Math 165: Mathematics Seminar for Freshmen

Dr. Jason Parsley    and    Dr. Jeremy Rouse

Course Topics

Week 1: (8/26) Knot Theory

Slides from class (pdf, 1.2MB)

Further reading:

  • The Knot Book, Colin Adams -- understandable to high school students
  • The Shape of Space, Jeff Weeks -- on topology's insights into the shape of the universe


Week 2: (9/02) Congruences

Slides from class

Week 3: (9/09) Primes & Internet Security

Slides from class
Another reference: The Primes Pages.

Week 4: (9/16) Platonic Solids

Slides from class
Worksheet from class

Week 5: (9/23) Graph Theory

Slides from class

Week 6: (9/30) Benford's Law

Slides from class

Week 7: (10/7) Hyperbolic Geometry

Slides from class

Week 8: (10/14) Conway's Soldiers

Slides from class

Week 9: (10/21) Permutations, Parity, Puzzles

Slides from class

Week 10: (10/28) Mathematics of Voting

Slides from class

Week 11: (11/04) Levels of Infinity

Slides from class

Week 12: (11/11) Chaos and Fractals

Slides from class

Recommended books to read:

  • Chaos, by James Gleick
  • The Eudaemonic Pie, by Thomas Bass

Week 13: (11/18) Algebra and Geometry

Slides from class

Week 14: (12/02) 7 Million Dollar Problems

Slides from class