關於此課程：This course will cover the mathematical theory and analysis of simple games without chance moves.
製作方： Georgia Institute of Technology
教學方： Dr. Tom Morley, Professor
School of Mathematics
| 語言 | 英語（English） |
| 如何通過 | 通過所有計分作業以完成課程。 |
| 用戶評分 |
授課大綱
第 1 週
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, 10 個閱讀材料
- 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
- 視頻: What is a Combinatorial Game?
- 視頻: Example Problem
- 視頻: Example Problem Solution
- Reading: Week 1 Lecture Slides
- Reading: Extra Problems
第 2 週
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, 5 個閱讀材料, 1 個練習測驗
- Reading: Start Here (Week 2)
- Reading: Game Rules
- 視頻: The 0 Game
- 視頻: Adding Games
- Reading: Week 2 Lecture Slides
- 視頻: Quiz Problems
- 視頻: Week 2 Quiz Review
- Reading: Earn a Georgia Tech Badge/Certificate/CEUs
- Reading: Extra Problems
- Teste para praticar: Mid-Course Survey 1
已評分: Quiz Week 2
第 3 週
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, 5 個閱讀材料
- Reading: Start Here (Week 3)
- Reading: Game Rules
- 視頻: Example and a Problem
- 視頻: Problem Solution
- 視頻: Ski Jumps
- 視頻: Games That Are Not Numbers
- Reading: Week 3 Lecture Slides
- 視頻: Proof and Quiz
- Reading: Week 3 Quiz Solutions
- Reading: Extra Problems
已評分: Quiz Week 3
第 4 週
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, 5 個閱讀材料, 1 個練習測驗
- Reading: Start Here (Week 4)
- Reading: Game Rules
- 視頻: Some Games Are Numbers
- 視頻: Simplicity
- 視頻: More Numbers
- Reading: Week 4 Lecture Slides
- 視頻: Quiz Preview
- Reading: Week 4 Quiz Solutions
- Reading: Extra Problems
- Teste para praticar: Mid-Course Survey 2
已評分: Quiz 4
第 5 週
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, 5 個閱讀材料
- Reading: Start Here (Week 5)
- Reading: Game Rules
- 視頻: Examples From Nim
- 視頻: General Reversible
- 視頻: Toads and Frogs
- Reading: Week 5 Lecture Slides
- Reading: Week 5 Quiz Solutions
- Reading: Extra Problems
已評分: Quiz 5
第 6 週
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, 5 個閱讀材料
- Reading: Start Here (Week 6)
- Reading: Game Rules
- 視頻: Impartial Games, Reversible Moves
- 視頻: Examples, Mex
- 視頻: All Impartial Games Are Equivalent to Nim
- Reading: Week 6 Lecture Slides
- Reading: Week 6 Quiz Solutions
- Reading: Extra Problems
已評分: Quiz 6
第 7 週
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, 4 個閱讀材料, 1 個練習測驗
- Reading: Start Here (Week 7)
- Reading: Game Rules
- 視頻: Loopy Games
- 視頻: Mean Values, Hot, Cold, Sente, Gote
- 視頻: Atomic Weights
- Reading: Week 7 Lecture Slides
- Reading: Week 7 Quiz Solutions
- Teste para praticar: Final Week Survey
已評分: Bonus Quiz
Resources
1 個閱讀材料
- Reading: Game Rules
常見問題解答
運作方式
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製作方
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.
評分和審閱
Nice course and nice lecturer, I have learnt a lot of new things of Combinatorial Game theory. Thank you.
Thank you
Fantastic
very interesting analysis of