This course investigates mathematical solution methods applied to problems encountered in various engineering applications. These applications include electrical circuits, fluid mechanics, heat and mass transfer, chemical kinetics, production systems optimization and stress analysis. The mathematical techniques studied include solving linear systems of simple-algebraic or differential equations using vector-matrix operations, and the application of eigenvectors, eigenvalues and singular values to engineering problems. Familiarity with computer programming is recommended. Students will be familiarized with the use of the Matlab® software and programming language.
- Lecturer: Paul Campbell
Many engineering systems involve scalar and vector quantities which vary in time and space. While fundamental principles of physical sciences governs the behaviour of such systems and their quantities, the engineer is often required to model, predict, or analyse how such systems behave from a qualitative perspective. These behaviours may be modelled mathematically through a variety of vector operations and ordinary or partial differential equations. The engineering students
must therefore obtain competence in solving and interpreting the results of these
equations. The aim of this module is to introduce the students to the various
standard techniques used for solving such systems. Various
engineering problems will be used as illustrated examples.
- Lecturer: Paul Campbell