8 : Zoltan : The "chocolate" game.
2012-JO-Spring ToT 2012 Junior ordinary Q1
Digression on Manhattan and Paris Metro metrics.
Earthquake location.
9 : Ralph : A discussion of existence of solutions to problems.
2012-JO-Spring ToT 2012 Junior ordinary Q1
Triangulation.
10 : Peter : 2012-JO-Spring ToT 2012 Junior ordinary Q1 complete.
Q2 partial.
11 : William : 2012-SO-Spring ToT 2012 Senior ordinary Q1.
12 : Ellen : 2012-SO-Spring ToT 2012 Senior ordinary Q1 partial.
Q10 and Q15 from past ToT problems.
CCSE: Tryon : Making a flappy bird game with pygame-zero.
Download pgz-master.zip to have a play.
8 : Zoltan : In/Out game with n^2+1, horrible game with 11x-23.
2012-JO-Spring ToT 2012 Junior ordinary Q1, model solution.
Q2 Facts about factors, a divides b, solution given.
9 : Ralph : 2012-JO-Spring ToT 2012 Junior ordinary Q1, proper solution,
Facts about divisors, prime factorisations, number of divisors.
Q2 worked on small examples and found useful properties.
Partial solution only.
10 : Peter : 2012-JO-Spring ToT 2012 Junior ordinary Q1, proper proof.
Q2 done more slowly, then enough for a solution given.
11 : Tamiru : 2012-SO-Spring ToT 2012 Senior ordinary Q2 done.
Q3 started.
12 : Ellen : 2012-SO-Spring ToT 2012 Senior ordinary Q2 done.
Q5 started.
CCSE: Liam + : Pygame-zero games, tron, flappybird, alien.
Cassy + Github link.
Peter +
Josh
8 : Tryon : 2012-JO-Spring Q2 done Q4 started
9 : Ellen + : 2012-JO-Spring Q2 and Q3
Michael Also worked on extra ToT problem on coin weighing.
10 : Tamiru : 2012-JO-Spring Q3 and Q4.
11+12: Zoltan : 2012-SO-Spring Q4.
CCSE: William : Graph searching, breadth first, depth first, priority.
Cassy + Showed core of search is the same in all cases.
Peter + Changing the data structure changes the algorithm.
Josh Discussed queues, stacks, implementations & trade-offs.
8 : Ralph : Sizes of finite sets via counting and 1-1 correspondence.
Proof that sqrt{2} is not rational.
Sizes of infinite sets via
Proofs that |N| = |2N| = |Z| = |Q+| = |Q|.
Diagonal proof that |N| < |R|.
9 : Peter : 2012-JO-Spring Q1 and Q2 full proofs.
Q3 partial progress.
10 : Chris : 2012-JO-Spring Completed all questions.
Started on the Senior ordinary questions 1 and 5.
11+12: Zoltan + : 2012-SO-Spring Almost solved Q4.
Michael Proved various lemmas on the way.
Cassy + Q6 and Q7 from the AIC 2013 Seniors sheet
Peter +
Josh
Term 1 --- Week 5 (Online with zoom)
8,9+10: Ralph : What is 3^3+4^4+3^3+5^5 = ????
Is this unusual? Is it rare or common?
Consider the simpler problem of 3-powerful numbers.
e.g. 1^3+5^3+3^3 = 153.
Are there infinitely many or finitely many?
What about 2-powerful numbers, 4-powerful numbers, etc.
See pages 56-59 of Notebook-3.
11+12: Zoltan + : 2012-SA-Spring almost solved Q1.
+CCSE: David
Term 1 --- Week 6 (Online with zoom)
8,9+10: Ralph : We discussed primes, divisibility and interesting sets
in order to make progress on Q5 on the 2012-JA-Spring ToT.
11+12: Peter + : Tidied up Q1 and solved Q2 and had a great discussion
Zoltan + : about Q6 of the 2012-SA-Spring ToT.
David
CCSE : Josh : Discussions about floating point representations and errors.
A few examples in a Jupyter notebook running on Binder.
For details see the github repo.
Term 1 --- Week 7 (Online with zoom)
8,9+10: Ralph : We proved Q5 on the 2012-JA-Spring ToT.
11+12: Peter + : Q6 of the 2012-SA-Spring ToT
Zoltan + :
David :
CCSE : Josh + : Discussed a computer simulation of the SIR model
Cassy + : of epidemic spread.
Peter + : Subsequently had a discussion about the benefits
and potential risks of using computer models.
See the github link for more details.