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 2022-23 Level 6 FHEQ First Semester 15

Aims

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

Learning Outcomes

(LO1) After completing the module students will be able to understand the possible behaviour of dynamical systems with particular attention to chaotic motion;

(LO2) After completing the module students will be familiar with techniques for extracting fixed points and exploring the behaviour near such fixed points;

(LO3) After completing the module students will understand how fractal sets arise and how to characterise them.

(S1) Problem solving skills

(S2) Numeracy

Syllabus
 

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.

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
MATH122 NEWTONIAN MECHANICS; MATH101 Calculus I; MATH103 Introduction to Linear Algebra 

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:
 

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Final Assessment  60    50       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Homework 5  0    10       
Homework 4  0    10       
Homework 3  0    10       
Homework 2  0    10       
Homework 1  0    10