This course will cover the mathematical theory and analysis of simple games without chance moves.
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There are 8 modules in this course
Hello and welcome to Games Without Chance: Combinatorial Game Theory! The topic for this first week is Let's play a game: Students will learn what a combinatorial game is, and play simple games.
What's included
4 videos10 readings
The topics for this second week is Playing several games at once, adding games, the negative of a game. Student will be able to add simple games and analyze them.
What's included
5 videos5 readings2 assignments
The topics for this third week is Comparing games. Students will determine the outcome of simple sums of games using inequalities.
What's included
6 videos5 readings1 assignment
The topics for this fourth week is Simplicity and numbers. How to play win numbers. Students will be able to determine which games are numbers and if so what numbers they are.
What's included
5 videos5 readings2 assignments
The topics for this fifth week is Simplifying games: Dominating moves, reversible moves. Students will be able to simplify simple games.
What's included
4 videos5 readings1 assignment
The topics for this sixth week is Nim: Students will be able to play and analyze impartial games.
What's included
4 videos5 readings1 assignment
The topic for this seventh and final week is Where to go from here.
What's included
4 videos4 readings2 assignments
What's included
1 reading
Instructor
Offered by
Recommended if you're interested in Math and Logic
Northwestern University
University of Colorado System
University of Colorado Boulder
University of California, Irvine
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