Let an award-winning professor, and former champion "mathlete" demonstrate how solving math problems can be fun by teaching techniques you can use in many aspects of life.
Overview
Syllabus
- By This Professor
- 01: Problems versus Exercises
- 02: Strategies and Tactics
- 03: The Problem Solver's Mind-Set
- 04: Searching for Patterns
- 05: Closing the Deal-Proofs and Tools
- 06: Pictures, Recasting, and Points of View
- 07: The Great Simplifier-Parity
- 08: The Great Unifier-Symmetry
- 09: Symmetry Wins Games!
- 10: Contemplate Extreme Values
- 11: The Culture of Problem Solving
- 12: Recasting Integers Geometrically
- 13: Recasting Integers with Counting and Series
- 14: Things in Categories-The Pigeonhole Tactic
- 15: The Greatest Unifier of All-Invariants
- 16: Squarer Is Better-Optimizing 3s and 2s
- 17: Using Physical Intuition-and Imagination
- 18: Geometry and the Transformation Tactic
- 19: Building from Simple to Complex with Induction
- 20: Induction on a Grand Scale
- 21: Recasting Numbers as Polynomials-Weird Dice
- 22: A Relentless Tactic Solves a Very Hard Problem
- 23: Genius and Conway's Infinite Checkers Problem
- 24: How versus Why-The Final Frontier
Taught by
Paul Zeitz
