Hello everyone! Today we worked on problem B6 from the 2017 Putnam Competition. We also discussed using the Zoom videoconferencing application to meet while we are away from campus. If you don't know what Zoom is or how to use it, I suggest you look into it or send me an email. We will likely have the same meeting time. Keep an eye on your email for more details.
Today we worked on solving problem B4 from the 2017 Putnam Competition. This problem requires remembering some facts about series from Calculus 2! We also discussed some ideas for improving the club and connecting more with the wider campus community. If you have any ideas about this, let me know!
Thank you to everyone who made it to our meeting today! We started out with the warm-up problem below, and then spent the rest of the meeting discussing problem B3 from the 2017 Putnam Competition (which is in the attached file).
Warm-up Problem: Two real numbers are selected independently at random from the interval [-20, 10]. What is the probability that the product of those numbers is greater than zero?
Today we started out with a warm-up problem and then worked on problem A4 from the 2017 Putnam Competition.
Here is the warm-up problem: A wire is cut into two pieces, one of length a and the other of length b. The piece of length a is bent to form an equilateral triangle, and the piece of length b is bent to form a regular hexagon. The triangle and hexagon have equal area. What is a/b?
The solution to the warm up problem can be found here:...
This was our first meeting of the new semester! We started with a warmup problem. If you would like the solution to this problem, click here.
A pair of standard 6-sided fair dice is rolled once. The sum of the numbers rolled determines the diameter of a circle. What is the probability that the numerical value of the area of the circle is less than the numerical...