Study Mathematics because it is fascinating, challenging and elegant and because it provides the skills in demand for a wide range of careers.
The BSc in Mathematics is a very flexible degree scheme. According to how your interests and aptitudes develop, you may specialise in progressively more depth or you may choose a broad range of modules from the major branches of mathematics. The course has an essential core of Pure Mathematics linked with a wide range of modules from Applied Mathematics, Statistics and Computing and you will study a range of these branches in your first year.
The modules you choose in Years One and Two 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.
|Entry point||September 2016|
|Studying in Welsh||This course offers elements that are taught through the medium of Welsh. Please contact the Admissions tutor for more information.|
|Accreditations||Institute of Mathematics and its Applications (IMA)|
|Typical places available||The School typically has 172 places available.|
|Typical applications received||The School typically receives around 700 applications.|
|Typical A level offer||AAB including an A in Maths or A*BB/A*AC including an A in Maths|
|Typical Welsh Baccalaureate offer||WBQ core will be accepted in lieu of one A-level (at the grades specified above), excluding Mathematics.|
|Typical International Baccalaureate offer||34 points including at least 6 in Maths Higher Level|
|Other qualifications||We 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
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.
Mathematics BSc is our most general degree programme and provides you with a firm foundation in all the main areas of mathematics, providing skills much in demand for a wide range of careers. It is a very flexible degree programme so you can specialise in the areas of mathematics that are of particular interest to you - pure mathematics, applied mathematics, operational research, statistics and computing. There is an essential core of pure mathematics in the first two years of study but you can start to tailor your degree to your interests even in Year One.
In the first year, you can choose to study only mathematics modules or you may choose a 10 credit module from another discipline.
|Module title||Module code||Credits|
|Elementary Differential Equations||MA1001||10 credits|
|Foundations of Mathematics I||MA1005||20 credits|
|Vectors and Matrices||MA1007||10 credits|
|Introduction to Probability Theory||MA1500||10 credits|
|Foundations of Mathematics II||MA1006||20 credits|
|Computing for Mathematics||MA1003||20 credits|
There are more optional mathematics modules in Year Two, currently 60 credits of optional modules are studied.
|Module title||Module code||Credits|
|Elementary Number Theory II||MA0216||10 credits|
|Modelling with Differential Equations||MA0232||10 credits|
|Elementary Fluid Dynamics||MA0235||10 credits|
|Operational Research||MA0261||20 credits|
|Visual Basic Programming For OR||MA0276||10 credits|
|Mechanics II||MA2300||10 credits|
|Vector Calculus||MA2301||10 credits|
|Numerical Analysis II||MA2700||10 credits|
|Ordinary Differential Equations||MA2005||10 credits|
|Foundations of Probability and Statistics||MA2500||20 credits|
|Programming and Statistics||MA2501||10 credits|
|Introduction to the Theory of Computation||CM2207||10 credits|
In Year Three, there are no core modules. Instead you choose 120 credits that are of most interest to you. You may select a 10 or 20 credit project in place of some traditional taught modules.
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 will be based on 30% from your Year Two studies and 70% from Year Three.
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.
Please see the Key Information Sets for our latest employability statistics.
Employers of our students include the financial services sector, and organisations such as the Office of National Statistics and the Meteorological Office.
- Finance Manager
- Risk Analysit
The School of Mathematics admits around 180 students every year to its undergraduate degree programmes.
The School of Mathematics typically receives 700 applications
QAA subject benchmark
|QAA subject benchmark|
Mathematics, Statistics and Operational Research
What are the aims of this Programme?
The BSc Mathematics aims to:
- Provide a flexible structure that facilitates a broad and balanced education in the most important areas of mathematics
- Produce graduates with the intellectual and employability skills appropriate both for further study and for a range of 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 study some applications of mathematics, and to develop problem-solving skills using mathematical and statistical models
According to how your interests and aptitudes develop, you may specialise in progressively more depth or you may choose a broad range of modules from the major branches of mathematics. The course has an essential core of Pure mathematics linked with a wide range of modules from Applied Mathematics, Statistics and Operational Research.
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 60 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 no core modules in Year 3, allowing students to focus on topics of particular interest. A project may replace 10 or 20 credits of traditional taught modules in Year 3, providing the opportunity to develop communication and presentational skills, and to learn how to apply your mathematical skills to an investigation of your choice.
Will I need any specific equipment to study this Programme?
No specific equipment required.
What skills will I practise and develop?
Students will develop a range of discipline-specific and generic skills throughout the programme of study. These will include:
- The ability to communicate mathematics in written and oral form
- Group working, time management and presentational skills
- Computing, IT, information retrieval and handling skills
- The ability to apply logical and analytic thinking to problems in other disciplines
- Learning skills including independent learning
How will I be taught?
The teaching on the programme is predominantly lecture-based. In all years lectures are supported by examples classes (laboratory classes where appropriate). These are typically lecturer-led where additional problems are discussed, oral feedback given and model solutions made available for further reflection. 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.
How will I be assessed?
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 Years Two and Three the balance varies according to the nature of the module. The summative assessment for students who undertake a research project in Year Three 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 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
Further information on modules, teaching methods and research activities can be found on the School of Mathematics website.
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.
Get information and advice about making an application, find out when the key dates are and learn more about our admissions criteria.How to apply