Groups and Group Actions - M&P, M&CS
Continuation of the course from Hilary Term.
Analysis III - Integration - M&P, M&CS
In these lectures we define the Riemann integral and study its properties; prove the Mean Value Theorem for Integrals and the Fundamental Theorem of Calculus. This gives us the tools to justify term-by-term differentiation of power series and deduce the elementary properties of the trigonometric functions.
Statistics and Data Analysis
The course introduces the concept of likelihood for a probabilistic model and its use in estimating unknown model parameters. Techniques for finding structure in datasets are relevant to many parts of applied maths, specifically this course will cover principal components analysis and clustering techniques.
This course is an introduction to mathematical algorithms; that is procedures which one can carry out to achieve a desired result. Such procedures arise throughout mathematics both Pure and Applied.