Section Name Description
Exam Preparation - Past exam papers File 2024-25 exam
File 2024-25 Exam Solutions
File 2023-24 exam
File 2023-24 exam SOLUTIONS
File 2022-23 exam
File 2016-17 exam
File 2016-17 exam SOLUTIONS
File 2021-22 exam
File 2015-16 exam
File 2015-16 exam SOLUTIONS
File 2014-15 exam
File 2014-15 exam SOLUTIONS
File 2013-14 exam
File 2013-14 exam SOLUTIONS
Week 1: Dynamical systems File Exercise Sheet 1
File Solution sheet 1
File Lecture Notes Week 1
Week 2: Basin of attraction, attracting and repelling periodic points File Lecture Notes Week 2
Week 3: Diffeomorphisms of R File Lecture Notes Week 3
Week 4: Fixed points and periodic orbits of diffeomorphisms File Exercise Sheet 2
File Solution Sheet 2
File Lecture Notes Week 4
Week 5: Sharkovskii's Theorem, Logistic maps, period-doubling File Lecture Notes Week 5
Week 6: Topological conjugacy, symbolic dynamics File Exercise Sheet 3
File Solution sheet 3 (full solutions)
File Solution sheet 3 (topological conjugacy)
File Lecture Notes Week 6
Week 7: Coursework File Coursework (due by 1pm, Thursday 13th November)

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.

Week 8: Symbolic coding File Exercise sheet 4
File Solution sheet 4
File Week 8 Lecture Notes
Week 9: Chaos, Cantor sets, Non-escaping sets File Exercise Sheet 5
File Solution Sheet 5
File Week 9 Lecture Notes
Week 10: Cantor sets and fractals File Exercise sheet 6
File Solution sheet 6
File Week 10 Lecture Notes
Week 11: Fractals and Dimension, Iterated Function Systems File Exercise Sheet 7
File Solution sheet 7
File Week 11 Lecture Notes
Week 12: Dimension File Coursework (ONLY for students who missed the mid-term coursework with ECs)
Reading List Online File Some books related to Chaos & Fractals