability statistics.

Jobs

  • Finance Manager
  • Lecturer
  • Risk Analyst
  • Statistician

Duration

4 Year(s)

Next intake

September 2016

Places available

Typical places available

The School of Mathematics admits around 180 students every year to its undergraduate degree programmes.

Applications received

Typical applications received

The School of Mathematics typically receives 700 applications

Accreditations

QAA subject benchmark

QAA subject benchmark

Mathematics, Statistics and Operational Research

What are the aims of this Programme?

The MMath programme aims to:

  • Provide an education in mathematics appropriate for those intending to become professional mathematicians, or wish to gain a deeper understanding of mathematics
  • Produce graduates with the intellectual and employability skills appropriate both for further study, including a possible research career, and for a range of professional working environments
  • Provide opportunities for students to fulfil their academic potential, acquire research and transferable skills, maximise their career potential and achieve personal growth
  • Provide students with a sound basis of knowledge, understanding and skills in the main areas of mathematics
  • Develop in students an understanding of and facility with abstract mathematical concepts, logical argument and deductive reasoning
  • Provide opportunities for students to engage with a range of modern mathematical theory and techniques
  • Provide an opportunity for students to undertake a substantial mathematical project at an advanced level

The MMath Programme is offered to satisfy a need for a more advanced level of mathematical training than is available in a 3-year programme. The course is an ideal preparation for students wishing to go on to research work in mathematics, work for a technological company or who simply want to gain a deeper understanding of mathematics.

What is expected of me?

Students are expected to:

  • Attend all timetabled classes
  • Engage with all forms of summative and formative in-course assessment to allow self-reflection on progress towards the learning outcomes
  • Engage in at least one hour independent study in addition to every taught hour of study. Increasing independence of learning is expected as the programme progresses
  • Adhere to the Cardiff University policy on Dignity at Work and Study.

How is this Programme Structured?

In each of the three years, candidates take 120 credits, with individual modules consisting of 10 or 20 credits. 

In Year 1 the majority of modules are core (compulsory) and include essential mathematical topics such as Calculus, Algebra and Analysis. Further options are also available in Mechanics, Statistics and Number Theory. 

Year 2 likewise consists of 80 credits of core modules, with a broader range of optional modules available in pure and applied mathematics, statistics and operational research.

The modules in Year 3 are closely aligned to the research interests of the School. There are 60 credits of core modules, with a range of further optional modules available, allowing students to focus on topics of particular interest. 

The taught research-led modules offered in the Year 4 have been designed to develop research training and enhanced mathematical skills. There is also a compulsory 40 credit project to be undertaken in Year 4. This provides the opportunity to develop presentation and communication skills, in addition to applying your mathematical skills to a research topic of your choice.

Will I need any specific equipment to study this Programme?

No specific equipment required. 

What skills will I practise and develop?

Graduates from this Programme will be able to:

  • Demonstrate knowledge of core mathematics including calculus, algebra, analysis and complex variable theory
  • Understand the principles and some of the techniques of proof
  • Apply the principles and techniques of mathematical modelling in application areas
  • Demonstrate knowledge of theory, methods and applications in chosen areas of specialisation
  • Demonstrate knowledge of research methods in mathematics
  • Apply the skills needed in mathematical reasoning and manipulation
  • Identify and apply appropriate methods for the solution of mathematical problems
  • Apply analysis and evaluation skills
  • Perform mathematical calculations with attention to precision and logic
  • Formulate and solve mathematical problems
  • Use appropriate computer packages
  • Undertake a substantial mathematical project

How will I be taught?

The teaching on the Programme is predominantly lecture-based, including a major project component with an element of formal instruction in research methods and presentation skills in the fourth year. In Year One fortnightly tutorial sessions are provided. These sessions give students the opportunity to discuss problems with their peers in a smaller, group environment and also receive feedback on exercise problems. In all years lectures are supported by examples classes (laboratory classes where appropriate), where additional problems are discussed, oral feedback given and model solutions made available for further reflection. In the first three years of study these sessions are typically lecturer-led; in year four, further student participation is expected as some lectures will take more of a seminar style format.

How will I be assessed?

Assessment:

Summative assessment is primarily by means of unseen written examinations, often in combination with an in-course assessment element. All Year One modules include a component of in-course assessment. In all subsequent years the balance varies according to the nature of the module. The summative assessment of the compulsory research project in Year Four takes the form of a written report, and its oral examination. Formative assessment is primarily by means of problem exercises, with other means where appropriate.

Feedback:

Feedback is provided on all forms of assessment.

Written feedback and outline solutions on in-course assessment provides students with the opportunity to regularly reflect on their progress. Further feedback is provided in examples classes and tutorials (in Year 1) which allow for problems to be reviewed in more detail and potential solutions to be discussed. 

Written question by question feedback is also provided for all examinations. 

How will I be supported?

All students are allocated a Personal Tutor for the duration of the Programme, from whom they can expect to receive pastoral advice, guidance and support. Students are encouraged to utilise personal tutors to reflect upon their academic and personal development, as well as future employment opportunities. To aid this process, an extensive online Personal Development Planning module is available to all students via Learning Central (Cardiff University’s Virtual Learning Environment).

Although Personal Tutors do not have a formal role in the teaching process most tutors are very happy to provide academic help when possible and students are encouraged to approach them at any time. In addition, students are encouraged to discuss any queries related to specific modules with individual lecturers. Course information and related resources are also made available to students via Learning Central.

Further learning support is also available via the University wide Maths Support Service. This provides relaxed and informal daily drop-in sessions where students are encouraged to discuss any elements of their studies with a tutor on a one-to-one or small group basis.

What are the Learning Outcomes of this Programme?

Graduates from this Programme will be able to:

  • Demonstrate knowledge of core mathematics including calculus, algebra, analysis and complex variable theory
  • Understand the principles and some of the techniques of proof
  • Apply the principles and techniques of mathematical/statistical modelling in application areas
  • Demonstrate knowledge of theory, methods and applications in chosen areas of specialisation
  • Apply the skills needed in mathematical reasoning and manipulation
  • Identify and apply appropriate methods for the solution of mathematical problems
  • Apply analysis and evaluation skills
  • Perform mathematical calculations with attention to precision and logic
  • Formulate and solve mathematical problems
  • Use appropriate computer packages

Other information

Further information on modules, teaching methods and research activities can be found on the School of Mathematics website.

Admissions tutors

Dr Jonathan Thompson, Admissions Tutor


Key Information Sets (KIS) make it easy for prospective students to compare information about full or part time undergraduate courses, and are available on the Unistats website.

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