Foundation degrees

# Mathematics for Engineering Systems

## Module summary

Module code: MATH1117
Level: 5
Credits: 15
School: Engineering and Science
Department: Engineering Science
Module Coordinator(s): Erwin George

## Specification

None

### Aims

This course aims to strengthen and extend students’ mathematical skills, to enable students to appreciate the use of mathematics as an engineering tool and to build up a students’ level of competence in applying mathematical methods to solve engineering problems.

### Learning outcomes

On successful completion of this course a student will be able to:
1 Demonstrate an understanding of relevant mathematical concepts;
2 Carry out relevant mathematical calculations by hand and with the use of software tools;
3 Apply mathematical and numerical techniques to the solution of engineering problems.

### Indicative content

• Revision of basic mathematical manipulation
• Functions and graphs relevant to engineering – including exponential, hyperbolic and trigonometric functions
• Complex numbers – their representation, manipulation and use in engineering
• Review of differentiation, ordinary and partial and the solution of extreme value problems
• Solution of 1st order differential equations by separation of variables and integrating factors
• Solution of 2nd order differential equations with constant coefficients with appropriate particular integrals
• Laplace Transforms and their uses in engineering
• Introduction to determinants, vectors and matrices and the use of MATLAB
• The use of Vector algebra and Vector calculus in engineering

### Teaching and learning activity

Concepts and methods will be introduced and demonstrated in lectures. Students will build up their understanding and competence by applying the methods they have been taught in tutorials. Students will be assessed at regular intervals to ensure steady build up of competences. Diagnostic tests will be used in the first week and at regular intervals to ascertain the needs of individual students. Additional tutorials will be provided as appropriate to cover the specific topic areas identified.

### Assessment

Coursework - 30%
LO - 1-3

Examination - 70%
LO - 1-3

In order to meet professional body requirements, students are expected to pass this course at 40% overall and with a minimum of 30% for each component.

All elements of summative assessment must be passed to pass the course.