Day 41, MAT115

Last Time

Next Time

Announcements:
- Finals next week, hooray! (Maybe you think that it's a little premature to celebrate....:) In any event, here's a message for you, from Oscar Brown, Jr. (from Between Heaven and Hell)
- Logo day winners!
  - mat115-001:
  - mat115-002:
- Logistics for the final:
  - You may have two kinds of cheat sheets:
    - An 8.5x11 sheet turned into a mobius cheat sheet, and
    - the skeleton of the icosahedron (made out of 4x6 cards).
  - You have old material, which was covered on the first two tests, as well as new material. You should review your tests and the keys which are on-line. There will be considerable similarity.
  - To make the final more interesting, if the "old part" of the final is better than your lower of the two hourly exams, I'll replace the lower grade with the higher final grade.
- Your homeworks are returned:
  - You were supposed to use the KNOT TILES
  - I've got to see the overs and unders
- Logos are returned (for those who handed in paper reports; for those of you who emailed, I'll email your grade and comments -- sorry I haven't done those yet).
Let's revisit the topics we've covered:
- First exam:
  1. Probability
    - Birthday problem
    - Let's make a deal problem
    - Complementary events
    - Pascal's triangle
    - etc.
  2. Morse code
  3. Babylonian mathematics
  4. Mayan mathematics
  5. Egyptian multiplication and division
- Second exam:
  1. Fibonacci Numbers
  2. Fibonacci Nim
  3. Fibonacci spirals
  4. Golden rectangles
  5. Fractals
    - WWAW -- World Within A World
    - area and stick fractals
  6. Frascal's triangle (Pascal's as a fractal)
  7. Graphs (simple -- e.g. Facebook, Euler)
- New for the Final exam (do your reading!):
  1. Graphs (e.g. directed and labelled -- Google PageRank, World War One graph)
  2. Knots and links -- don't forget your overs and unders!
  3. Mobius bands
  4. Infinity
  5. Several readings:
    - Lonely Numbers (Primes and prime factorization)
    - Love me not (dynamics)
    - Commuting (when order doesn't matter)

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Updated on 05/01/2015 12:39:24