# Module ICE-2211:Math Methods & Linear Syst

### Module Facts

Run by School of Computer Science and Electronic Engineering

20 Credits or 10 ECTS Credits

Semester 1 & 2

### Overall aims and purpose

To teach the principles of transform methods and their applications in engineering, with a particular focus on signals and systems. We will examine the common features and important differences between the Fourier series, Fourier transform, z-transform and Laplace transform. The fundamental concept of the response of a linear system will be used to unify the different concepts. Applications may include linear networks, electromechanical systems, communications systems, signal processing and automatic control.

### Course content

Indicative content includes:

Continuous- and discrete-time signals and systems

Fourier series and transform

z-transform

Laplace transform

Second order systems

Graphical methods for differential equations

### Assessment Criteria

#### threshold

Equivalent to 40%. Uses key areas of theory or knowledge to meet the Learning Outcomes of the module. Is able to formulate an appropriate solution to accurately solve tasks and questions. Can identify individual aspects, but lacks an awareness of links between them and the wider contexts. Outputs can be understood, but lack structure and/or coherence.

#### excellent

Equivalent to the range 70%+. Assemble critically evaluated, relevent areas of knowledge and theory to constuct professional-level solutions to tasks and questions presented. Is able to cross-link themes and aspects to draw considered conclusions. Presents outputs in a cohesive, accurate, and efficient manner.

#### good

Equivalent to the range 60%-69%. Is able to analyse a task or problem to decide which aspects of theory and knowledge to apply. Solutions are of a workable quality, demonstrating understanding of underlying principles. Major themes can be linked appropriately but may not be able to extend this to individual aspects. Outputs are readily understood, with an appropriate structure but may lack sophistication.

### Learning outcomes

1. Apply continuous-time transform methods to problems related to signals and systems

2. Apply discrete-time transform methods to problems in signals and systems

3. Understand and apply the concepts of linear systems, including graphical methods

### Assessment Methods

Type Name Description Weight
Fourier assignment 20
Assignment in z-domain analysis 20
Examination 60

### Teaching and Learning Strategy

Hours
Lecture

The material will be taught through a mixture of 1-hour lectures and 1-hour problem classes, delivered across the two semesters. Two timetabled slots per week over 24 weeks, repeating on a bi-weekly pattern: (2 lectures in one week, 1 lecture and 1 problem class in the other week).

36
Private study

Private study, including preparation for examinations and writing assignments

152
Practical classes and workshops

Lectures will be supported by bi-weekly problem classes.

12

### Transferable skills

• Numeracy - Proficiency in using numbers at appropriate levels of accuracy
• Self-Management - Able to work unsupervised in an efficient, punctual and structured manner. To examine the outcomes of tasks and events, and judge levels of quality and importance
• Exploring - Able to investigate, research and consider alternatives

### Subject specific skills

• Apply underpinning concepts and ideas of engineering;
• Solve problems logically and systematically;
• Knowledge and understanding of facts, concepts, principles & theories
• Use of such knowledge in modelling and design
• Evaluate systems in terms of quality and trade-offs