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 Important module information |
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 2017 Coursenotes by Juan A. Valiente Kroon |
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| Courworks |
Coursework 1 solutions |
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Coursework 2 solutions |
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Coursework 3 solutions |
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| What's it like to be a Math Phd (mini-talk by Jordan Marajh and Evelyn Yoczira Lira Torres) |
Mini-Talk slides for October 11, 2023 |
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| Week 1 - Introduction to PDEs |
Week 1 lecture notes |
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Review of some ODE techniques |
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Problem set 1 |
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Selected solutions to Problem set 1 |
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| Week 2 -First order PDEs |
Week 2 lecture notes |
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Problem set 2 |
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Selected solutions to Problem set 2 |
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Selected Solutions to Problem set 2 (continued) |
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PS2 Q9 solutions |
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| Week 3 - Classification of second order PDEs and derivation of the wave equations |
Week 3 lecture notes |
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Problem set 3 |
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Selected solutions to Problem set 3 |
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| Week 4 - Wave equations on the real lines and conservation of energy |
Week 4 lecture notes |
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Problem set 4 |
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Selected solutions to Problem set 4 |
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| Week 5 - Wave equations on half line and intervals |
Week 5 lecture notes |
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Problem set 5 |
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Selected solutions to Problem set 5 |
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Problem set 5 Question 6 solutions |
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| Week 6 - Fourier series, inhomogeneous wave equations and Duhamel's principle |
Week 6 lecture notes |
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Problem set 6 |
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Selected solutions to Problem set 6 |
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Problem set 6 Question 7 solutions |
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| Week 8 - Harmonic functions and Laplace equations in polar coordinates |
Week 8 lecture notes |
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Problem set 7 |
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Selected solutions to Problem set 7 |
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Problem set 7 Question 8 solutions |
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| Week 9 - Further properties of harmonic functions |
Week 9 lecture notes |
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Problem set 8 |
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Selected solutions to Problem set 8 |
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| Week 10 - Heat equations on intervals with different types of boundary conditions |
Week 10 lecture notes |
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Problem set 9 |
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Selected solutions to Problem set 9 |
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Problem set 9 Question 7,8 solutions |
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| Week 11 - Heat kernel, heat equations on real line and half line |
Week 11 lecture notes |
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Problem set 10 |
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Selected solutions to Problem set 10 |
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| Week 12 - Further properties of heat equations |
Week 12 lecture notes |
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Problem set 11 |
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Selected solutions to Problem set 11 |
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| Practice Exams |
2023 Exam |
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2023 Exam solutions |
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2021 Exam |
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2021 Exam solutions |
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2019 Exam |
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2019 Exam solutions |
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