Aims and Fit of Module

The aims of this module are:

To give students advanced mathematical tools common to engineering applications.

To demonstrate the physical origin of applied mathematics.

To understand the basic concepts in vector analysis, complex functions and Laplace transforms

To be familiar with the equations of importance to engineering and science and their properties.

To train the students' ability to think logically and independently and to acquire the skills of problem solving.

Learning outcomes

A. define complex functions and their integrals.

B. define Laplace transforms.

C. state series solutions of ODEs.

D. be able to solve problem by establishing appropriate mathematical models using the most relevant techniques.

E. have an appreciation of the importance of mathematics to engineering and science.

Method of teaching and learning

The teaching philosophy of the module follows very much the philosophy of Syntegrative Education. This has meant that the teaching delivery pattern, which follows more intensive block teaching, allows more meaningful contribution from industry partners. This philosophy is carried through also in terms of assessment, with reduction on the use of exams and increase in coursework, especially problem-based assessments that are project focused. The delivery pattern provides space in the semester for students to concentrate on completing the assessments.

This module will be delivered by a combination of formal lectures, problem classes, case studies and revision seminars.