NOTE: Course information changes frequently, including Methods of Instruction. Please revisit these pages periodically for the most recent and up-to-date course information.

• Logic: An exploration of logic builds the groundwork for further mathematical reasoning. What is mathematical logic? How does one structure a proof? How can this framework be applied to philosophical thought? One topic covered is game theory (how mathematicians study decision-making), which has applications in fields such as economics, biology, and psychology.
• Counting and Probability: Abstract counting, in the form of combinatorics, serves as an introduction to set theory, which in turn sets the stage for probability theory. As an application, the class delves into cryptography, looking at how math can be used to create and read secret messages.
• Advanced Topics: In the final week, building on what we have done already and depending one students’ interests, we look at a few advanced topics. Potential topics include planetary orbits, symmetry, topology, common statistical fallacies, and Markov chains.