This course will cover the mathematical theory and analysis of simple games without chance moves.
提供方
乔治亚理工学院
教學大綱 - 您將從這門課程中學到什麼
週
1完成時間為 2 小時
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 個視頻 （總計 19 分鐘）, 10 個閱讀材料
4 個視頻
What is a Combinatorial Game?5分鐘
Example Problem1分鐘
Example Problem Solution3分鐘
10 個閱讀材料
Start Here10分鐘
Consent Form10分鐘
Syllabus10分鐘
Course Logistics10分鐘
About The Instructor10分鐘
Get More From Georgia Tech10分鐘
Start Here (Week 1)10分鐘
Game Rules10分鐘
Week 1 Lecture Slides10分鐘
Extra Problems10分鐘
週
2完成時間為 2 小時
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 個視頻 （總計 26 分鐘）, 5 個閱讀材料, 2 個測驗
5 個閱讀材料
Start Here (Week 2)10分鐘
Game Rules10分鐘
Week 2 Lecture Slides10分鐘
Earn a Georgia Tech Badge/Certificate/CEUs10分鐘
Extra Problems10分鐘
2 個練習
Quiz Week 28分鐘
Mid-Course Survey 110分鐘
週
3完成時間為 1 小時
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 個視頻 （總計 25 分鐘）, 5 個閱讀材料, 1 個測驗
6 個視頻
Example and a Problem5分鐘
Problem Solution45
Ski Jumps6分鐘
Games That Are Not Numbers4分鐘
Proof and Quiz2分鐘
5 個閱讀材料
Start Here (Week 3)10分鐘
Game Rules10分鐘
Week 3 Lecture Slides10分鐘
Week 3 Quiz Solutions10分鐘
Extra Problems10分鐘
1 個練習
Quiz Week 38分鐘
週
4完成時間為 2 小時
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 個視頻 （總計 25 分鐘）, 5 個閱讀材料, 2 個測驗
5 個閱讀材料
Start Here (Week 4)10分鐘
Game Rules10分鐘
Week 4 Lecture Slides10分鐘
Week 4 Quiz Solutions10分鐘
Extra Problems10分鐘
2 個練習
Quiz 410分鐘
Mid-Course Survey 210分鐘
週
5完成時間為 2 小時
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 個視頻 （總計 33 分鐘）, 5 個閱讀材料, 1 個測驗
5 個閱讀材料
Start Here (Week 5)10分鐘
Game Rules10分鐘
Week 5 Lecture Slides10分鐘
Week 5 Quiz Solutions10分鐘
Extra Problems10分鐘
1 個練習
Quiz 510分鐘
週
6完成時間為 1 小時
Week 6: Impartial Games
The topics for this sixth week is Nim: Students will be able to play and analyze impartial games.
4 個視頻 （總計 25 分鐘）, 5 個閱讀材料, 1 個測驗
4 個視頻
Impartial Games, Reversible Moves4分鐘
Examples, Mex4分鐘
All Impartial Games Are Equivalent to Nim8分鐘
5 個閱讀材料
Start Here (Week 6)10分鐘
Game Rules10分鐘
Week 6 Lecture Slides10分鐘
Week 6 Quiz Solutions10分鐘
Extra Problems10分鐘
1 個練習
Quiz 68分鐘
週
7完成時間為 1 小時
Week 7: What You Can Do From Here
The topic for this seventh and final week is Where to go from here.
4 個視頻 （總計 15 分鐘）, 4 個閱讀材料, 2 個測驗
4 個閱讀材料
Start Here (Week 7)10分鐘
Game Rules10分鐘
Week 7 Lecture Slides10分鐘
Week 7 Quiz Solutions10分鐘
2 個練習
Bonus Quiz10分鐘
Final Week Survey20分鐘
完成時間為 10 分鐘
Resources
1 個閱讀材料
1 個閱讀材料
Game Rules10分鐘
4.3
38 個審閱熱門審閱
I like it, but as a math undergraduate I wish we have gone through some of the exciting research trend in combinatorial game theory.
Gives a great Basic Overview with basic examples of the Game Theory. However i wouldn't consider it suitable for Professional Uses.
講師
Dr. Tom Morley
ProfessorSchool of Mathematics
關於 乔治亚理工学院
The Georgia Institute of Technology is one of the nation's top research universities, distinguished by its commitment to improving the human condition through advanced science and technology.
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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