Module Identifier MA24510  
Academic Year 2001/2002  
Co-ordinator Professor T Phillips  
Semester Semester 1  
Other staff Dr R Jones  
Pre-Requisite MA11210  
Mutually Exclusive MX34510  
Course delivery Lecture   19 x 1 hour lectures  
  Seminars / Tutorials   3 x 1 hour example classes  
Assessment Exam   2 Hours (written examination)   100%  
  Resit assessment   2 Hours (written examination)   100%  

General description

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.

Learning outcomes

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.

Reading Lists

** Recommended Text
D Williams. (1997) Elements of Mechanics. Oxford 0198518811
** Supplementary Text
M Lunn. (1991) A First Course in Mechanics. Oxford 0198534337
F Chorlton. (1983) Textbook of Dynamics. 2nd. Ellis Horwood 085312390X
D Humphrey. (1930) Intermediate Mechanics. Longmans X240088327