Course image 22-23 MT1100: Introduction to Geometry
Mathematics
How has mathematics been used to describe space over the last 2500 years?
Course image 22-23 MT1210: Introduction To Applied Mathematics
Mathematics
This module provides an introduction to some key ideas and methods of classical mechanics and other topics in applied mathematics.
On completion of the module, you should be able to demonstrate an understanding of Newton’s equations of motion for a single particle, and use the conservation laws for energy and momentum.
Course image 22-23 MT1300: Statistical Methods I
Mathematics
This course is an introduction to the basics of probability and statistics. The overall aim of the course is to give an understanding of random variables and their distributions and basic ideas of statistical inference.
Course image 22-23 MT1710: Calculus I
Mathematics
This course revises and then extends the Calculus work covered at A-Level. It assumes that only the single subject A-Level Mathematics course has been taken. It also recognises that some of you will have Further Mathematics at either A- or AS-Level and will provide something to make you think too!
Course image 22-23 MT1720: Calculus II
Mathematics
This module is a follow-up module for MT1710, Calculus I. Amongst the topics we study are power series, representations of curves and methods to determine their geometric properties, functions of several variables, partial derivatives, and multi-variate integration.
Course image 22-23 MT1810: Introduction to Pure Mathematics
Mathematics
This course introduces the fundamental algebraic structures used in mathematics, with proofs and examples.
Course image 22-23 MT1820: Linear Algebra I
Mathematics
This course is on vectors and matrices, the fundamental objects of algebra.
Course image 22-23 MT2220: Vector Calculus
Mathematics
This course extends and develops the calculus methods studied in MT171 and MT172. We introduce vector fields and vector calculus, solve separable partial differential equations and use these methods to study fluid dynamics.
Course image 22-23 MT2300: Statistical Methods II
Mathematics
In this course we study important aspects of statistical modelling in an integrated way and develop some expertise both in the theory and applications of linear statistical models, using the statistical computer environment R.
Course image 22-23 MT2720: Ordinary Differential Equations & Fourier Analysis
Mathematics
This course introduces the concepts of eigenvalues and eigenfunctions via the trigonometric equation, using these to generate Fourier series and Fourier transforms. Before generalising to Sturm-Liouville systems, techniques are developed for solving certain types of ordinary differential equations, where the coefficients are no longer constants.
Course image 22-23 MT2800: Linear Algebra II
Mathematics
By the end of the course the student will understand linear transformations and their matrix representations, as well as associated concepts such as change of bases, and the rank and nullity of a linear map and the connection between them. The student will also be able to demonstrate an understanding of a variety of methods and topics in linear algebra such as diagonalisation, orthonormal bases, and the Gram-Schmidt orthogonalisation procedure.
Course image 22-23 MT2900: Complex Analysis
Mathematics
This module provides an outline of basic complex variable theory with some proofs. Applications are exhibited as used in other areas of mathematics. The module will equip students with the ability to use complex analysis to solve specific problems.
Course image 22-23 MT3000/MT3300/MT4000: Mathematics Project
Mathematics
Materials for MT3000/MT3300/MT4000: Mathematics Project
Course image 22-23 MT3090: Mathematics In The Classroom
Mathematics
This course does not use Moodle for in-term teaching. However, important messages relevant to the running of this course will be posted here.
Course image 22-23 MT3110: Number Theory
Mathematics
This course introduces various concepts in number theory. For more information, please see the "welcome video" and the course notes.
Course image 22-23 MT3270/MT4270: Applications of Vector Calculus
Mathematics
This Module is a follow-up on MT2220, vector calculus. The concepts and methods covered in MT2220 will be applied to a variety of physical problems to do with gravitation, electricity, magnetism, and electromagnetism. Some new methods will be introduced to solve certain complicated integrals, by exploiting symmetries and through the use of Gauss's Law and Ampère's Law.
Course image 22-23 MT3360/MT4360: Markov Chains and Applications
Mathematics
This course is concerned with modelling random processes that vary over time focussing on Markov Chains, and on other areas of probability and statistics in which the use of Markov chains feature.
Course image 22-23 MT3470/MT4570: Financial Mathematics I
Mathematics
An introduction to Financial Mathematics with a focus on quantitative finance. Topics include basic financial derivatives (forwards, options), the random behaviour of the stock market (e.g. the binomial model), Markowitz portfolio optimisation, the Capital Asset Pricing Model, and the Black-Scholes formula for the pricing of options.
Course image 22-23 MT3480/MT4480: Financial Mathematics II
Mathematics
The module continues the study of financial mathematics begun in MT3470/MT4570 Financial Mathematics I. This course aims to develop an understanding of the role of mathematics in securities markets. In particular, the course concerns mathematical modelling of the behaviour of interest rates, financial returns and volatility.
Course image 22-23 MT3620/MT4620 : Cryptography I
Mathematics
We will study symmetric and public key ciphers from Julius Caeser to the present day.