Mathemateg gyda Blwyddyn Dramor (MMath)

Why study this course

The MMath degree will help you gain a competitive edge in the graduate employment market or prepare for a research career, all while exploring other cultures and practices on a Year Abroad.

The MMath degree expands on the BSc to prepare you for high-level entry into relevant professions. It’s also a solid base for pursuing a research career.

You will learn the same content as the four-year BSc with a Year Abroad degree, plus an additional year where you will complete a major piece of project work, such as:

a survey of an existing area of mathematical theory not covered in taught modules
an introductory research project
the development of a piece of mathematical software

Not only will you explore a research topic of your choice, but you will also develop the crucial project and time management skills that graduate employers are looking for. You will also demonstrate that you are at the forefront of the discipline through extensive coverage of topics such as Mathematical Analysis, Mathematical Physics and Fluid Dynamics.

On this course, you will study at a university abroad during your third year. Our School has agreements with institutions across the globe, and you will have support to apply for your overseas year.

Studying abroad as part of your university experience is a great way to broaden your academic knowledge, immerse yourself in another culture and gain skills that could be valued by employers. Not only will it enhance your CV by demonstrating key skills such as communication, flexibility and collaborative working, it can also provide you with valuable networking opportunities. Above all, it is the start of a new adventure. A chance to experience new cultures and viewpoints, make new friends and share unforgettable experiences.

Distinctive features

Year abroad - You will study at a university abroad where you can learn while you travel and experience the practices and culture of a different country.

Specialist knowledge - Alongside learning a broad range of advanced mathematical techniques, you will gain specialist knowledge and skills through extensive coverage of topics beyond the scope of the BSc degree.

Project-based year - During your final year, you will have the opportunity to complete a substantial mathematical project at an advanced level in a research area of your choice.

Flexible degree schemes - In most cases, you're free to switch between degree programmes at the end of year one if your interests change. You don’t need to choose a university abroad until the beginning of year two, so there’s plenty of time to explore your options and decide where you would like to go.

Support facilities - Your personal tutor who is able to offer advice, in confidence, on both academic and non-academic matters. Plus, you will have access to weekly tutorials, supervised computer laboratories, and daily drop-in sessions for one-to-one support.

Accreditations

Institute of Mathematics and its Applications (IMA)

Where you'll study

Yr Ysgol Mathemateg

Mae ein graddau deallusol cyffrous wedi'u hachredu er mwyn cwrdd â gofynion addysgol enwebiad Mathemategydd Siartredig.

mathematics@cardiff.ac.uk
+44 (0)29 2087 4811
Ffordd Senghennydd, Caerdydd, CF24 4AG

Entry requirements

Typical A level offer

AAA-AAB including Grade A in Maths. Please note that General Studies is not accepted for entry.

Extended Project Qualification: Applicants with grade A in the EPQ will typically receive an offer one grade lower than the standard A level offer. Please note that any subject specific requirements must still be met.

Typical Welsh Baccalaureate offer

The Welsh Baccalaureate Advanced Skills Challenge Certificate will be accepted in lieu of one A-Level (at the grades listed above), excluding any specified subjects.

Typical BTEC offer

DD in BTEC plus A in Maths at A-level.

Typical International Baccalaureate offer

36 points or 666 in 3 Higher Level subjects, to include 6 in Higher level Maths or Higher Level Maths Analysis and Approaches. Higher Level Maths Applications and Interpretations will be considered on a case-by-case basis but is not accepted as standard for entry. 36 pwynt neu 666 mewn 3 phwnc Lefel Uwch, I gynnwys 6 mewn mathemateg lefel uwch neu 6 mewn dadansoddiadau dadansoddi. Bydd Ceisiadau a Dehongliadau Mathemateg Lefel Uwch yn cael eu hystyried fesul achos, ni fyddwn yn derbyn hyn fel safon mynediad.

Alternative qualifications

Other UK qualifications may also be accepted, often in lieu of A-levels, but subject requirements must be met. If you are offering non-UK qualifications, our qualification equivalences guide should allow you to calculate what kind of offer you are likely to receive.

Please be aware that this is a general guide, and that some programmes may have more detailed or specific entry requirements which will be reflected in your offer.

Find out about our Schools' admissions criteria, offer guarantee scheme, changes to programmes and translating your documents.

English language requirements

GCSE

Grade C or grade 4 in GCSE English Language.

IELTS (academic)

At least 6.5 overall with a minimum of 5.5 in each subskill.

TOEFL iBT

At least 90 overall with minimum scores of 17 for writing, 17 for listening, 18 for reading and 20 for speaking.

