I recommend that you search several of the following topics online to identify one that interests you. To claim a topic, join the corresponding group number in the course website in eCampus.
Everybody gets a unique topic. Once someone claims a topic, the corresponding group becomes unavailable to other students. So you are more likely to get your first choice if you sign up soon.
- angle trisection
- Apollonian circles
- Archimedes cattle problem
- arithmetic–geometric mean
- Arrow’s impossibility theorem
- axiom of choice
- Banach–Tarski paradox
- Bernoulli numbers
- Bertrand paradox
- Braess’s paradox
- Calendrical calculations
- Cantor set
- Catalan’s constant
- chaos
- Collatz conjecture
- continuum hypothesis
- Dedekind cuts
- error-correcting codes
- Euler characteristic
- Euler–Mascheroni constant
- Fermat numbers
- Fermat’s last theorem
- Fibonacci numbers
- four-color theorem
- fractals
- Gabriel’s horn
- game of Life
- Gödel’s incompleteness theorems
- Goldbach’s conjecture
- golden ratio
- Gudermannian function
- Hausdorff dimension
- isoperimetric problem
- Jordan curve theorem
- Klein bottle
- knots
- Koch snowflake
- Königsberg bridge problem
- Lambert W function
- magic squares
- Mandelbrot set
- map projections
- Monty Hall problem
- Nim
- non-Euclidean geometry
- P versus NP
- Penrose tilings
- perfect numbers
- π
- Pick’s theorem
- Platonic solids
- prime-number theorem
- prisoner’s dilemma
- public-key cryptography
- Pythagorean triples
- quaternions
- Riemann hypothesis
- Rubik’s cube
- Russell’s paradox
- sangaku
- Skewes number
- space-filling curves
- sphere packing
- squaring the circle
- Stirling’s formula
- Sudoku
- tessellations
- three-body problem
- topologist’s sine curve
- tower of Hanoi
- transcendental numbers
- twin-prime conjecture
- unsolvability of the quintic
- wallpaper groups
- Waring’s problem
- Zeno’s paradoxes