Lecture Notes

Technology permitting, the lectures will be delivered as PDF presentations. I shall endeavour to make the notes available the day before the lecture so that students can "follow along". Assuming that the technology works, there may be additional notes written during the lectures. These will be posted shortly after the lecture finishes. I shall often prepare a little more than I shall actually give.

The notes will be available in several different layouts. It is important to know which is which.

1. Beamer. This is what will actually appear on the screen during the lectures. You must never print this version. As each "transition" results in a new page, this can easily exceed 100 pages.
2. Trans. This is a "one frame per page" version of the above. If you intend to "follow along" with the lecture on your own computer then this is probably the best. However, I still strongly urge you not to print it.
3. Handout. This is a more condensed version in terms of space. By putting 4 slides on a page the total number of pages is significantly reduced. If you want to print something then print this version.
4. Annotated. It will probably take a little experimenting to find the best way to present the annotated version. As a first go, the PDF contains just the annotated pages. For most pages, this should be sufficient to locate it within the main presentation. For some it may be useful to have the previous page included as well. Let me know if this, or something else, would be useful.

Note: all are as PDFs.

It is important to know what these notes are intended for. These notes are what is displayed in the lecture. The intention is that they are for those who attended or will attend the lecture so that they don't have to spend the whole lecture copying down what is written on the board. More is said in the lecture than is displayed on the screen and students can (and should) make additional notes as they wish. However, this means that they are not an ideal resource for those that did not attend the lecture as all the commentary will be missing.

1. 23rd April 2010. Revision: The Wonderful Things Gauss Does Notes
2. 21st April 2010. Revision: How to Solve an ODE Notes
3. 16th April 2010. The Best of All Possible Worlds.beamer trans handout annotations
4. 14th April 2010. Foxes and Rabbits.beamer trans handout annotations
5. 9th April 2010. On the Diagonal.beamer trans handout annotations
6. 7th April 2010. Eigenvalue Your Point of View.beamer trans handout annotations
7. 19th March 2010. Interesting + Boring = Everything.beamer trans handout annotations
8. 17th March 2010. Both Angular and Flat.beamer trans handout annotations
9. 12th March 2010. Suitable for a First-Time Buyer.beamer trans handout annotations
10. 10th March 2010. No lecture due to midterm.

1. 13th January 2010. y i? beamer trans handout annotations
2. 15th January 2010. Mathematicians are e^{-π i}. beamer trans handout annotations
3. 20th January 2010. Two ODEs Are Better Than One. beamer trans handout annotations
4. 22th January 2010. Put a Spring in Your ODE. beamer trans handout annotations Java applet for exploring damped spring dynamics (external link)
5. 27th January 2010. The Grand Tour. beamer trans handout annotations Note: We got up to the three-stage test for linear independence (slide 86 in the beamer version, slide 22 on p6 of the handout version). The rest will be covered in the next lecture.
6. 29th January 2010. The Grand Tour Continues. beamer trans handout annotations
7. 3rd February 2010. Plane Sailing. beamer trans handout annotations
8. 5th February 2010. Ode to ODE. beamer trans handout annotations
9. 10th February 2010. What's the Difference?. Notes from first part (guest lecture) beamer trans handout annotations
10. 12th February 2010. Elementary, my dear Gauss. beamer trans handout annotations
11. 17th February 2010. What Is … The Matrix. beamer trans handout annotations
12. 19th February 2010. Mathematics' Marvellous Matrices. beamer trans handout annotations
13. 24th February 2010. MatrixirtaM. beamer trans handout annotations
14. 26th February 2010. Determining Invertibility. beamer trans handout annotations
15. 3rd March 2010. Euclidean Space, Sweet Euclidean Space. beamer trans handout annotations
16. 5th March 2010. Who Lives Here?. beamer trans handout annotations
17. 12th March 2010. Suitable for a First-Time Buyer.beamer trans handout annotations
18. 17th March 2010. Both Angular and Flat.beamer trans handout annotations
19. 19th March 2010. Interesting + Boring = Everything.beamer trans handout annotations
20. 7th April 2010. Eigenvalue Your Point of View.beamer trans handout annotations
21. 9th April 2010. On The Diagonal.beamer trans handout annotations
22. 14th April 2010. Foxes and Rabbits.beamer trans handout annotations
23. 16th April 2010. The Best of All Possible Worlds.beamer trans handout annotations
24. 21st April 2010. Revision: How to Solve an ODE Notes
25. 23rd April 2010. Revision: The Wonderful Things Gauss Does Notes