Course project
There will be a course project which contributes 10% to the course grade. Students are required to work in a group of 4.
The objective is to write a 5-10 page report on an interesting
mathematical topic.
Below are some potential projects and references (update in
continuation).
- The 3n+1 conjecture.
[1]
- Rubik cube.
[1]
[2]
[3]
- Trisection of an angle.
[1]
- Circle packing.
[1]
[2]
- Paper fold-and-cut.
[1]
[2]
[3]
- Origami.
[1]
- Paper folding and unfolding.
[1]
- Perceived depth images.
[1]
- Optical illusions.
[1]
[2]
- Logic.
[1]
[2]
- Paradoxes.
[1]
- Turing test.
[1]
[2]
- Prime numbers.
[1]
- Fermat last theorem.
[1]
- Golden ratio.
[1]
- Overhang.
[1]
- Four colour theorem.
[1]
[2]
- Invariant Method.
[1]
- Six degrees of separation.
[1]
[2]
[3]
- Prisoner dilemma.
[1]
[2]
- Braess' paradox.
[1]
- Puzzles.
- Beautiful proofs.
- Magic tricks.
- Games.
- History of mathematics.