This module will extend your core mathematical knowledge and techniques. The material covered is relevant to a very wide range of real life applications and is important in many other units studied at Stages Two and Three. Linear Algebra is further developed to applications other than real vector spaces giving you some experience of Pure Mathematics which all mathematicians should have. Whilst being perceived as abstract mathematics, Linear Algebra has many practical applications such as Electrical Networks, Economic Models, Game Theory, Population Models and Tomography. It has applications in other modules including Numerical and Analytical Methods, Communication Networks and Computer Graphics.
Probability formalises the mathematics of probability distributions and expectation.
Once again there are numerous applications of this through Mathematical and Statistical Modelling. As they say, nothing in life is certain. Analytical Methods extends the differentiation and integration techniques of Stage One into multidimensions. In addition, Laplace Transforms techniques are used to solve a class of ordinary differential equations. These can be used to model many real life problems, for example, population dynamics, pollutant transport and vehicular motion.