The aims of this module are to:_x000D_
To give students advanced mathematical tools common to engineering applications. _x000D_
To demonstrate the physical origin of applied mathematics._x000D_
To understand the basic concepts in vector analysis, complex functions and Laplace transforms_x000D_
To be familiar with the equations of importance to engineering and science and their properties._x000D_
To train the students' ability to think logically and independently and to acquire the skills of problem solving.
To give students advanced mathematical tools common to engineering applications. _x000D_
To demonstrate the physical origin of applied mathematics._x000D_
To understand the basic concepts in vector analysis, complex functions and Laplace transforms_x000D_
To be familiar with the equations of importance to engineering and science and their properties._x000D_
To train the students' ability to think logically and independently and to acquire the skills of problem solving.
学分: 2
The module aims to equip students with an understanding of the analytical techniques available to solve first and second order ordinary differential equations, systems of first order linear differential equations, and second order partial differential equations that are commonly used and appear in engineering problems.
学分: 2
The aims of this module are to: _x000D_
To give students advanced mathematical tools common to engineering applications. _x000D_
To demonstrate the physical origin of applied mathematics. _x000D_
To understand the basic concepts and results in field therory . _x000D_
To be familiar with the partial differential equations of importance to engineering and science and their properties. _x000D_
To train the students' ability to think logically and independently and to acquire the skills of problem solving.
To give students advanced mathematical tools common to engineering applications. _x000D_
To demonstrate the physical origin of applied mathematics. _x000D_
To understand the basic concepts and results in field therory . _x000D_
To be familiar with the partial differential equations of importance to engineering and science and their properties. _x000D_
To train the students' ability to think logically and independently and to acquire the skills of problem solving.
学分: 2
To provide an understanding of the various vector integrals, the operators div, grad and curl and the relations between them. _x000D_
To give an appreciation of the many applications of vector calculus to physical situations. _x000D_
To provide an introduction to the subjects of fluid mechanics and electromagnetism._x000D_
To give an appreciation of the many applications of vector calculus to physical situations. _x000D_
To provide an introduction to the subjects of fluid mechanics and electromagnetism._x000D_
学分: 2
Solving systems of linear autonomous differential equations. _x000D_
Based on this material an accessible introduction to the ideas of mathematical control theory is given. _x000D_
The emphasis here will be on the stability and stabilization of feedback. _x000D_
Phase plane techniques will be introduced.
Based on this material an accessible introduction to the ideas of mathematical control theory is given. _x000D_
The emphasis here will be on the stability and stabilization of feedback. _x000D_
Phase plane techniques will be introduced.
学分: 2
To introduce the fundamental principles of fluid mechanics and to lay a solid foundation for subsequent work involving mechanical and mechatronic engineering.
学分: 2
To provide a theoretical basis for the understanding of population ecology. _x000D_
To develop mathematical models to simulate and predict the behaviour of biological ecosystems involving _x000D_
(i) a single species, (ii) several interacting species_x000D_
To develop mathematical models to simulate and predict the behaviour of biological ecosystems involving _x000D_
(i) a single species, (ii) several interacting species_x000D_
学分: 2
To provide an introduction to the main topics of Numerical Analysis with the central theme on the solution of linear algebraic equations and partial differential equations.
学分: 2
To introduce and illustrate the main ideas of topology by primarily building on material seen in MTH224 Metric Spaces as well as enhancing students’ understanding of mathematics seen elsewhere (such as real and complex analysis, abstract algebra etc.) and providing a foundation to study further in the areas of geometry and topology.
学分: 2