Entry requirements

Single variable calculus, Linear algebra II, Transform methods.

Learning outcomes

For a pass mark, the student must be able to

• construct mathematical models of systems based upon basic relations
• apply transform methods in order to describe and analyse systems and time series
• analyse simple nonlinear systems
• estimate and validate simple 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. Estimation of simple time series models. Model validation. Simulation and simulation software.

Instruction

Lectures, problem solving sessions, laboratory work and assignments.

Assessment

Written examination (4.5 credits) and laboratory work (0.5 credits)