Josh Laison
Math 130: Contemporary Mathematics
(back row: Stina, Rachel, Rebecca, Georgia, Tom, Nick, Takuya, Everett, Luke, Ben, Jamie, Aaron, Britt, John)
(middle row: Moe, Emily, Joanna, Colleen, Alex, Lew, Emma, Brittany, Candice)
(front row: Trevor, Kelsey, Amanda, Sarah, Nikki)
(not pictured: Justina, Nick)
- Course Procedures
- Daily Problems, updated through Monday, May 4.
- Team Projects:
- Team Project #1, due Wednesday, February 4.
- Team Project #2, due Wednesday, February 25.
- Team Project #3, due Wednesday, April 1.
- Team Project #4, due Wednesday, April 29.
- Individual Problems:
- Individual Problems #1, due Friday, February 13.
- Individual Problems #2, due Wednesday, March 11.
- Individual Problems #3, due Friday, April 17.
- Individual Problems #4, due Saturday, May 9.
- Web Links:
- The Mathematics Subject Classification,
from the American Mathematical Society,
and the searchable mathscinet version
- The Fibonacci Association and Fibonacci Quarterly
- 80 proofs of the Pythagorean Theorem
- The AKS Primality test
- The largest known prime number,
from the Great Internet Mersenne Prime Search.
- (warning, the prime is 16 megs!)
- The Prime Number Theorem
- The Clay Millenium Problems
- The Official M.C. Escher website and symmetry artwork
- Regular and semi-regular tilings
- The life of Georg Cantor
- Play games on a torus or a Klein bottle here.
- Mobius bands in biology, knitting, ...
- The other Mobius band
- Stephen Colbert on topology
- Buy a Klein bottle here, and impress people at parties.
- Torus and Klein bottle games
- The Platonic solids
- Proofs of Euler's formula
- The regular polychora
- The Four-Color Theorem
- A 1-D Cellular Automaton Java applet.
- Play the game of life
here,
here,
and here.
- The last link has some incredible examples of initial patterns, such as
this,
this,
this,
this,
this,
and this.
- A fractal generator.
- A better fractal generator by Bob Devaney.
- Fractal images: Koch snowflake,
Sierpinski triangle,
Menger sponge
- The Chaos Game
- Mandelbrot set and Julia set investigator, and some Mandelbrot movies, and
more movies.