This course will cover the mathematical theory and analysis of simple games without chance moves.
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
Show info about module content
4 videos•Total 19 minutes
Introduction to Two Players Left and Right•8 minutes
What is a Combinatorial Game?•5 minutes
Example Problem•1 minute
Example Problem Solution•4 minutes
10 readings•Total 100 minutes
Start Here•10 minutes
Consent Form•10 minutes
Syllabus•10 minutes
Course Logistics•10 minutes
About The Instructor•10 minutes
Get More From Georgia Tech•10 minutes
Start Here (Week 1)•10 minutes
Game Rules•10 minutes
Week 1 Lecture Slides•10 minutes
Extra Problems•10 minutes
Week 2: Playing Multiple Games
Module 2•2 hours to complete
Module details
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
Show info about module content
5 videos•Total 26 minutes
Cutcake and Adding Games•10 minutes
The 0 Game•7 minutes
Adding Games•6 minutes
Quiz Problems•2 minutes
Week 2 Quiz Review•2 minutes
5 readings•Total 50 minutes
Start Here (Week 2)•10 minutes
Game Rules•10 minutes
Week 2 Lecture Slides•10 minutes
Earn a Georgia Tech Badge/Certificate/CEUs•10 minutes
Extra Problems•10 minutes
2 assignments•Total 60 minutes
Mid-Course Survey 1•30 minutes
Quiz Week 2•30 minutes
Week 3: Comparing Games
Module 3•2 hours to complete
Module details
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
Show info about module content
6 videos•Total 25 minutes
Ordering Games•5 minutes
Example and a Problem•5 minutes
Problem Solution•1 minute
Ski Jumps•7 minutes
Games That Are Not Numbers•4 minutes
Proof and Quiz•3 minutes
5 readings•Total 50 minutes
Start Here (Week 3)•10 minutes
Game Rules•10 minutes
Week 3 Lecture Slides•10 minutes
Week 3 Quiz Solutions•10 minutes
Extra Problems•10 minutes
1 assignment•Total 30 minutes
Quiz Week 3•30 minutes
Week 4: Numbers and Games
Module 4•2 hours to complete
Module details
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
Show info about module content
5 videos•Total 25 minutes
Some Numbers Are Games•6 minutes
Some Games Are Numbers•7 minutes
Simplicity•5 minutes
More Numbers•5 minutes
Quiz Preview•2 minutes
5 readings•Total 50 minutes
Start Here (Week 4)•10 minutes
Game Rules•10 minutes
Week 4 Lecture Slides•10 minutes
Week 4 Quiz Solutions•10 minutes
Extra Problems•10 minutes
2 assignments•Total 60 minutes
Mid-Course Survey 2•30 minutes
Quiz 4•30 minutes
Week 5: Simplifying Games
Module 5•2 hours to complete
Module details
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
Show info about module content
4 videos•Total 33 minutes
New Ways of Simplifying Games•8 minutes
Examples From Nim•4 minutes
General Reversible•10 minutes
Toads and Frogs•12 minutes
5 readings•Total 50 minutes
Start Here (Week 5)•10 minutes
Game Rules•10 minutes
Week 5 Lecture Slides•10 minutes
Week 5 Quiz Solutions•10 minutes
Extra Problems•10 minutes
1 assignment•Total 30 minutes
Quiz 5•30 minutes
Week 6: Impartial Games
Module 6•2 hours to complete
Module details
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
Show info about module content
4 videos•Total 25 minutes
Nim and How to Win•7 minutes
Impartial Games, Reversible Moves•5 minutes
Examples, Mex•5 minutes
All Impartial Games Are Equivalent to Nim•8 minutes
5 readings•Total 50 minutes
Start Here (Week 6)•10 minutes
Game Rules•10 minutes
Week 6 Lecture Slides•10 minutes
Week 6 Quiz Solutions•10 minutes
Extra Problems•10 minutes
1 assignment•Total 30 minutes
Quiz 6•30 minutes
Week 7: What You Can Do From Here
Module 7•2 hours to complete
Module details
The topic for this seventh and final week is Where to go from here.
What's included
4 videos4 readings2 assignments
Show info about module content
4 videos•Total 15 minutes
Infinite Games•2 minutes
Loopy Games•3 minutes
Mean Values, Hot, Cold, Sente, Gote•4 minutes
Atomic Weights•5 minutes
4 readings•Total 40 minutes
Start Here (Week 7)•10 minutes
Game Rules•10 minutes
Week 7 Lecture Slides•10 minutes
Week 7 Quiz Solutions•10 minutes
2 assignments•Total 60 minutes
Final Week Survey•30 minutes
Bonus Quiz•30 minutes
Resources
Module 8•10 minutes to complete
Module details
What's included
1 reading
Show info about module content
1 reading•Total 10 minutes
Game Rules•10 minutes
Instructor
Instructor ratings
Instructor ratings
We asked all learners to give feedback on our instructors based on the quality of their teaching style.
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