Topics from Spring 2006:

• Logic and Mathematics (powerpoint), the slides from Bram van Heuveln's talk.
• Elementary topology of surfaces.
• Three questions.
• Probability.
• Problems on graphs.
• Applications of optimization (a pdf document with hyperlinks).

Topics from Fall 2005:

• The Towers of Hanoi
• Russell's paradox
• The Fibonacci Sequence
• Complex exponentiation, and continuous functions on the rationals and irrationals
• Continued fractions
• The Gauss-Bonnet theorem
• The Euclidean Algorithm
• Proofs by counterexample: lecture given by Bram van Heuveln.
• Strategy for the Euclidean game
• Euler's phi-function
• A quantitative look at problems in cancer chemotherapy (a powerpoint presentation by David).

Resources:

• MathWorld
• The San Francisco Exploratorium's list of cool mathematics sites.
• The Math Forum includes pages on famous historical mathematical problems and also Ask Dr. Math, which contains questions and answers on a number of issues.
• Nick Sloane's online encyclopedia of sequences.

Fall 2005 Mathematics Course Materials. Spring 2006 Mathematics Course Materials.

RPI Math

advising session slides from october 26