MAT1009

Module Catalogue

Module Code: MAT1009

Module Title: CLASSICAL DYNAMICS

Module Provider: Mathematics	Short Name: MS106	Previous Short Name: MS106
Level: HE1	Module Co-ordinator: SKELDON A Dr (Maths)
Number of credits: 10	Number of ECTS credits: 5

Module Availability

Spring semester.

Assessment Pattern

Unit(s) of Assessment

Weighting Towards Module Mark( %)

50 minute class test (test 1)

12.5%

50 minute class test (test 2)

     12.5%

2 hour unseen examination

75%

Qualifying Condition(s)
An aggregate mark of 40% is required to pass this module.

Module Overview

Much of the way that mathematicians model the physical world today relies on basic concepts that were set out by Newton in the 17^th century. In this module we take as our starting point Newton’s laws of motion and examine how they may be applied.

Prerequisites/Co-requisites

MAT1015 Calculus
MAT1016 Linear Algebra

Module Aims

This module introduces the basic concepts of classical dynamics and shows how to use them to build simple models of mechanical systems.

Learning Outcomes

At the end of the module a student should:

* Understand the concepts of force, momentum, torque, angular momentum, work and power, kinetic and potential energy

* Understand Newton ’s laws of motion and be able to apply them to simple mechanical systems

* Be able to calculate simple solutions to the equations of motion, such as projectile trajectories and the motion of a mass on a spring

* Understand Newton ’s gravitational law, Kepler’s laws and their application to planetary motion
* Be able to use dimensional analysis to identify parameters in simple situations.

Module Content

Module Content

Introduction Basic physical attributes (length, time, mass), derived physical quantities (e.g. velocity, acceleration, momentum, density); S.I. units.

Newton’s laws of motion The ideas of force, momentum and inertia; projectile motion with and without air resistances; frictional forces and the coefficient of friction; Hooke’s law and spring systems; simple harmonic motion; work and power; kinetic and potential energy; conservation of energy and momentum; collisions.

Velocity and acceleration in polar coordinates. Torque and angular momentum.

Newton ’s gravitational law Acceleration due to gravity; planetary motion and Kepler’s laws.

Dimensional analysis;

Methods of Teaching/Learning

Teaching is by lectures and tutorials. Learning takes place through lectures, tutorials, exercises and background reading.

3 lecture/tutorial hours per week for 12 weeks.

Selected Texts/Journals