MTH6107/MTH727U/ MTH727P-Chaos and Fractals-2025/26
Section outline
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Students mustMark as doneView all general news and announcements from the your module leaders.
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Forum Description: This forum is available for everyone to post messages to. Students can raise questions or discuss issues related to the module. Students are encouraged to post to this forum and it will be checked daily by the module leaders. Students should feel free to reply to other students if they are able to.
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Chaos theory is an area of mathematics that studies dynamical systems that are highly sensitive to changes on their conditions. Chaotic systems exhibit, among others, underlying patterns, feedback loops, repetitions, and fractals.
The main aims of this module are twofold:
To illustrate (rigorously) how simple deterministic dynamical systems are capable of extremely complicated or chaotic behaviour.
To make contact with real systems by considering a number of physically motivated examples and defining some of the tools employed to study chaotic systems in practice.
In our study we will encounter concepts such as, discrete, and continuous dynamical systems, repellers and attractors, Cantor sets, symbolic dynamics, topological conjugacy for maps, fractals, iterated function systems and Julia sets. Ideas and techniques from calculus and geometry will be important tools. -
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All questions carry equal marks.
Your solutions must be handwritten (with a proper pen on proper paper).
Include your name and student ID number.
The submission deadline is 1pm on Thursday 13th November.
To answer the questions, you are encouraged to consult your own lecture notes, the official handwritten lecture notes on QMPlus, and the QReview lecture videos.
You are welcome to use other resources, but ensure that your written answers are your own - if your answers very closely resemble those of other students (e.g. using identical sentences, etc.) then you will likely score very low marks for originality (and risk being investigated for collusion - this may involve an additional oral exam to test understanding and/or a formal misconduct process).
Similarly, if any answers appear to be generated by an AI then this will likely score low marks and/or be investigated.
Starting this year, a no-discount policy is in effect for approved Extenuating Circumstances claims (EC). This means that if a student cannot sit an in-term assessment for valid reasons, and has an approved EC claim for that missed assessment, they will have to sit that assessment at the next available opportunity. This will usually be arranged in Week 12 of the same semester where the in-term assessment was originally due, in the form of a different assignment covering broadly the same content of the original in-term assessment.
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All questions carry equal marks.
Your solutions must be handwritten (with a proper pen on proper paper).
Please include your name and student ID number.
The submission deadline is 1pm on Thursday 13th November.
Please scan and submit your answer file in 1 single file in PDF format.
The file size limit is 50MB.
7-Day late submission window runs from 13 November 2025 at 1300 to 20 November 2025 at 1300.
For every period of 24 hours, or part thereof, that an assignment is overdue there shall be a deduction of five per cent of the total marks available (i.e. five marks for an assessment marked out of 100). After seven calendar days (168 hours or more late) the mark shall be reduced to zero, and recorded as 0FL (zero, fail, late).
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In this module you will develop the following graduate attributes, which you will evidence through the following skills.
Communicate effectively in a range of formats for different purposes with a diverse range of people.
Respect, listen to, and value others and their opinions.
Identify clear personal, study and career goals, taking responsibility for your own growth and development.![Be resilient and flexible](data:image/svg+xml;utf8,<?xml version="1.0" encoding="utf-8"?> <!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> <svg version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="4500" height="4500" viewBox="0 0 4500 4500"> </svg>)
Apply a resilient and flexible approach to your life.Recognise and value your individual worth and identify the contributions you can make.Apply your disciplinary expertise to broader contexts and society.Engage critically and reflectively with knowledge.Demonstrate an innovative and creative approach to problem solving.Participate effectively and inclusively in different roles as part of a team, including as a leader.Act honestly, fairly and ethically, including in academic conduct.
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