Durham University

Degree level: Undergraduate

Mathematics and Statistics (4 years)

Course options

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Course summary

The four-year MMath Mathematics and Statistics course a strong foundation in core mathematics and statistics with exciting recent developments in statistics and machine learning, providing a unique preparation for our data-driven future. A rigorous grounding in essential mathematical techniques and fundamental statistical principles and methods leads to the exploration of a wide range of topics central to modern statistics and machine learning, culminating in modules focusing on topics of current research interest and a year-long individual project module tackling a theoretical area or an applied problem in particular depth, possibly in collaboration with a company or other organisation. Year 1 The first year consists of 100 compulsory Mathematics credits: -Analysis (20) -Calculus (20) -Linear Algebra (20) -Dynamics (10) -Probability (10) -Programming (10) -Statistics (10) Together with a further 20 credits which can be chosen from: -Discrete Mathematics (20) -Any other available Sciences, Arts and Social Sciences modules (subject to pre-requisites and timetabling compatibility) The first-year Mathematics modules expand and develop topics that may be familiar from A level (or equivalent), smoothing the transition to university study. Fundamental statistical methodologies are developed from first principles in the Statistics and Probability modules, providing a mathematical language and coherent conceptual framework with which to structure subsequent developments. Other modules equip you with the essential mathematical tools needed for further study. Year 2 In the second year, you will take four compulsory modules (60 credits): -Analysis in Many Variables (20) -Statistical Inference (20) -Data Science and Statistical Computing (10) -Statistical Modelling (10) Together with a further 60 credits which can be chosen from a wide range, including: -Complex Analysis (20) -Numerical Analysis (20) -Markov Chains (10) -Mathematical Modelling (10) -Probability (10) The four compulsory modules will furnish you with the central mathematical, inferential, modelling, and computational tools needed for modern statistics and machine learning, as well as looking at important surrounding issues such as data governance. Further modules allow you to broaden or deepen your knowledge of particular topics or techniques. Year 3 In the third year, you choose from a range of modules on topics central to modern statistics and machine, including: -Advanced Statistical Modelling (20) -Bayesian Computation and Modelling (20) -Decision Theory (20) -Machine Learning and Neural Networks (20) -Mathematical Finance (20) -Stochastic Processes (20) -Any other Level 3 modules offered by the Department of Mathematics -Up to 20 credits chosen from modules offered by any other Board of Studies. -Many of these topics are linked to and informed by current research. Year 4 In the fourth year, you take a 40-credit capstone project module, tackling a theoretical area or an applied problem in particular depth. Subject to availability, this may be performed in collaboration with a company or other organisation. For the remaining 80 credits, you choose from a range of modules focusing on topics of current research interest, including: -Spatio-Temporal Statistics (20) -Deep Learning and Artificial Intelligence (10) -Discrete and Continuous Probability (10) -High-Dimensional Data Analysis (10) -Non-Parametric Statistics (10) -Object-Oriented Statistics (10) -Robust Bayesian Analysis (10) -Topics in Probability (10) -Uncertainty Quantification (10) Placement Year You may be able to take a work placement. Find out more: https://www.dur.ac.uk/study/ug/studyoptions/

