| Exam Preparation - Past exam papers |
 2023-24 exam |
|
|
2023-24 exam SOLUTIONS |
|
|
2022-23 exam |
|
|
2021-22 exam |
|
|
2016-17 exam |
|
|
2016-17 exam SOLUTIONS |
|
|
2015-16 exam |
|
|
2015-16 exam SOLUTIONS |
|
|
2014-15 exam |
|
|
2014-15 exam SOLUTIONS |
|
|
2013-14 exam |
|
|
2013-14 exam SOLUTIONS |
|
|
| Week 1: Dynamical systems |
Exercise sheet 1 |
|
|
Solution sheet 1 |
|
|
Lecture Notes 24th September |
|
|
Lecture Notes 25th September |
|
|
| Week 2: Basin of attraction, attracting and repelling periodic points |
Lecture Notes 1st October |
|
|
Lecture Notes 2nd October |
|
|
| Week 3: Diffeomorphisms of R |
Week 3 Lecture Notes |
|
|
| Week 4: Fixed points and periodic orbits of diffeomorphisms |
Exercise Sheet 2 |
|
|
Solution sheet 2 |
|
|
Week 4 Lecture Notes |
|
|
| Week 5: Sharkovskii's Theorem, Logistic maps, period-doubling |
Week 5 Lecture Notes |
|
|
| Week 6: Topological conjugacy, symbolic dynamics |
Exercise sheet 3 |
|
|
Solution sheet 3 |
|
|
PRACTICE TEST: 2023-24 Mid-term test |
|
|
SOLUTIONS to 2023-24 mid-term test |
|
|
Week 6 Lecture Notes |
|
|
| Week 7: Test & consolidation week |
Mid-Term Test & SOLUTIONS |
|
|
| Week 8: Symbolic coding |
Exercise sheet 4 |
|
|
Solution sheet 4 |
|
|
Week 8 Lecture Notes |
|
|
| Week 9: Chaos, Cantor sets, Non-escaping sets |
Exercise sheet 5 |
|
|
Solution sheet 5 |
|
|
Week 9 Lecture Notes |
|
|
| Week 10: Cantor sets and fractals |
Exercise Sheet 6 |
|
|
Solution Sheet 6 |
|
|
Week 10 Lecture Notes |
|
|
| Week 11: Fractals and Dimension, Iterated Function Systems |
Exercise Sheet 7 |
|
|
Solution sheet 7 |
|
|
Week 11 Lecture Notes |
|
|
| Week 12: Dimension |
Basin of Attraction (revision of a Week 2 topic) |
|
|
Exam Revision Tips |
|
|
| Reading List Online |
Some books related to Chaos & Fractals |
|
