|Module Title||THE PRINCIPLES OF APPLIED MATHEMATICS|
|Co-ordinator||Professor T N Phillips|
|Other staff||Dr R S Jones|
|Course delivery||Lecture||19 x 1hour lectures|
|Seminars / Tutorials||3 x 1hour example classes|
|Assessment||Exam||2 Hours (written examination)||100%|
|Resit assessment||2 Hours (written examination)||100%|
Applied Mathematics has traditionally involved the study of mathematical models which represent the behaviour and interaction of material objects such as particles, solid objects and fluids in the real world. The main theme of this module is the application of Newton's laws of motion to the motion of particles under various types of forces. This module is self-contained and requires no previous knowledge of mechanics.
To provide an introduction to basic concepts in traditional applied mathematics. To provide an understanding of Newtonian mechanics.
On completion of this module, a student should be able to:
1. BASIC CONCEPTS: Mathematical Models. Particles, Mass, Rigid Bodies, Length, Time. Units, dimensions.
2. KINEMATICS: Position vector, velocity and acceleration in Cartesian coordinates. Uniform acceleration in a straight line. Simple harmonic motion. Angular velocity. Acceleration of a particle moving in a circle.
3. NEWTONIAN MECHANICS: Momentum, force, laws of motion.
4. PHYSICAL LAWS: Gravitation. Hooke's Law. Friction.
5. PROJECTILE MOTION: One and two dimensional motion of a particle under gravity.
6. WORK, POWER AND ENERGY: Principles of work, conservative forces, conservation of energy.
7. IMPULSE AND IMPACT: Conservation of linear momentum. Inelastic impacts. Impulsive tensions in strings. Impact of elastic bodies.
** Recommended Text
D Williams. Elements of Mechanics. Oxford
** Supplementary Text
M Lunn. A First Course in Mechanics. Oxford
F Chorlton. Textbook of Dynamics. 2nd edition. Ellis Horwood
D Humphrey. Intermediate Mechanics. Longmans