# Engineering Mathematics, Signals & Systems - ELE00031I

« Back to module search

• Department: Electronic Engineering
• Module co-ordinator: Dr. John Szymanski
• Credit value: 20 credits
• Credit level: I
• Academic year of delivery: 2017-18

## Module will run

Occurrence Teaching cycle
A Autumn Term 2017-18 to Summer Term 2017-18

## Module aims

Subject content aims:

• To introduce the techniques of multivariable calculus (including partial differentiation, co­ordinate transformations and multiple integrals)
• To support applied modules in areas such as networks, electromagnetic fields and control theory
• To provide an introduction to the Laplace transform and the z­transform as tools for linear systems theory and analysis
• To develop an awareness and understanding of the use of Fourier Transform, Fourier Series, Convolution and Correlation techniques to the study of signals and linear systems

• To develop skills in the application of applied numeracy and algebraic techniques

## Module learning outcomes

Subject content learning outcomes

After successful completion of this module, students will:

• Understand the use of calculus for two­ and three­ dimensional problems
• Understand the limitations of the Laplace transform in the context of engineering problems
• Understand the implications of sampling signals and the basic theory of the z­transform
• Be able to demonstrate an understanding of Fourier Series and Fourier Transform techniques
• Be able to demonstrate an understanding of Convolution and Correlation techniques
• Be able to explain and use the theorems associated with Fourier Transform techniques
• Be able to describe the use of Correlation and Convolution techniques to analyse linear time invariant systems
• Be able to evaluate total derivatives and multiple integrals in two or more variables
• Be able to change variables and transform the way in which a multi­dimensional problem is viewed
• Be able to use the Laplace transform in the analysis and characterisation of linear, time­invariant systems
• Be able to compare and contrast the Laplace & Fourier transforms in an engineering context
• Be able to apply Fourier Transform techniques to describe the characteristics of signals

After successful completion of this module, students will:

• Be able to explain commonly­encountered technical concepts concisely and accurately
• Be able to select and apply a range of mathematical techniques to solve problems
• Have developed skills in problem solving, critical analysis and applied mathematics

## Assessment

Task Length % of module mark
University - closed examination
Engineering Mathematics, Signals & Systems
2.5 hours 100

None

### Reassessment

Task Length % of module mark
University - closed examination
Engineering Mathematics, Signals & Systems
2.5 hours 100

## Module feedback

Feedback on the examination performance will be provided within six weeks. Formative feedback is provided in workshops.