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 | | This course introduces students to vector analysis and partial differential equations, expecting their applications to advanced engineering, such as those related to mechanics and electromagnetics, and those to materials and heat transfer phenomena. The purpose of the course is to acquire fundamental knowledge in vector analysis and partial differential equations and enable students to apply it to solve actual engineering issues through intensive exercises.
Targets
1. Enable to solve basic problems on vector analysis.
2. Enable to solve basic problems on partial differential equations. |
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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 | | |
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授業の内容や構成
Course Content / Plan | | 1. Vector algebra 2. Vector differential operations
3. Curved lines and curved surfaces 4. Gradient, divergence and rotation
5. Line integrals and surface integrals
6. Gauss theorem, Stokes theorem and Green's theorem
7. Irrotational (conservative) field and solenoidal field
8. Curvilinear coordinate systems (cylindrical coordinates and spherical coordinates)
9. Poisson's equation and Green function
10. Separation of variables: Laplace equation, diffusion equation and wave equation
Students are expected to review the distributed notes after lectures. Students need to submit reports on the problems presented in the lecture. The solutions of the problems will be presented in the lecture where reports are returned, through which students are expected to deepen their understanding. |
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履修条件
Course Prerequisites | | | Contact the instructor in charge. |
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関連する科目
Related Courses | | Calculus I, II
Linear Algebra I, II |
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成績評価の方法と基準
Course Evaluation Method and Criteria | | Reports: (50%)
Examinations: (50%)
Students need to obtain at least 60% of the total marks to pass the course. |
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不可(F)と欠席(W)の基準
Criteria for "Fail (F)" & "Absent (W)" grades | | | Contact the instructor in charge. |
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参考書
Reference Book | | Mathematical Methods for Physicists, sixth edition, by G. B. Arfken and H. J. Weber,
Elesevier, 2005 (ISBN: 0-12-088584-0)
Mathematical Methods in the Physical Sciences, by Mary L. Boas,
Wiley, 2006 ((ISBN: 978-0471198260) |
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教科書・テキスト
Textbook | | | Not specified. Notes are distributed during the lecture. |
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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) | | | Contact the instructor in charge. |
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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. | | | Contact the instructor in charge. |
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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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