Download EMPS - Module - ECM1708 Dynamics MODULE CODE ECM1708

EMPS - Module - ECM1708 Dynamics.rtf
MODULE CODE
ECM1708
MODULE LEVEL
MODULE TITLE
Dynamics
LECTURERS
Dr Sebastian Wieczorek (Coordinator), Dr Frank Kwasniok,
CREDIT VALUE
15
ECTS VALUE
PRE-REQUISITES
ECM1701 and ECM1702 (or equivalent)
CO-REQUISITES
ECM1705 (or equivalent)
DURATION OF MODULE
1 Terms(2)
TOTAL STUDENT STUDY TIME
Total: 150 hours.
1
7.5
AIMS
The aims are to introduce students to Newtonian dynamics and its applications; to show the use of calculus and vectors in the
modelling of physical systems; to introduce students to applied mathematics as a tool for investigating natural phenomena. As
examples, the consequences of physical laws will be explored, aswell as the behaviour of physical systems from projectiles
and rockets to planetary motion.
INTENDED LEARNING OUTCOMES
1. Module specific skills.
By the end of this module, students should be able to:
(a) demonstrate understanding of basic classical mechanics, and of the modelling of simple mechanical and dynamical
systems.
2. Discipline specific skills.
By the end of this module, students should have:
(a) an understanding of the physical world, how it may be modelled, and how mathematical machinery such as vectors and
calculus may be used to analyse these models.
2. Personal and key skills.
By the end of this module, students should be able to:
(a) reason about physical systems using abstract ideas and models and communicate reasoning effectively in writing;
(b) demonstrate appropriate use of learning resources;
(c) demonstrate self management and time-management skills.
LEARNING / TEACHING METHODS
The formal contact is three one hour lectures per week (33 hours) and, additionally, a one hour problem class every alternate
week covering solutions to the assigned problem sheets (5 hours). Optional, one hour, weekly, drop inђsupport tutorials will
also be provided throughout the module to assist with difficulties experienced in understanding material or solving assigned
problem sheets.
ASSIGNMENTS
Three problem sheets will be set which need to be submitted for assessment.
ASSESSMENT
Examination (80%) A two hour closed book written examination in May/June.
Coursework (20%) Based on answers to selected questions on problem sheets.
Last Revised: 26th Jan 2007
EMPS - Module - ECM1708 Dynamics.rtf
SYLLABUS PLAN
Basic concepts: Modelling; Particles, space, time, velocity, acceleration; Newton's laws. [3 hours].
Projectiles: Gravity; Trajectories; Range; Envelope of trajectories. [3 hours].
Simple harmonic motion: Elasticity, Hooke's law; Strings and springs; Equilibria and oscillations. [3 hours].
Energy: Kinetic energy and gravitational potential energy; Elastic potential energy; Motion under general potentials, equilibria,
stability and small oscillations. [7 hours].
Oscillations: Damping, forcing and resonance; Coupled oscillations; Normal coordinates. [6 lectures].
Nonlinear systems: First order systems; Phase plane; Classification of equilibria in linear systems; Linearisation about
equilibria in nonlinear systems; Examples of predator-prey models. [7 hours].
Planetary motion: Motion in plane polar coordinates; Velocity and acceleration; Central forces and angular momentum. [4
hours].
INDICATIVE BASIC READING LIST
Collinson C.D. and Roper T. "Particle Mechanics" , Arnold (1995), ISBN: 000-0-340-61046-8 (set)
Lunn M. "A first course in Mechanics" , Oxford University Press (1991), ISBN: 978-0198534334 (set)
Smith P. & Smith R.C. "Mechanics" 2nd, Wiley (1990), ISBN: 000-0-471-92737-6 (set)
Dyke P. & Whitworth R. "Guide to Mechanics" , Macmillan (1992), ISBN: 000-0-333-51072-0 (
EXTENDED READING LIST
DETAILED LEARNING OUTCOMES
DATE OF LAST REVISION
Last Revised: 26th Jan 2007
26th Jan 2007