M835: Fractal Geometry
I am a tutor for the Open University's MSc module in Fractal Geometry. This page is a repository for any materials that I produce.
Students registered for the October 2017 (17J) presentation can reach official M835 information and documents through the main MSc in Mathematics pages or via the M835-17J module site (requires login).
Contacting me about M835
You can contact me via my email address firstname.lastname@example.org or by 'phone. My office number is 01908 652136 and you are welcome to use it during working hours. Fractal geometry is one of my research interests so I am usually more than happy to talk. I am in the department most days between 11am and 5pm but it is definitely best to email me initially to arrange a mutually convenient time to talk.
Submitting your TMAs
I am very happy to receive your TMA through either the Maths eTMA system or by post. If you are planning to submit electronically, I suggest that you submit a test file (in pdf format) as a dummy TMA 00. I can then look at it and let you know whether there are likely to be any problems marking your actual TMA. For further guidance on preparing and submitting your TMA, please look at Student guidance for preparing and submitting TMAs site (login required).
If you intend to post your TMA to me, could you please send it to my work address:Dr T C O'Neil
Department of Mathematics and Statistics
The Open University
Milton Keynes MK7 6AA.
Make sure you have put sufficient postage on the envelope otherwise it won't arrive! It is always a good idea to obtain a `certificate of posting' but it is not necessary to pay for recorded or special delivery. It is also wise to keep a copy of your TMA in case it does go astray.
Remember that the cut-off date is the date I should receive the TMA by - if you would like to request an extension, please contact me to discuss it before the cut-off.
Useful course-related links
Many of these links will only work if you are a registered student on this course and you have logged in to the Open University system.
I will put any notes I produce here.
LTCC course: Introduction to Geometric Measure Theory
In October 2016 I gave some lectures at the LTCC. Links to the pdfs of the annotated slides are listed below.
- Lecture 1: As is typical with these things, I misjudged how much we could cover, so the latter part of these slides will form part of lecture 2.
- Lecture 2: I completely messed up the direct approach to calculating the lower bound on the Hausdorff dimension of the 1/4 by 1/4 Cantor set.
- Lecture 3: Covering Theorems and the Radon-Nikodym derivative.
- Lecture 4: I was rushing a bit towards the end.
- Take home exam.