Об этом курсе: This course will cover the mathematical theory and analysis of simple games without chance moves.
Автор: Georgia Institute of Technology
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 материала для самостоятельного изучения
- 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
- Видео: What is a Combinatorial Game?
- Видео: Example Problem
- Видео: Example Problem Solution
- Reading: Week 1 Lecture Slides
- Reading: 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 материала для самостоятельного изучения, 1 тренировочный тест
- Reading: Start Here (Week 2)
- Reading: Game Rules
- Видео: The 0 Game
- Видео: Adding Games
- Reading: Week 2 Lecture Slides
- Видео: Quiz Problems
- Видео: Week 2 Quiz Review
- Reading: Earn a Georgia Tech Badge/Certificate/CEUs
- Reading: Extra Problems
- Practice Quiz: 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 материала для самостоятельного изучения
- Reading: Start Here (Week 3)
- Reading: Game Rules
- Видео: Example and a Problem
- Видео: Problem Solution
- Видео: Ski Jumps
- Видео: Games That Are Not Numbers
- Reading: Week 3 Lecture Slides
- Видео: Proof and Quiz
- Reading: Week 3 Quiz Solutions
- Reading: 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 материала для самостоятельного изучения, 1 тренировочный тест
- Reading: Start Here (Week 4)
- Reading: Game Rules
- Видео: Some Games Are Numbers
- Видео: Simplicity
- Видео: More Numbers
- Reading: Week 4 Lecture Slides
- Видео: Quiz Preview
- Reading: Week 4 Quiz Solutions
- Reading: Extra Problems
- Practice Quiz: 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 материала для самостоятельного изучения
- Reading: Start Here (Week 5)
- Reading: Game Rules
- Видео: Examples From Nim
- Видео: General Reversible
- Видео: Toads and Frogs
- Reading: Week 5 Lecture Slides
- Reading: Week 5 Quiz Solutions
- Reading: 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 материала для самостоятельного изучения
- Reading: Start Here (Week 6)
- Reading: Game Rules
- Видео: Impartial Games, Reversible Moves
- Видео: Examples, Mex
- Видео: All Impartial Games Are Equivalent to Nim
- Reading: Week 6 Lecture Slides
- Reading: Week 6 Quiz Solutions
- Reading: 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 материала для самостоятельного изучения, 1 тренировочный тест
- Reading: Start Here (Week 7)
- Reading: Game Rules
- Видео: Loopy Games
- Видео: Mean Values, Hot, Cold, Sente, Gote
- Видео: Atomic Weights
- Reading: Week 7 Lecture Slides
- Reading: Week 7 Quiz Solutions
- Practice Quiz: Final Week Survey
Оцениваемый: Bonus Quiz
Resources
1 материал для самостоятельного изучения
- Reading: Game Rules
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Авторы
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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