PTE Academic

At least 62 overall with a minimum of 51 in all communicative skills.

Trinity ISE II/III

II: at least two Distinctions and two Merits.
III: at least a Pass in all components.

Other accepted qualifications

Please visit our English Language requirements page for more information on our other accepted language qualifications.

Other essential requirements

GCSE English Language Grade C or 4 or an accepted English Language equivalent

Criminal convictions

You are not required to complete a DBS (Disclosure Barring Service) check or provide a Certificate of Good Conduct to study this course. If you are currently subject to any licence condition or monitoring restriction that could affect your ability to successfully complete your studies, you will be required to disclose your criminal record. Conditions include, but are not limited to:

access to computers or devices that can store images
use of internet and communication tools/devices
curfews
freedom of movement, including the ability to travel to outside of the UK or to undertake a placement/studies outside of Cardiff University
contact with people related to Cardiff University.

Tuition fees

UK and EU students (2021/22)

We are currently awaiting confirmation on tuition fees for the 2021/22 academic year. Fees for the previous year were £9,000.

Students from outside the EU (2021/22)

We are currently awaiting confirmation on tuition fees for the 2021/22 academic year.

Costs for sandwich years

During a sandwich year (e.g. year in industry, placement year or year abroad) a lower fee will apply. Full details can be found on our fees pages.

Additional costs

Accommodation

We have a range of residences to suit your needs and budget. Find out more on our accommodation pages.

Course structure

This is a five-year full-time degree with year three spent studying abroad. The course includes a carefully chosen balance of core modules and optional modules. Most modules are worth 10 or 20 credits and you need to earn 120 credits a year. The modules you choose in years two and four will inform the choices available to you later.

The modules shown are an example of the typical curriculum and will be reviewed prior to the 2021/22 academic year. The final modules will be published by September 2021.

Year one

In Year One your core modules will cover the foundation areas of Calculus, Algebra, Analysis, Computing, and Probability. You're also able to choose optional modules up to 10 credits in another subject.

Much of Year One is common to all of our degree schemes so transfer to another Mathematics degree is normally possible.

You are required to pass all first-year modules and achieve an average of at least 50% to proceed to application.

Core modules

Module title	Module code	Credits
Elementary Differential Equations	MA1001	10 credits
Geometry	MA1004	10 credits
Foundations of Mathematics I	MA1005	20 credits
Foundations of Mathematics II	MA1006	20 credits
Linear Algebra I	MA1008	10 credits
Introduction to Probability Theory	MA1500	10 credits
Computing for Mathematics	MA1701	10 credits
Fundamental skills for University and Beyond	MA1900	10 credits

Optional modules

Module title	Module code	Credits
Classical Mechanics	MA1301	10 credits
Statistical Inference	MA1501	10 credits
Finance I: Financial Markets and Corporate Financial Management	MA1801	10 credits

Year two

In Year Two your core modules continue to build foundation knowledge in the areas of Calculus, Algebra, and Analysis.You will also continue to broaden your knowledge of areas like Statistics and Operational Research.

There is a greater choice of optional modules in Year Two, currently making up 40 credits of your total for the year.

The modules you select will inform the choices available to you in Year Three.

Core modules

Module title	Module code	Credits
Complex Analysis	MA2003	10 credits
Series and Transforms	MA2004	10 credits
Real Analysis	MA2006	10 credits
Linear Algebra II	MA2008	20 credits
Multivariable and Vector Calculus	MA2010	20 credits

Optional modules

Module title	Module code	Credits
Modelling with Differential Equations	MA0232	10 credits
Operational Research	MA0261	20 credits
Introduction to Number Theory I	MA2011	10 credits
Groups	MA2013	10 credits
Vibrations and Waves	MA2303	10 credits
Foundations of Probability and Statistics	MA2500	20 credits
Numerical Analysis	MA2701	10 credits
Mathematical Investigations with Python	MA2760	10 credits
Finance II: Investment Management	MA2800	10 credits
Problem Solving	MA2900	10 credits

Year three: Sandwich year

In Year Three you have the opportunity to spend a year at a university abroad to experience the practices and culture of a different country. We have partner institutions in a number of European countries, as well as in Australia, Canada, and the USA.

The placement is organised by the School and in some cases funding is available for travel and living costs.

If you wish to take part in the study abroad you need to achieve at least a 50% average from your first year of study and you must pass at least 100 credits from Year Two.

Core modules

Module title	Module code	Credits
Study Abroad	MA9990	120 credits

Year four

In Year Four you will take a selection of advanced modules, allowing you to focus on topics of particular interest.The modules available in year four are closely aligned to the research interests of the School.

