Mathematics and Statistics, MMath (Hons)

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 1The 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 2In 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 3In 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 4In 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 YearYou may be able to take a work placement. Find out more: https://www.dur.ac.uk/study/ug/studyoptions/