Day 30, MAT115

Last Time

Next Time

Announcements:
- Last day! We have a final next week. Today is review.
- I wish that you could have been with me in Washington, talking about how to "tinker" with the climate(!)
- I'm sorry that I don't have your last assignment graded yet. I'll have it tomorrow, and will put the homeworks on my door. Let's go over that homework so that we're all in on the answers, at any rate....
- Logistics for the final:
  - You may have two kinds of cheat sheets:
    - your platonic solid models, 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 (graphs and knots). You should review your tests and the keys which are on-line. There will be some similarity (maybe much similarity!).
  - To make the final more interesting, if your final is better than your lower of the two hourly exams, I'll replace the lower grade with the higher final grade.
Let's revisit the topics we've covered:
- First exam:
  1. Probability
    - Birthday problem
    - Let's make a deal problem
    - Complementary events
    - etc.
  2. "Primitive counting" (counting by partition)
  3. Babylonian mathematics
  4. Mayan mathematics
  5. Egyptian multiplication and division
  6. Bases
- Second exam:
  1. Fibonacci Numbers
  2. Fibonacci Nim
  3. Fibonacci spirals
  4. Golden rectangles
  5. Pascal's triangle
  6. Platonic Solids
- Final exam:
  1. Graphs and trees
  2. Knots and links

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