|Delivery Type||Delivery length / details|
|Lecture||22 Hours. (22 x 1 hour lectures)|
|Seminars / Tutorials||5 Hours. (5 x 1 hour tutorials)|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours (written examination)||80%|
|Semester Assessment||Mark based on attendance at lectures and tutorials and work handed in||20%|
|Supplementary Exam||2 Hours (written examination)||100%|
On completion of this module, a student should be able to:
- solve elementary examples of first-order and linear second-order differential equations with given initial or boundary conditions ;
- construct simple mathematical models.
Mathematics is perhaps the most efficient and successful way of describing the real world. The purpose of this module is to introduce students to the notion of mathematical modelling and to develop the technical skills for the solution of the mathematical problems that arise in applications. The syllabus will include techniques of integration, first-order and linear second-order differential equations. Examples will be taken from biology, economics and physics.
To develop technical skills and a facility for using calculus in applications.
2. MATHEMATICAL MODELLING: The use of mathematical models to describe and understand the real world. Differentiation and rates of change. Formulation of differential equations to describe time-dependent phenomena, including:
- elementary dynamics using Newton's laws of motion;
- population dynamics;
- flow of charge around simple electric circuits.
Reading ListGeneral Text
Salas, Hille and Ergen (2003) Calculus 9th ed Wiley Primo search Recommended Text
A Jeffrey, (1992) Essentials of Engineering Mathematics Chapman and Hall Primo search W E Boyce & R C De Prima (2001) Elementary Differential Equations 7th Wiley Primo search Supplementary Text
Weir, M D, Haas, J and Giordano, F R (2005) Thomas' Calculus 11/e Addison-Wesley Primo search
This module is at CQFW Level 4