Entry requirements

60 credits science/engineering including Single Variable Calculus. Participation in courses Linear Algebra II and Transform Methods.

Learning outcomes

On completion of the course, the student should be able to:

• construct mathematical models of systems based upon basic relations
• apply transform methods in order to describe and analyse linear dynamic systems
• analyse simple nonlinear systems
• describe how parametric and nonparametric methods can be used to estimate models

Content

Applications of models in engineering. A survey of models in physics/mechanics/electronics/biology/economy. Model types. Model reduction. Difference and differential equations, transfer functions. The concepts poles, zeros, frequency function, stability and causality. State space models. Introduction to nonlinear systems. Linearisation and stationary solutions. Disturbances and disturbance models. Modelling of dynamic systems using parametric and nonparametric methods.

Instruction

Lectures, problem solving sessions, laboratory work and assignments.

Assessment

Written examination (4 credits), assignment (0.5 credits) and laboratory work (0.5 credits).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.