The aims of the modules are - To develop further the students' abilities in mathematics, in particular calculus, linear algebra and complex numbers. To deepen the students' appreciation of the central role that mathematics plays in the development and practice of engineering. To further motivate the comprehension and use of important analytical concepts, calculus methods and linear mathematics fundamental to engineering. To help students to further develop the skill of analysing problems in a rational (rigorous, logical) and methodical manner. To further develop the students' ability to transfer their mathematical understanding (and the associated methods) to diverse engineering application areas. To develop the students's abilities in mathematical computation, realisation and visualisation using Matlab. To help students towards self-diagnosis and self-help in filling gaps in their mathematical education.