授業の目的 【日本語】
Goals of the Course(JPN) | | |
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授業の目的 【英語】
Goals of the Course | | | Analytical mechanics abstracts from Newtonian mechanics and generalizes it to a versatile framework that can be applied to various areas of physics, such as quantum mechanics, statistical mechanics, and relativity. After a survey of elementary principles, we discuss the core concepts of Lagrangian and Hamiltonian mechanics, with special emphasis on symmetry principles, followed by some explicit examples. |
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到達目標 【日本語】
Objectives of the Course(JPN)) | | |
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到達目標 【英語】
Objectives of the Course | | A student who successfully completes this course will be able to:
- Understand the notions and procedures of the calculus of variations
- Write down the Lagrangian of a mechanical system in terms of generalized coordinates and describe its motion using the Euler-Lagrange equations
- Understand the relation between symmetries and conservation laws and write down the associated conserved quantities
- Describe the motion of mechanical systems using Hamiltonians
- Describe motion in central force problem using effective potential |
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授業の内容や構成
Course Content / Plan | | | Assignment sheets will be handed out. You will work on the problems assigned to you and then present your answers. The rest of the problems on the sheet are for homework. |
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履修条件
Course Prerequisites | | |
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関連する科目
Related Courses | | |
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「履修取り下げ届」提出の要・不要
Necessity / Unnecessity to submit "Course Withdrawal Request Form" | | |
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履修取り下げの条件等
Conditions for Course Withdrawal | | |
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成績評価の方法と基準
Course Evaluation Method and Criteria | | Participation 20%, Presentation 30%, Homework 50%
A score of 60 or higher on 100-point scale is required to pass. A score below 60 points will result in "Failing" grade. |
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不可(F)と欠席(W)の基準
Criteria for "Fail (F)" & "Absent (W)" grades | | | Class attendance is mandatory. Please provide a valid excuse for any absence. More than two absences without a valid explanation will result in "Absent" grade. |
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参考書
Reference Book | | | This is a tutorial class for "Analytical Mechanics I". Refer to the syllabus of "Analytical Mechanics I" for details. |
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教科書・テキスト
Textbook | | | This is a tutorial class for "Analytical Mechanics I". Refer to the syllabus of "Analytical Mechanics I" for details. |
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課外学習等（授業時間外学習の指示）
Study Load(Self-directed Learning Outside Course Hours) | | | Assignments every two weeks |
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注意事項
Notice for Students | | |
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他学科聴講の可否
Propriety of Other department student's attendance | | |
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他学科聴講の条件
Conditions for Other department student's attendance | | |
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レベル
Level | | |
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キーワード
Keyword | | |
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履修の際のアドバイス
Advice | | |
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授業開講形態等
Lecture format, etc. | | | Classes are conducted face-to-face. |
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遠隔授業（オンデマンド型）で行う場合の追加措置
Additional measures for remote class (on-demand class) | | |
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