# Modiwl IEA-2004:Eng Analysis: Linear Systems

### Ffeithiau’r Modiwl

Rhedir gan School of Computer Science and Electronic Engineering

10 Credyd neu 5 Credyd ECTS

Semester 2

Trefnydd: Dr Iestyn Pierce

### Amcanion cyffredinol

To teach the principles of the Laplace Transform and its application in the study of differential equations and linear systems. Particular attention will be given to forced second order systems, resonance and applications in network analysis. Graphical methods for qualitative examination of ODEs will be introduced.

### Cynnwys cwrs

• Second order ODEs, forced systems, graphical methods for visualizing solutions, phase portraits. • Resonance in electrical and mechanical systems, general form for a second order system. • Definition of the Laplace transforms. Basic signals, shift theorems, convolution. • Ordinary Differential Equations, Transfer functions, Complex Impedance. • Applications of the Laplace transform in control systems and network synthesis • Cauer Ladders, Active Filters. • Relationship with the Fourier transform, Steady State Sinusoidal response

### Cyswllt Canlyniad dysgu i Meini Prawf

threshold

40%

good

60%

excellent

70%

Understand the principles and properties of forced second order systems and methods for their graphical solution.

Can state definitions and basic properties of 2nd order systems. Can describe what is meant by damping factor/Q-factor and natural frequency. Can use standard solution techniques. Can discuss graphical methods at a reasonable level. Demonstrates thorough knowledge of second order systems in general, including graphical methods.

Understand the Laplace transform and its engineering applications.

Know the formula for the Laplace transform. Can state basic results. Apply the Laplace transform to solution of ODEs. Knows and can apply all the standard results. A comprehensive knowledge of Laplace transform methods. Evaluates results and derivations sensibly.

### Dulliau asesu

Examination 80
Application of graphical methods 20

Oriau
Lecture

2 x 1 hour Lectures per week for 12 weeks (4 x 1 hour tutorials delivered over 12 weeks during lecture slots).

24
Private study

Worked examples, attempting tutorial questions, completing past exam papers, revision.

76

• Llythrennedd - Medrusrwydd mewn darllen ac ysgrifennu drwy amrywiaeth o gyfryngau
• Rhifedd - Medrusrwydd wrth ddefnyddio rhifau ar lefelau priodol o gywirdeb
• Hunanreolaeth - Gallu gweithio mewn ffordd effeithlon, prydlon a threfnus. Gallu edrych ar ganlyniadau tasgau a digwyddiadau, a barnu lefelau o ansawdd a phwysigrwydd
• Archwilio - Gallu ymchwilio ac ystyried dewisiadau eraill
• Cyflwyniad - Gallu cyflwyno gwybodaeth ac esboniadau yn glir i gynulleidfa. Trwy gyfryngau ysgrifenedig neu ar lafar yn glir a hyderus.

### Sgiliau pwnc penodol

• Apply underpinning concepts and ideas of engineering;
• Solve problems logically and systematically;