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] | | | Differential geometry plays a central role in many physical theory, as for example in classical mechanics, in solid states physics or in general relativity. During this one semester course, many essential notions will be introduced, among them the definitions of a manifold, of the curvature, of the parallel transport, of the holonomy, etc. By attending this course, students will get familiar with these notions, and will master the fundamental difference between extrinsic and intrinsic geometrical properties. |
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教科書
Textbook | | | Free textbooks will be provided during the lectures |
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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 will 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)
対面授業の場合の講義室は、時間割B表（名大ポータル>教養教育院ページ掲載）を確認すること。 |
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