PMU199H1S: The Universe in Zero Words
information as of January 27, 2016
This course examines some equations that are important in the history of mathematics. These will
range from the simple 1 + 1 = 2 to the famous E = mc2 , including among others the Bl
Game of 15:
Players take turns choosing an integer from 1 to 9. The first player to accumulate three
numbers that adds to 15 wins. The same integer cannot be chosen twice. Devise a strategy
for this game.
Solution Experimental findings: there were many dr
Challenge 28 Four people have to cross a bridge. Only two can cross at a time, and one of those two must be
carrying the only flashlight they have. One takes 1 min to cross, another takes 2 mins, the third person takes 5
mins, and the last person takes 10
Challenge 1: Find the next two terms in the following sequence: 1, 2, 6, 24, 120, 720
Solution These are factorials:
1! = 1
2! = 1*2 = 2
3! = 1*2*3 = 6
4! = 1*2*3*4 = 24
5! = 1*2*3*4*5 = 120
6! = 1*2*3*4*5*6 = 720
The next two terms are 5040 and 40320.
Challenge 12: Prove that it is never possible to determine a 4x4 Sudoku uniquely with only 3 entries. (Hint: you need to
figure out a way to structure your argument so that you examine all possible cases.)
The equilibrium price is the price at which quantity demanded equals quantity
supplied; on a graph, it can be demonstrated by the intersection point between the
demand and the supply curve.
The following can cause a shift in the demand curve for oil:
Before we begin our presentation there are a few things to keep in mind. All predictions are
conditional, which means rather than saying something like We anticipate x number of
windmills to be built which will reduce demand for oil by y% and
Investigate what the global competitiveness index is about.
- What is it?
- What does it measure?
- How does it measure it?
- Why these factors are chosen
- How these factors contribute to the creation of the index
- Why Canada is 14th and Switz