Welcome to Math 606: Math Explorations

In this course you will explore the world of mathematical problem solving by investigating problems from MANY fields of mathematics.  Problems will come from number theory, probability, mathematical modeling, real analysis, and calculus.

This is a graduate level mathematics course.  It is assumed that you have a degree in mathematics (or the equivalent) and should have (hopefully) taken other courses in mathematics at the graduate level.  It is expected that you are familiar with and proficient in the common proof techniques: direct proof, proof by contradiction, proof by contraposition, and proof by mathematical induction.

Your instructor for the course is Dr. Kevin Peterson. I will provide problems, answers to questions, and the occasional hint. I will check my e-mail regularly following the communication protocol found in the syllabus. This is an independent project-based online course, there will be a significant amount of independent work.  The only help or hints allowed are from me.  Please do not ask classmates, friends, colleagues or Google for help with solving these problems.  You are allowed to look up theorem statements to help sove a given problem ... but not proofs of the problem itself. 

 In regards to assignments, each project must be typed up using a Microsoft Word (or similar software) and saved in PDF format.  I will not grade projects in any other format.

I am looking forward to guiding you to the best of my capabilities through this course!!