231-06

Comments: Since we have an honors section, we will peruse a slightly different perspective. I want to discuss some material which I think is extremely cool, intensifies your understanding, but might be to much for a regular section of calculus (this includes using words like `proof' and 'theorem'-but that is only a mathematicians habit). On the other hand I also expect real enthusiasm for math from your side. The payoff is plentiful: more fun, more orientation on what math is really about. This course is more time intensive. The tradition is that honors students are not punished to risk more in a more challenging environment. You will and are allowed to make mistakes and learn from them, and still get a good grade. Maybe I should confess that I learned way more from my wrong attempts to solve a problem than from the immediate correct solutions. In modern language this is called learning experience.

I strongly encourage collaboration (not copying-a waste of time). Discovering how to make you way through a solution-that is fun alone, but even more as a team. What does that mean for you? - In our recitation section, we will do it the physics way: Everybody gets a problem and one (s)elected person will solve it on the board. Don't be afraid, that is the most effective way to learn. And did I mention the stuff with the grades (they are the least of your problems if you sign up for this course-I promise a fair survival training).