学部・大学院区分
Undergraduate / Graduate
理学部
時間割コード
Registration Code
0680090
科目区分
Course Category
専門基礎科目
Basic Specialized Courses
科目名 【日本語】
Course Title
数理物理学2
科目名 【英語】
Course Title
Mathematical Physics II
コースナンバリングコード
Course Numbering Code
担当教員 【日本語】
Instructor
藤田 隆明 ○
担当教員 【英語】
Instructor
FUJITA Takaaki ○
単位数
Credits
2
開講期・開講時間帯
Term / Day / Period
秋 木曜日 4時限
Fall Thu 4
授業形態
Course style
講義
Lecture
学科・専攻
Department / Program
G30 Physics
必修・選択
Compulsory / Selected
See "Course List and Graduation Requirements" for your program for your enrollment year.


授業の目的 【日本語】
Goals of the Course(JPN)
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.
到達目標 【日本語】
Objectives of the Course(JPN))
到達目標 【英語】
Objectives of the Course
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.
履修条件
Course Prerequisites
Contact the instructor in charge.
関連する科目
Related Courses
Calculus I, II
Linear Algebra I, II
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.
不可(F)と欠席(W)の基準
Criteria for "Fail (F)" & "Absent (W)" grades
Contact the instructor in charge.
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)
教科書・テキスト
Textbook
Not specified. Notes are distributed during the lecture.
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.
注意事項
Notice for Students
他学科聴講の可否
Propriety of Other department student's attendance
他学科聴講の条件
Conditions for Other department student's attendance
レベル
Level
キーワード
Keyword
履修の際のアドバイス
Advice
授業開講形態等
Lecture format, etc.
Contact the instructor in charge.
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)