关于此课程： This course will cover the mathematical theory and analysis of simple games without chance moves.
制作方： Georgia Institute of Technology
教学方： Dr. Tom Morley, Professor
School of Mathematics
| 语言 | English |
| 如何通过 | 通过所有计分作业以完成课程。 |
| 用户评分 |
授课大纲
第 1 周
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, 10 个阅读材料
- Reading: Start Here
- Reading: Consent Form
- Reading: Syllabus
- Reading: Course Logistics
- Reading: About The Instructor
- Reading: Get More From Georgia Tech
- Reading: Start Here (Week 1)
- Reading: Game Rules
- 视频: What is a Combinatorial Game?
- 视频: Example Problem
- 视频: Example Problem Solution
- Reading: Week 1 Lecture Slides
- Reading: Extra Problems
第 2 周
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, 5 个阅读材料, 1 个练习测验
- Reading: Start Here (Week 2)
- Reading: Game Rules
- 视频: The 0 Game
- 视频: Adding Games
- Reading: Week 2 Lecture Slides
- 视频: Quiz Problems
- 视频: Week 2 Quiz Review
- Reading: Earn a Georgia Tech Badge/Certificate/CEUs
- Reading: Extra Problems
- Practice Quiz: Mid-Course Survey 1
已评分: Quiz Week 2
第 3 周
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, 5 个阅读材料
- Reading: Start Here (Week 3)
- Reading: Game Rules
- 视频: Example and a Problem
- 视频: Problem Solution
- 视频: Ski Jumps
- 视频: Games That Are Not Numbers
- Reading: Week 3 Lecture Slides
- 视频: Proof and Quiz
- Reading: Week 3 Quiz Solutions
- Reading: Extra Problems
已评分: Quiz Week 3
第 4 周
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, 5 个阅读材料, 1 个练习测验
- Reading: Start Here (Week 4)
- Reading: Game Rules
- 视频: Some Games Are Numbers
- 视频: Simplicity
- 视频: More Numbers
- Reading: Week 4 Lecture Slides
- 视频: Quiz Preview
- Reading: Week 4 Quiz Solutions
- Reading: Extra Problems
- Practice Quiz: Mid-Course Survey 2
已评分: Quiz 4
第 5 周
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, 5 个阅读材料
- Reading: Start Here (Week 5)
- Reading: Game Rules
- 视频: Examples From Nim
- 视频: General Reversible
- 视频: Toads and Frogs
- Reading: Week 5 Lecture Slides
- Reading: Week 5 Quiz Solutions
- Reading: Extra Problems
已评分: Quiz 5
第 6 周
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, 5 个阅读材料
- Reading: Start Here (Week 6)
- Reading: Game Rules
- 视频: Impartial Games, Reversible Moves
- 视频: Examples, Mex
- 视频: All Impartial Games Are Equivalent to Nim
- Reading: Week 6 Lecture Slides
- Reading: Week 6 Quiz Solutions
- Reading: Extra Problems
已评分: Quiz 6
第 7 周
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, 4 个阅读材料, 1 个练习测验
- Reading: Start Here (Week 7)
- Reading: Game Rules
- 视频: Loopy Games
- 视频: Mean Values, Hot, Cold, Sente, Gote
- 视频: Atomic Weights
- Reading: Week 7 Lecture Slides
- Reading: Week 7 Quiz Solutions
- Practice Quiz: Final Week Survey
已评分: Bonus Quiz
Resources
1 个阅读材料
- Reading: Game Rules
常见问题解答
运作方式
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制作方
Georgia Institute of Technology
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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