Module Details
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title CHAOS AND DYNAMICAL SYSTEMS
Code MATH322
Coordinator Dr BN Vasiev
Mathematical Sciences
B.Vasiev@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2016-17 Level 6 FHEQ Second Semester 15

Aims

To develop expertise in dynamical systems in general and study particular systems in detail.


Learning Outcomes

After completing the module students should be able to:

understand the possible behaviour of dynamical systems with particular attention to chaotic motion;

  

be familiar with techniques for extracting fixed points and exploring the behaviour near such fixed points;

understand how fractal sets arise and how to characterise them.


Syllabus
1 

Introduction (1 lecture)

Discrete-time dynamical systems with one variable (10 lectures)

Fractal sets (3 lectures)

Discrete-time dynamical systems with several variables (5 lectures)

Systems of autonomous coupled first-order differential equations (8 lectures)

Models of dynamical systems (9 lectures)


Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.
Explanation of Reading List:

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
MATH101; MATH103; MATH122  

Co-requisite modules:
 

Modules for which this module is a pre-requisite:
 

Programme(s) (including Year of Study) to which this module is available on a required basis:
 

Programme(s) (including Year of Study) to which this module is available on an optional basis:
Programme:MMAS Year:1 Programme:G100 Year:3 Programme:G101 Year:3,4 Programme:G110 Year:3 Programme:G1F7 Year:3 Programme:G1N3 Year:3 Programme:G1R9 Year:4 Programme:GG13 Year:3 Programme:GN11 Year:3 Programme:F344 Year:3,4 Programme:FGH1 Year:3,4 Programme:FG31 Year:3 Programme:GL11 Year:3 Programme:GR11 Year:4 Programme:GV15 Year:3 Programme:GG1A Year:3 Programme:BCG0 Year:3 Programme:L000 Year:3 Programme:Y001 Year:3

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Unseen Written Exam  2.5 hours  Second semester  100  Yes  Standard UoL penalty applies  Assessment 1 Notes (applying to all assessments) Final exam rubric: Full marks will be awarded for complete answers to all questions.  
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes