Day 01, MAT115

Next Time

Welcome!
Some thoughts for the day, and for the course:
- For you to be successful, your attitude is as important as your ability.
- What you do shows what you are.
- Wherever you are, be all there. Jim Elliot
Most days there will be a "Question of the day": today's is

What's the probability that two people in this room have the same birthday?
I'm guessing that many of you like to gamble. I should say that I don't encourage it!:) If you do end up gambling, I'd like you to gamble intelligently. Only gamble if you have inside information -- and that's often provided by mathematics.
3x5 cards: Please fill out the card, indicating
1. Name
2. Hometown
3. What is your calling? ("a calling has to do with one's larger purpose, personhood, deepest values, and the gift one wishes to give the world.... A calling is about the use one makes of a career." David Orr, Earth in Mind)
4. What is your dream job?
5. What is something special about you?
Introductions
The syllabus.
- Class will be organized around discussions of material, and activities. You must be prepared to contribute! My role will be to present and help clarify, but preferably to moderate discussions, and be a resource.
- I find that students are best at explaining ideas to other students. So what I shoot for is some students to get the idea in class, and then to "infect" the rest of the students.
- This to not going to be a "practical math" course: you will not learn how to balance a checkbook.
  This is a course incorporating material for a broad range of liberal arts disciplines. Some of them will be interesting to you, some of them may not. But this is not another algebra course. You may never have seen any mathematics quite like the things that we're going to study in this course!
Because of scenes like this:

and this:

I have instituted the "Class Agreement".
Your first assignment is on-line, and "due" Wednesday!
What is this "Logo"? Here are a few examples that former students have done:
Our goal is more than just mathematics -- there are "Lessons for life" that we should focus on:
1. Keep an open mind.
2. Just do it. Jump in. Make mistakes and fail, but never give up.
3. Often when we've done it once, we do it again. Follow up one good deed with another!
4. Understand simple things deeply.
5. Break a difficult problem into easier ones.
6. Look for patterns and similarities.
7. Explore the consequences of new ideas. Generalize.
8. Examine issues from several points of view.
  
  Don't be a turkey -- be a dog! (this one may require a little explanation....)
Now add your birthday (just month and day) to your card. We need to decide how much to bet that two people in this room have the same birthday.... And there's no sense betting if you can't win!
Perhaps you have some other questions, which I hope that you'll take a moment to think about:
1. What is probability? What's the probability that a die comes up 5? 6? 5 or 6?
2. What values do probabilities take?
3. Is there such a thing as "being due"? If my probability of making a freethrow in basketball is 1/2, and I miss this shot, will I (of necessity) make the next? If I miss three in a row, am I due?
4. Betting (and odds) is an equivalent way of thinking about this: how much would you bet against my bet of $20 that there will be two people in this room with the same birthday?
  Even money? If so, then you would be saying that the probability of there being two people with the same birthday is 1/2.
  You should only bet even money if the odds are in your favor...

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