Об этом курсе: This course will cover the mathematical theory and analysis of simple games without chance moves.
Автор: Технологический институт Джорджии
Преподаватели: Dr. Tom Morley, Professor
School of Mathematics
| Язык | English |
| Как пройти курс | Чтобы пройти курс, выполните все оцениваемые задания. |
| Оценки пользователей |
Программа курса
НЕДЕЛЯ 1
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 видео, 10 материалов для самостоятельного изучения
- Leyendo: Start Here
- Leyendo: Consent Form
- Leyendo: Syllabus
- Leyendo: Course Logistics
- Leyendo: About The Instructor
- Leyendo: Get More From Georgia Tech
- Leyendo: Start Here (Week 1)
- Leyendo: Game Rules
- Видео: Introduction to Two Players Left and Right
- Видео: What is a Combinatorial Game?
- Видео: Example Problem
- Видео: Example Problem Solution
- Leyendo: Week 1 Lecture Slides
- Leyendo: Extra Problems
НЕДЕЛЯ 2
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 видео, 5 материалов для самостоятельного изучения, 1 practice quiz
- Leyendo: Start Here (Week 2)
- Leyendo: Game Rules
- Видео: Cutcake and Adding Games
- Видео: The 0 Game
- Видео: Adding Games
- Leyendo: Week 2 Lecture Slides
- Видео: Quiz Problems
- Видео: Week 2 Quiz Review
- Leyendo: Earn a Georgia Tech Badge/Certificate/CEUs
- Leyendo: Extra Problems
- Cuestionario de práctica: Mid-Course Survey 1
Оцениваемый: Quiz Week 2
НЕДЕЛЯ 3
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 видео, 5 материалов для самостоятельного изучения
- Leyendo: Start Here (Week 3)
- Leyendo: Game Rules
- Видео: Ordering Games
- Видео: Example and a Problem
- Видео: Problem Solution
- Видео: Ski Jumps
- Видео: Games That Are Not Numbers
- Leyendo: Week 3 Lecture Slides
- Видео: Proof and Quiz
- Leyendo: Week 3 Quiz Solutions
- Leyendo: Extra Problems
Оцениваемый: Quiz Week 3
НЕДЕЛЯ 4
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 видео, 5 материалов для самостоятельного изучения, 1 practice quiz
- Leyendo: Start Here (Week 4)
- Leyendo: Game Rules
- Видео: Some Numbers Are Games
- Видео: Some Games Are Numbers
- Видео: Simplicity
- Видео: More Numbers
- Leyendo: Week 4 Lecture Slides
- Видео: Quiz Preview
- Leyendo: Week 4 Quiz Solutions
- Leyendo: Extra Problems
- Cuestionario de práctica: Mid-Course Survey 2
Оцениваемый: Quiz 4
НЕДЕЛЯ 5
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 видео, 5 материалов для самостоятельного изучения
- Leyendo: Start Here (Week 5)
- Leyendo: Game Rules
- Видео: New Ways of Simplifying Games
- Видео: Examples From Nim
- Видео: General Reversible
- Видео: Toads and Frogs
- Leyendo: Week 5 Lecture Slides
- Leyendo: Week 5 Quiz Solutions
- Leyendo: Extra Problems
Оцениваемый: Quiz 5
НЕДЕЛЯ 6
Week 6: Impartial Games
The topics for this sixth week is Nim: Students will be able to play and analyze impartial games.
4 видео, 5 материалов для самостоятельного изучения
- Leyendo: Start Here (Week 6)
- Leyendo: Game Rules
- Видео: Nim and How to Win
- Видео: Impartial Games, Reversible Moves
- Видео: Examples, Mex
- Видео: All Impartial Games Are Equivalent to Nim
- Leyendo: Week 6 Lecture Slides
- Leyendo: Week 6 Quiz Solutions
- Leyendo: Extra Problems
Оцениваемый: Quiz 6
НЕДЕЛЯ 7
Week 7: What You Can Do From Here
The topic for this seventh and final week is Where to go from here.
4 видео, 4 материалов для самостоятельного изучения, 1 practice quiz
- Leyendo: Start Here (Week 7)
- Leyendo: Game Rules
- Видео: Infinite Games
- Видео: Loopy Games
- Видео: Mean Values, Hot, Cold, Sente, Gote
- Видео: Atomic Weights
- Leyendo: Week 7 Lecture Slides
- Leyendo: Week 7 Quiz Solutions
- Cuestionario de práctica: Final Week Survey
Оцениваемый: Bonus Quiz
Resources
1 материал для самостоятельного изучения
- Leyendo: Game Rules
Часто задаваемые вопросы
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Авторы
Технологический институт Джорджии
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.
Рейтинги и отзывы
Nice course and nice lecturer, I have learnt a lot of new things of Combinatorial Game theory. Thank you.
Thank you
Fantastic
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very interesting analysis of