This course will cover the mathematical theory and analysis of simple games without chance moves.
教学大纲 - 您将从这门课程中学到什么
周
1完成时间为 2 小时
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 个视频 （总计 19 分钟）, 10 个阅读材料
4 个视频
What is a Combinatorial Game?5分钟
Example Problem1分钟
Example Problem Solution3分钟
10 个阅读材料
Start Here10分钟
Consent Form10分钟
Syllabus10分钟
Course Logistics10分钟
About The Instructor10分钟
Get More From Georgia Tech10分钟
Start Here (Week 1)10分钟
Game Rules10分钟
Week 1 Lecture Slides10分钟
Extra Problems10分钟
周
2完成时间为 2 小时
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 个视频 （总计 26 分钟）, 5 个阅读材料, 2 个测验
5 个阅读材料
Start Here (Week 2)10分钟
Game Rules10分钟
Week 2 Lecture Slides10分钟
Earn a Georgia Tech Badge/Certificate/CEUs10分钟
Extra Problems10分钟
2 个练习
Quiz Week 28分钟
Mid-Course Survey 110分钟
周
3完成时间为 1 小时
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 个视频 （总计 25 分钟）, 5 个阅读材料, 1 个测验
6 个视频
Example and a Problem5分钟
Problem Solution45
Ski Jumps6分钟
Games That Are Not Numbers4分钟
Proof and Quiz2分钟
5 个阅读材料
Start Here (Week 3)10分钟
Game Rules10分钟
Week 3 Lecture Slides10分钟
Week 3 Quiz Solutions10分钟
Extra Problems10分钟
1 个练习
Quiz Week 38分钟
周
4完成时间为 2 小时
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 个视频 （总计 25 分钟）, 5 个阅读材料, 2 个测验
5 个阅读材料
Start Here (Week 4)10分钟
Game Rules10分钟
Week 4 Lecture Slides10分钟
Week 4 Quiz Solutions10分钟
Extra Problems10分钟
2 个练习
Quiz 410分钟
Mid-Course Survey 210分钟
周
5完成时间为 2 小时
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 个视频 （总计 33 分钟）, 5 个阅读材料, 1 个测验
5 个阅读材料
Start Here (Week 5)10分钟
Game Rules10分钟
Week 5 Lecture Slides10分钟
Week 5 Quiz Solutions10分钟
Extra Problems10分钟
1 个练习
Quiz 510分钟
周
6完成时间为 1 小时
Week 6: Impartial Games
The topics for this sixth week is Nim: Students will be able to play and analyze impartial games.
4 个视频 （总计 25 分钟）, 5 个阅读材料, 1 个测验
4 个视频
Impartial Games, Reversible Moves4分钟
Examples, Mex4分钟
All Impartial Games Are Equivalent to Nim8分钟
5 个阅读材料
Start Here (Week 6)10分钟
Game Rules10分钟
Week 6 Lecture Slides10分钟
Week 6 Quiz Solutions10分钟
Extra Problems10分钟
1 个练习
Quiz 68分钟
周
7完成时间为 1 小时
Week 7: What You Can Do From Here
The topic for this seventh and final week is Where to go from here.
4 个视频 （总计 15 分钟）, 4 个阅读材料, 2 个测验
4 个阅读材料
Start Here (Week 7)10分钟
Game Rules10分钟
Week 7 Lecture Slides10分钟
Week 7 Quiz Solutions10分钟
2 个练习
Bonus Quiz10分钟
Final Week Survey20分钟
完成时间为 10 分钟
Resources
1 个阅读材料
1 个阅读材料
Game Rules10分钟
4.3
38 个审阅热门审阅
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.
讲师
Dr. Tom Morley
ProfessorSchool of Mathematics
关于 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.
常见问题
我什么时候能够访问课程视频和作业？
注册以便获得证书后，您将有权访问所有视频、测验和编程作业（如果适用）。只有在您的班次开课之后，才可以提交和审阅同学互评作业。如果您选择在不购买的情况下浏览课程，可能无法访问某些作业。
我购买证书后会得到什么？
您购买证书后，将有权访问所有课程材料，包括评分作业。完成课程后，您的电子课程证书将添加到您的成就页中，您可以通过该页打印您的课程证书或将其添加到您的领英档案中。如果您只想阅读和查看课程内容，可以免费旁听课程。
退款政策是如何规定的？
有助学金吗？
还有其他问题吗？请访问 学生帮助中心。