Optional modules

Module title	Module code	Credits
Fluid Dynamics	MA0332	10 credits
Time Series Analysis and Forecasting	MA0367	10 credits
Project (Half)	MA0392	10 credits
Complex Function Theory	MA3000	10 credits
Combinatorics	MA3004	10 credits
Introduction to Functional and Fourier Analysis	MA3005	20 credits
Coding Theory	MA3007	10 credits
Algebraic Topology	MA3008	10 credits
Introduction to Number Theory 2	MA3011	10 credits
Ordinary Differential Equations	MA3012	10 credits
Rings and Fields	MA3013	10 credits
Theoretical and Computational Partial Differential Equations	MA3303	20 credits
Methods of Applied Mathematics	MA3304	20 credits
Fluid Dynamics	MA3305	20 credits
Regression Analysis and Experimental Design	MA3502	20 credits
Stochastic Processes for Finance and Insurance	MA3503	20 credits
Algorithms and Heuristics	MA3602	10 credits
Optimisation	MA3603	20 credits
Game Theory	MA3604	10 credits
Stochastic OR Models	MA3606	10 credits
Mathematical Methods for Data Mining	MA3700	10 credits
Behavioural Finance	MA3800	10 credits

Year five

In Year Five 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 worth 40 credits, in which you will undertake novel research. This gives you the opportunity to develop presentation and communication skills, in addition to applying your mathematical skills to a research topic of your choice.

Core modules

Module title	Module code	Credits
MMath Project	MA4900	40 credits

Optional modules

Module title	Module code	Credits
Theoretical Fluid Dynamics	MA4003	20 credits
Measure Theory	MA4007	20 credits
Combinatorial and Analytic Number Theory	MA4011	20 credits
Finite Elasticity	MA4012	20 credits
Mathematical Foundations of Quantum Physics	MA4014	20 credits
Advanced Topics in Analysis: Sobolev Spaces and Viscosity Solutions	MA4015	20 credits
Statistics of Big Data	MA4511	20 credits
Convex Optimisation	MA4600	20 credits
Stochastic Search and Optimisation	MA4601	20 credits
Reading Module	MA4901	20 credits
Reading Module	MA4902	20 credits

develop your communication skills and ability to communicate mathematics in written and oral form
demonstrate the effective self-management and organisational skills needed to undertake a substantial mathematical project
enhance your computing, IT, information retrieval and handling skills
develop your ability to apply logical and analytic thinking to problems in other disciplines
demonstrate group working, time management and presentational skills
enhance your understanding of the academic culture of higher education in a foreign country
show a commitment to lifelong learning through engaging in a process of personal development planning

Careers and placements

Career prospects

You can use your MMath with a Year Abroad as a pathway to the workforce where you may meet our alumni working in a variety of fields such as data science, operational research, internet technology, medicine, banking, logistics, risk management, and marketing. Or, you might choose to widen your career options to include a range of related fields by completing a PhD in mathematics, the sciences, computing or engineering.

In 2017/18, 89% of the School’s graduates who were available for work reported they were in employment and/or further study within six months of graduation. Some of our previous students had gone on to work for companies including the Office of National Statistics and the Meteorological Office.

Maths Careers Support

In the Spring semester of your first year, there are a range of masterclasses available to you to help support your future career prospects. The classes cover work experience, CV and covering letters, application forms, interview techniques, and an introduction to LinkedIn.

We have a regularly-updated student jobs board featuring a range of volunteering, internship, placement, and graduate opportunities. Plus, we organise a full programme of student and employer presentations every year with employers, such as Lloyds Banking Group, HSBC, PwC, Institute and Faculty of Actuaries, Sainsburys, Network Rail, GSK, Office of National Statistics, Welsh Government, the MOD, Welsh Water, and the Met Office.

The School of Mathematics also has a Careers Management Skills Programme, presentations by students returning from industry and a range of sponsored prizes awarded for academic achievement.

Placements

The option of spending year three studying abroad extends the MMath degree to five years. We have agreements with a number of institutions across Europe, the United States, Canada and Australia. In some cases funding is available for travel and living costs.

If you decide not to do a placement abroad you can transfer to the four year MMath programme or to one of the BSc programmes. BSc programmes with a year of Professional Placement have a duration of four years and may be dependent on your academic performance.

Studying in Welsh

Up to 36% of this course is available through the medium of Welsh. Please contact the Admissions tutor for more information.

Data from Unistats is not yet available for this course.

Mathemateg gyda Blwyddyn Dramor (MMath)