Math 497

Winter 2002

Week 5

Monday 2/4- Friday 2/8

    Course Home Page

  1. Week 1 - Jan 7-11

  2. Week 2 - Jan 14-18

  3. Week 3 - Jan 21-25

  4. Week 4 - Jan 28 - Feb 1

  5. Week 5 - Feb 4 - 8

  6. Week 6 - Feb 11 - 15

  7. Week 7 - Feb 18 - 22

  8. Week 8 - Feb 25 - Mar 1

  9. Week 9 - Mar 4 - 8

  10. Week 10 - Mar 11 - 15

  11. Exam Week Mar 18 - 22

    12.

Thursday 2/7

Patterns in Repeating Decimals

  • Which fractions 1/n and m/n have terminating decimal expansions?
  • Decimal expansions of m/7 and m/13 behave differently
  • A secret is powers of 10 mod 7 and mod 13

Assignment

Read The Book of Numbers Fractions Chapter 6 pages on decimal expansions and card shuffling.

Work on Session 2 problems from PCMI 2001