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MMath Mathematics and Statistics

Durham University

Institution
Durham University
Level
undergraduate
Subject
Mathematical Sciences
Duration
4 years
UCAS code
G114
Typical offer
A-level A*A*A

Entry requirements

A level: A*A*A A*A*A (including A*A* in Mathematics and Further Mathematics) or A*AA (including A*A in Mathematics and Further Mathematics) and a suitable performance in an accepted mathematics test .or A*AA (including A* in Mathematics) and A in AS-level Further Mathematics and a suitable performance in an accepted mathematics tes t. IB: 38 with 776 in higher level subjects, including a 7 in Higher Level Mathematics (Analysis & Approaches) or 766 in higher level subjects, including a 7 in Higher Level Mathematics (Analysis & Approaches) and a suitable performance in an accepted mathematics test.

About this course

MMath (Hons) in Mathematics and Statistics, a mathematics degree combining pure and applied mathematics with a substantial statistics strand, and spanning four years at full-time study. Core topics include Programming, Data Analysis, Statistics, Mathematical Modelling, Artificial Intelligence & Machine Learning and Communication & Writing. The degree runs to Master's level, and students can apply to add a placement year or a year abroad, extending the programme from four years to five. In the final year students choose between a Project and an Internship Project. In the second year students select one compulsory module and two further optional modules; at least three optional modules are chosen in the third year, with at least two more selected in the fourth year. Year 1 establishes the foundations through Analysis, Calculus, Linear Algebra, Dynamics & Relativity, Probability, Programming, Statistics and Discrete Mathematics, covering analysis of the real and complex number systems, single- and several-variable calculus, vector methods, Newtonian dynamics and special relativity, programming in Python, and both frequentist and Bayesian statistics. Year 2 builds on these with compulsory Mathematical Methods, Statistical Inference, and Data Science and Statistical Modelling, which centres on importing, exploring, modelling and visualising real datasets in R; students then select one module from Algebra II or Computational Mathematics, plus two from Complex Analysis II, Methods of Mathematical Physics II and Probability II. Year 3 features the compulsory Group Project, in which students investigate a mathematical topic in teams and present their findings, alongside at least three optional modules chosen from Advanced Statistical Modelling, Bayesian Computation and Modelling, Decision Theory, and Machine Learning and Neural Networks, with additional options such as Analysis and Topology, Codes and Knots, Differential Geometry, Fluid Mechanics, Mathematical Biology, Mathematics into Schools, Operations Research, Partial Differential Equations and Quantum Mechanics. Year 4 opens with a choice between two compulsory modules: a Project, involving an in-depth statistical investigation or data analysis culminating in a written report and oral exam, or an Internship Project, carried out with a third party in a real-world setting. Students also select at least two optional modules, including Spatio-Temporal Statistics, Uncertainty Quantification and Clinical Trials, High-Dimensional Statistics and Deep Learning, with further options such as Advanced Mathematical Biology, Functional Analysis and Applications, Geophysical and Astrophysical Fluids, Quantum Field Theory, Representation Theory, Statistical Mechanics, Topics in Algebra and Geometry, and Topics in Combinatorics.

Modules

  • Analysis
  • Calculus
  • Linear Algebra
  • Dynamics & Relativity
  • Probability
  • Programming
  • Statistics
  • Discrete Mathematics
  • Mathematical Methods
  • Statistical Inference
  • Data Science and Statistical Modelling
  • Example optional modules
  • Group Project
  • Example optional modules
  • Choose one of the following two modules:
  • EITHER Project
  • OR Internship Project
  • Example optional modules