This is home page for the course of 16 lectures for third year Cambridge mathematics students. It was last given in autumn 2010. It will next be given starting January 19, 2012 (Tue/Thu @ 9am in CMS meeting room 3).
If you are interested in receiving an email alert when this course is updated you can subscribe to the comments thread below.
This material is provided for students, supervisors (and others) to freely use in connection with this course. Copyright remains with the author. Notice to external persons accessing this page
This year's course is almost over and will finish on 13 March 2012. You can give feedback on-line here. This will be sent to my email anonymously. After reading the responses, I will forward them to the Faculty Office. 8 students have sent feedback thus far.
I aim to make each lecture a self-contained unit on a topic, with notes of four A4 pages.
Here are the course notes 2012. They are now complete.
These note include hyperlinks between references to equations and to keywords in the index, but those may not be visible within your browser, only if you download the notes.
Here also are course notes for 2010-11. The notes for this year will be an incrementally improved version of these.
There is a course blog in which I will make a few comments after each lecture: to emphasize an idea, give a sidebar, correction (!), or answer an interesting question (that perhaps a student sends to me in email).
There are 3 examples sheets, each containing 11 questions, in this single file: exsheetoc.pdf. You should receive a supervision on each examples sheet.
The examples that were set for the 2010 course are in this single file: exsheet2010.pdf. I have made some small changes in preparing the sheets for the 2012 course.
Here is a file of all tripos questions in Optimization and Control for 2001-2011.
Here are past tripos questions 1995-2006: tripos.pdf
Some of these questions have amusing real-life applications.
I sometimes wonder whether it is helpful to publish full course notes. It is helpful that we can dispense with some tedious copying-out, and you are guaranteed an accurate account. But there are also benefits to hearing and writing down things yourself during a lecture, and so I hope you will still do some of that. I intend to say some things in every lecture that are not in the notes. In learning mathematics repeated exposure to ideas is helpful, so I hope that a combination of reading, listening, writing and solving problems will work well for you. I would be interested to hear from you if you would like to tell me what you think about this, and how you find best to use the notes that I am putting here.
I have some years included a small digression half way through each lecture. Here are some of the overheads I have used for these in the past. However, I am thinking I will omit these in 2012 and focus only on the course..
Here is the home page of INFORMS, the Institute for Operations Research and the Management Sciences.
Here is the home page of the UK Operational Research Society.
Please send me email with comments or corrections on my lectures, the notes or the examples sheet. I am very glad to receive comments and suggestions from students studyng the course.