8 : Ralph : Why mathematicians do proofs.
Counting lines & regions created by lines between all pairs of vertices on a circle?
Why are triangular numbers triangular.
Gauss's proof of the formula for the sum of the first n natural numbers.
(Two minute description of modular forms.)
9 : Zoltan : 2014-JO-40-spr, Q1 with fully presented proof.
10 : William : 2014-JO-40-spr, Q1 with fully presented proof.
Q2 worked out ideas only --- unfinished.
11 : David : 2014-SO-40-spr, Q1.
12 : Peter : 2014-SO-40-spr, Q1, Q3 complete.
Q4 part done.
8 : Ralph : Sets, N,Z,Q,R,C. Comparisons of sets.
Demonstration that |N| = |2N| = |Z| = |Q|.
Cantor's proof that |N| < |R|
What are complex numbers.
9 : Zoltan : 2014-JO-40-spr, Q2 with fully presented proof.
10 : William : 2014-JO-40-spr, Q2, Q3 with fully presented proof.
11 : Tamiru : 2014-SO-40-spr, Q2.
12 : Peter : 2014-SO-40-spr, Q4 completed correctly. Q2 started.
Complex numbers, e^(i*theta), e^(i*pi)+1=0,
Fundamental theorem of Algebra, Q,R, C=R(i).
Algebraic numbers, Q(sqrt(2)), Q(cuberoot(2)), transcendental numbers.
N as unary, N in place notation, N in prime power notation.
8 : Zoltan : Brussell sprouts (game),
2014-JO-40-spr, Q1 complete, Q2 partially done,
The horrible game.
9 : William : 2014-JO-40-spr, Q3 done, Q4 partial.
10 : David : 2014-JO-40-spr, Q4, Q5 done.
11 : Peter : 2014-SO-40-spr, Q3, Q4 completed. Q5 started.
12 : Tamiru : 2014-SO-40-spr, Q2 completed. Q5 started.
8 : Peter : 2014-JO-40-spr, Q4 and Q5 partially done.
Introduction to induction.
9 : Liam + : 2014-JA-40-spr, 2014-JA-40-spr, Q9 complete.
Chris
10 : David : 2014-JA-40-spr, Q3, Q4 completed.
11 : Ralph : 2014-SA-40-spr, Q2 completed proof. Required following:
Discussed continuous and discontinuous functions.
Discussed the intermediate value theorem.
12 : Zoltan : 2014-SA-40-spr, Q5 partial progress, found 4 < best <= 8.
Found a winning strategy with 8 moves for Peter.
Proved that there is none with 4 moves for Peter.