Course image 23-24 MT1100: Introduction to Geometry
Mathematics
How has mathematics been used to describe space over the last 2500 years?
Course image 23-24 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 23-24 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 23-24 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 23-24 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 23-24 MT1810: Introduction to Pure Mathematics
Mathematics
This course introduces the fundamental algebraic structures used in mathematics, with proofs and examples.
Course image 23-24 MT1940: Real Analysis I
Mathematics
Real analysis studies the behaviour of the real numbers and real-valued functions. It provides the foundations of calculus, and is essential to both pure and applied mathematics. This module provides a user-friendly introduction to key ideas of real analysis, illustrated with copious examples. It examines topics such as the properties and axioms of the real numbers, and convergence of infinite sequences and infinite series.
Course image 23-24 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 23-24 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 23-24 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 23-24 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 23-24 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 23-24 MT3000/MT3300/MT4000: Mathematics Project
Mathematics
Materials for MT3000/MT3300/MT4000: Mathematics Project
Course image 23-24 MT3090: Mathematics In The Classroom
Mathematics
A brief reminder of what was covered in each seminar is listed for your convenience, along with anything useful that pops up along the way.
Much the best way for quick-response help is to email me at stephen.north@rhul.ac.uk
Much the best way for quick-response help is to email me at stephen.north@rhul.ac.uk
Course image 23-24 MT3260/MT4260: Quantum Theory I
Mathematics
The world at the microspcopic level requires quantum theory to explain it. The consequences of the theory remain a puzzle to this day. We will describe the central equation in the theory, the Schrödinger equation, and show how it can be solved for several important cases.
Course image 23-24 MT3280/MT4280: Non-Linear Dynamical Systems: Routes to Chaos
Mathematics
In this course, you'll study the behaviour of mathematical systems known as dynamical systems. These can be used to analyse the mechanism of spread of a disease, the stability of the universe or even the exciting world of the evolution of an economic system. You will be shown some of the secrets of the nonlinear world and the appearance of chaos. You will be introduced to significant developments achieved just in the last quarter of the 20th century in this subject area.
Course image 23-24 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 23-24 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 23-24 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 23-24 MT3540: Combinatorics
Mathematics
This is a course on combinatorics. We will cover enumeration problems, generating functions, Ramsey theory, and probabilistic methods.