Homework for the ninth week: ax + by = c and fractions

Notes also available as PDF.

Practice is absolutely critical in this class.

Groups are fine, turn in your own work. Homework is due in or before class on Mondays.

- Find two integer solutions to each of the following, or state why no solutions
exist:
- 64x + 336y = 32
- 33x - 27y = 11
- 31x - 27y = 11

- Problem set 6.3:
- 5, 6, 9, 10, 13, 14
- even numbers from 20 up to and including 36
- 39, 40
- 57, 58 (alas, I don’t think I’ll have time to discuss why continued fractions are very interesting and useful)

Note that you may email homework. However, I don’t use Microsoft^{TM} products
(e.g. Word), and software packages are notoriously finicky about translating
mathematics.

If you’re typing it (which I advise just for practice in whatever tools you use), you likely want to turn in a printout. If you do want to email your submission, please produce a PDF or PostScript document.