This is just the beginning. Here are some lectures from this year's course.

- Abstract Representation: Your Ancient Heritage
- Unary, Binary and Beyond
- Induction: One Step at a Time
- Raising a Number to a Power
- Rabbits, Continued Fractions, The Golden Ratio, and Euclid's GCD
- The Fibonacci Numbers and an Unexpected Calculation

- Counting I: Correspondences and Choice Trees
- Counting II: Recurring Problems and Correspondences
- Counting III: Pascal's Triangle, Polynomials, and Vector Programs

- On Time Versus Input Size
- Grade School Revisited: How To Multiply Two Numbers
- Grade School Again: A Parallel Perspective

- Probability Theory: Counting in Terms of Proportions
- Probability Theory: Paradoxes and Pitfalls
- Decision Trees and Information: A Question of Bits
- Probability Theory: Random Variables and Great Expectations
- Probability Theory: The Probabilistic Method & Infinite Probability Spaces
- Probability Theory: Random Walks