The component will discuss a range of methods used in Operational Research for assisting with the analysis of problems from a wide range of real life settings....

The component will discuss a range of methods used in Operational Research for assisting with the analysis of problems from a wide range of real life settings. Many of the examples given will concern the application of Operational Research to clinically related problems, although examples will also be given related to other areas such as transport and manufacturing industry. The component will introduce mathematical modelling methods frequently used in Operational Research, including linear programming, integer programming, stochastic analysis, queuing theory and compartmental modelling. Students will also be introduced to the practical problem solving methodology of Operational Research and the processes involved in developing a mathematical modelling structure.

DISCRETE-TIME FINANCE MARKETS ON FINITE PROBABILITY SPACE| STOCHASTIC CALCULUS|PORTFOLIO OPTIMIZAT

This is a 30-hour introductory course on stochastic calculus for continuous semimartingales with applications to continuous-time finance. Some fundamental...

This is a 30-hour introductory course on stochastic calculus for continuous semimartingales with applications to continuous-time finance. Some fundamental concepts of mathematical finance will first be treated in discrete time and on a finite probability space, to avoid subtle issues typical of the general setting.

POPULATION MODELS FOR A SINGLE SPECIES|SIMPLE AGE-STRUCTURED MODELS|BASIC PHASE PLANE AND LINEARS

Mathematical models are used extensively in many areas of the Biological Sciences. This course aims to give a sample of the construction and mathematical...

Mathematical models are used extensively in many areas of the Biological Sciences. This course aims to give a sample of the construction and mathematical analysis of such models in Population Ecology. The fundamental question to be addressed is: what natural (or human) factors control the abundance and distribution of the various populations of animals and plants that we see in Nature? No special knowledge of Ecology is required or assumed. However, an interest in, and willingness to learn about, concepts and problems in this area are essential. Mathematical techniques used include calculus, mathematical methods and linear algebra, and those developed include the important qualitative technique of phase plane analysis which the course uses extensively. The course is independent of MATH0082 (previously MATHM505).