Puzzles & Games (DAC)

Fall 2023

Class Material

• DAY 1: Knights & Knaves [Slides]
• DAY 2: Cheryl’s B-day Problem, Game of 21, Tic-tac-toe [Slides]
  
• DAY 3: Mutilated Chessboard, Water & Wine [Slides]
• DAY 4: Counting, Hotelling’s Law [Slides]
• DAY 5: Problem Solving, Project Ideas [Slides]
• DAY 6: Fitch Cheney and Poker [Slides]
• DAY 7: Games of Chance and Expected Value [Slides]
• DAY 8: Quiz 1, Class Work
• DAY 9: HW Session, Mathematical Card Tricks [Tricks]
• DAY 10: HW Session, More Magic [Clock Trick] [Matched Speller]
• DAY 11: HW 2 Review, Test Prep
• DAY 12: Test Prep, Missing Dollar, Monty Hall [Slides]
• DAY 13: Test Prep, Penney’s Game [Slides]
• DAY 14: (Oct 5) Test 1
• DAY 15: Intro to Modular Arithmetic, The Caesar Cipher [Slides]
  
• DAY 16: More Modular Arithmetic, The Affine Cipher [Slides]
  
• DAY 17: HW Session, Coin Flipping
• DAY 18: Cancelled
• DAY 19: HW3 Review
• DAY 20: One-Time Pad [Slides]
  
• DAY 21: Public Key Cryptography [Slides]
  

Simulators

• American Roulette
• Deck of Cards

Books

• Lady Luck The Theory Of Probability by Warren Weaver
• Mathematical Recreations and Essays by W. W. Rouse Ball
• Amusements in Mathematics by Henry Ernest Dudeney
• The Last Recreations by Martin Gardner

Youtube Channels

• Numberphile
• Stand-up Maths
• Vi Hart
• Mathologer
• 3blue1brown
• G4G Celebration

Other Online Resources

• Cut The Knot: Interactive Mathematics Miscellany and Puzzles
• Card Colm: Colm Mulcahy’s articles on Mathematical Card Magic
• Recreational Mathematics Magazine: Free Online Journal
• Open Source Vector Playing Cards: Playing Card Images