MA4DS-Dynamical Systems

Module Provider: Mathematics and Statistics
Number of credits: 10 [5 ECTS credits]
Level:7
Terms in which taught: Spring term module
Pre-requisites: MA2ODE Ordinary Differential Equations MA2VC Vector Calculus
Non-modular pre-requisites:
Co-requisites:
Modules excluded: MA3DS Dynamical Systems
Module version for: 2017/8

Module Convenor: Dr Peter Chamberlain

Email: p.g.chamberlain@reading.ac.uk

Summary module description:
The module addresses the geometric theory of planar dynamical systems.

Aims:
To develop an understanding of the elements of nonlinear differential equations and dynamical systems.

Assessable learning outcomes:

By the end of the module students are expected to be able to:



• analyse the structure of planar nonlinear dynamical systems;



• solve appropriate problems in nonlinear dynamics;



• describe and apply methods and concepts beyond those covered in lectures.



This module will be assessed to a greater depth than the excluded module MA3DS.


Additional outcomes:

Outline content:
The course addresses the geometric theory of planar dynamical systems. This is the study of non-linear differential equations where the simple techniques used in linear equations do not apply and some interesting techniques are used to obtain useful information about nonlinear systems by investigating related linear systems and synthesising the information obtained.

Brief description of teaching and learning methods:
Lectures supported by problem sheets.

Contact hours:
  Autumn Spring Summer
Lectures 20
Guided independent study 80
       
Total hours by term 100.00
       
Total hours for module 100.00

Summative Assessment Methods:
Method Percentage
Written exam 90
Set exercise 10

Other information on summative assessment:
A number of exercise sheets and one examination paper.

Formative assessment methods:
Problem sheets.

Penalties for late submission:
The Module Convenor will apply the following penalties for work submitted late, in accordance with the University policy.

  • where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
  • where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

  • The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
    You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

    Length of examination:
    2 hours.

    Requirements for a pass:
    A mark of 50% overall.

    Reassessment arrangements:
    One examination paper of 2 hours duration in August/September - the resit module mark will be the higher of the exam mark (100% exam) and the exam mark plus previous coursework marks (90% exam, 10% coursework).

    Additional Costs (specified where applicable):
    1) Required text books:
    2) Specialist equipment or materials:
    3) Specialist clothing, footwear or headgear:
    4) Printing and binding:
    5) Computers and devices with a particular specification:
    6) Travel, accommodation and subsistence:

    Last updated: 31 March 2017

    Things to do now