The aim of this module is to give students and understanding of, and practice in, mathematical concepts and techniques that are important to both other modules in the programme and also to real world automation and robotics engineering.
It is a module on mathematical methods and techniques employed in the solution of problems in Engineering. The course deals with the purpose, methods and applications of differentiation, integration, matrices, differential equations and probability theory.
Differentiate single variable functions requiring a combination of rules.
Determine the partial derivatives of functions of two variables.
Apply differentiation to solve rates of change and optimisation problems.
Select and apply appropriate techniques of integration to evaluate integrals.
Solve first order differential equations by direct integration and separation of variables.
Analyse the behaviour of systems and processes in engineering to recognise when differential equations are appropriate, formulate the problem, creatively model these behaviours in order to solve the problems, interpret and clearly communicate the results.
Apply the rules of probability and use probability models for data analysis.