About this course: This course will cover the mathematical theory and analysis of simple games without chance moves.
Created by: Georgia Institute of Technology
Taught by: Tom Morley, Professor
School of Mathematics
| Language | English |
| How To Pass | Pass all graded assignments to complete the course. |
| User Ratings |
Syllabus
WEEK 1
Week 1: What is a Combinatorial Game?
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.
4 videos, 10 readings
WEEK 2
Week 2: Playing Multiple Games
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.
5 videos, 5 readings, 1 reading
Graded: Quiz Week 2
WEEK 3
Week 3: Comparing Games
The topics for this third week is Comparing games. Students will determine the outcome of simple sums of games using inequalities.
6 videos, 5 readings
Graded: Quiz Week 3
WEEK 4
Week 4: Numbers and Games
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.
5 videos, 5 readings, 1 reading
Graded: Quiz 4
WEEK 5
Week 5: Simplifying Games
The topics for this fifth week is Simplifying games: Dominating moves, reversible moves. Students will be able to simplify simple games.
4 videos, 5 readings
Graded: Quiz 5
WEEK 6
Week 6: Impartial Games
The topics for this sixth week is Nim: Students will be able to play and analyze impartial games.
4 videos, 5 readings
Graded: Quiz 6
WEEK 7
Week 7: What You Can Do From Here
The topic for this seventh and final week is Where to go from here.
4 videos, 4 readings, 1 reading
Graded: Bonus Quiz
Resources
1 reading
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Georgia Institute of Technology
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Georgia Tech's campus occupies 400 acres in the heart of the city of Atlanta, where more than 20,000 undergraduate and graduate students receive a focused, technologically based education.
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