Course details

Modules

Year 1 The first year consists of 100 compulsory Mathematics credits: •Analysis (20) •Calculus (20) •Linear Algebra (20) •Dynamics (10) •Probability (10) •Programming (10) •Statistics (10) Together with a further 20 credits which can be chosen from: •Discrete Mathematics (20) •Any other available Sciences, Arts and Social Sciences modules (subject to pre-requisites and timetabling compatibility). The first-year Mathematics modules expand and develop topics that may be familiar from A level (or equivalent), smoothing the transition to university study. Fundamental statistical methodologies are developed from first principles in the Statistics and Probability modules, providing a mathematical language and coherent conceptual framework with which to structure subsequent developments. Other modules equip you with the essential mathematical tools needed for further study. Year 2 In the second year, you will take four compulsory modules (60 credits): •Analysis in Many Variables (20) •Statistical Inference (20) •Data Science and Statistical Computing (10) •Statistical Modelling (10). Together with a further 60 credits which can be chosen from a wide range, including: •Complex Analysis (20) •Numerical Analysis (20) •Markov Chains (10) •Mathematical Modelling (10) •Probability (10). The four compulsory modules will furnish you with the central mathematical, inferential, modelling, and computational tools needed for modern statistics and machine learning, as well as looking at important surrounding issues such as data governance. Further modules allow you to broaden or deepen your knowledge of particular topics or techniques. Year 3 In the third year, you choose from a range of modules on topics central to modern statistics and machine, including: •Advanced Statistical Modelling (20) •Bayesian Computation and Modelling (20) •Decision Theory (20) •Machine Learning and Neural Networks (20) •Mathematical Finance (20) •Stochastic Processes (20) •Any other Level 3 modules offered by the Department of Mathematics •Up to 20 credits chosen from modules offered by any other Board of Studies. Many of these topics are linked to and informed by current research. Year 4 In the fourth year, you take a 40-credit capstone project module, tackling a theoretical area or an applied problem in particular depth. Subject to availability, this may be performed in collaboration with a company or other organisation. For the remaining 80 credits, you choose from a range of modules focusing on topics of current research interest, including: •Spatio-Temporal Statistics (20) •Deep Learning and Artificial Intelligence (10) •Discrete and Continuous Probability (10) •High-Dimensional Data Analysis (10) •Non-Parametric Statistics (10) •Object-Oriented Statistics (10) •Robust Bayesian Analysis (10) •Topics in Probability (10) •Uncertainty Quantification (10).


How to apply

Application codes

Please select a course option – you will then see the application code you need to use to apply for the course.

Points of entry

The following entry points are available for this course:

  • Year 1

Entry requirements

Qualification requirements

Contextual Offers: Our contextual offer for this programme is A level A*AB including A*A in Mathematics and Further Mathematics in any order or A*A*C including A*A* in Mathematics and Further Mathematics (or equivalent). To find out if you’re eligible, please visit: www.dur.ac.uk/study/ug/apply/contextualoffers/. Maths Tests: We strongly encourage applicants to sit the University’s Admissions Test if it is available to them, as we give a high weighting in our selection process to evidence of ability in Mathematics. TMUA: https://studyatdurham.microsoftcrmportals.com/en-US/knowledgebase/article/KA-02546 MAT: https://studyatdurham.microsoftcrmportals.com/en-US/knowledgebase/article/KA-02544 STEP: https://studyatdurham.microsoftcrmportals.com/en-US/knowledgebase/article/KA-02545

Please click the following link to find out more about qualification requirements for this course

https://www.dur.ac.uk/study/ug/apply/entry/


English language requirements

Durham University welcomes applications from all students irrespective of background. We encourage the recruitment of academically well-qualified and highly motivated students, who are non-native speakers of English, whose full potential can be realised with a limited amount of English Language training either prior to entry or through pre-sessional and/or in-sessional courses. It is the normal expectation that candidates for admission should be able to demonstrate satisfactory English proficiency before the start of a programme of study, whether via the submission of an appropriate English language qualification or by attendance on an appropriate pre-sessional course. Acceptable evidence and levels required can be viewed by following the link provided.

English language requirements

https://www.dur.ac.uk/learningandteaching.handbook/1/3/3/


Unistats information

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Fees and funding

Tuition fees

Republic of Ireland £9250 Year 1
Channel Islands £9250 Year 1
EU £24900 Year 1
England £9250 Year 1
Northern Ireland £9250 Year 1
Scotland £9250 Year 1
Wales £9250 Year 1
International £24900 Year 1

Additional fee information

No additional fees or cost information has been supplied for this course, please contact the provider directly.
Mathematics and Statistics (4 years) at Durham University - UCAS