授業の目的 【英語】
Goals of the Course [ENG] | | 【Standardized across all programs】 In a global and interconnected society, mathematics play a central role. They are at the root of all communications tools, and serve as a universal language for natural and social sciences. All current technological developments are based on them. Mathematics can also be learned, enjoyed, and shared by everybody. Studying mathematics is also learning humility, tolerance, and diversity.
The aim of these Special Mathematics Lectures is to provide a solid knowledge on various mathematical topics. Concomitantly, students will develop a rigorous argumentation and a critical thinking. Each semester, a new subject is proposed, and these lectures are accessible to all students of Nagoya University, independently of their major and of their academic age. These special lectures also offer a unique opportunity to study in an international, transdisciplinary, and friendly environment. |
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授業の達成目標 【英語】
Objectives of the Course [ENG] | | | Game theory provides a mathematical framework for analyzing competition and cooperation in interactive situations. The theory has been mainly developed for the economy, but applies to many other fields, and to our daily life. Our aim is to present a concise introduction to this theory, emphasizing the role of clear definitions. Students will work on examples and will be able to understand some famous paradoxes scattered in the literature. |
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授業の内容や構成
Course Content or Plan | | The main topics covered will be (tentative program)
1) Decision theory
2) Strategic games
3) Extensive games
4) Games with incomplete information
5) Cooperative games
6) Evolutionary game theory |
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履修条件・関連する科目
Course Prerequisites and Related Courses | | | Basic knowledge on calculus and linear algebra, as provided in Calculus I & II and in Linear algebra I & II. Motivated 1st year students can also attend without these prerequisites but need an approval from the instructor. |
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成績評価の方法と基準
Course Evaluation Method and Criteria | | | The final grade will be based on the active participation during the lectures and on some written reports. Students will be encouraged to work on applications related to their major during the semester. Students need to notify the course withdrawal to the instructor when they have no intention of finishing the course during the semester. |
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教科書
Textbook | | | Free textbooks will be provided during the lectures |
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参考書
Reference Book | | | Free reference books will be provided during the lectures. Lecture notes will also be available. |
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課外学修等
Study Load (Self-directed Learning Outside Course Hours) | | | Students are expected to read their notes, and to be familiar with the content of the previous lectures before each new lecture. |
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注意事項
Notice for Students | | | It is expected that the students show a certain maturity in studying independently and in choosing some exercises and problems to solve. Study sessions might be organized on a weekly basis. |
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本授業に関するWebページ
Reference website for this Course | | |
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担当教員からのメッセージ
Message from the Instructor | | |
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実務経験のある教員等による授業科目（大学等における修学の支援に関する法律施行規則に基づくもの）
Courses taught by Instructors with practical experience | | |
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授業開講形態等
Lecture format, etc | | B-3）Face-to-face course（both simultaneous interactive and on-demand methods will be provided when necessary)
* Classrooms for face-to-face classes can be found in Timetable B on the ILAS website. |
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