授業の主題
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In engineering, numerical methods are commonly used for solving equations approximately in order to predict / understand the behavior of systems. Numerical analysis is a method where the governing equations are obtained by using computers. This course offers lectures on various types of numerical analysis algorithms based on fundamental knowledge of mathematics such as the linear algebra and the calculus. Students will also learn those algorithms through the computer programming using VBA.
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授業の目標
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To understand various numerical calculation algorithms, to choose properly the method for solving each given problem, and to obtain numerical solutions by composing VBA codes.
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学生の学修目標
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1. To understand the fundamental numerical calculation algorithms, i.e. solving simultaneous equations, numerical integration and derivation, arithmetic of matrices, numerical solution of differential equations.
2. To realize codes that can solve respective problems using skills of computer programming by VBA.
3. To understand how numerical errors affect the calculation accuracy.
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授業概要
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1. Introduction of the course, representation of numbers, numerical errors (1 week)
2. Methods for solving nonlinear equations (2 weeks)
3. Numerical solution of simultaneous linear equations (3 weeks)
4. Matrix eigenvalue problems (2 weeks)
5. Interpolations and approximations of functions (2 weeks)
6. Numerical integration methods (2 weeks)
7. Numerical methods for ordinary differential equations (2 weeks)
8. Comprehensive exercise (1 week)
9. Final examination (1 week)
★In the course, students will take lectures and do exercises alternately.
★Homeworks will be assigned upon each lecture.
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評価方法と割合
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評価方法
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Total score of assignments and the score of final examination are evaluated in equal proportion. Absence without notice more than 1/3 of the total lectures will not be subjected to qualification.
- Grading Scale: S: 90-100% ; A: 80-89 ; B: 70-79 ; C: 60-69 ; D: Below 60
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評価の割合
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Attendance to at least two-thirds of classes is required.
Assignments : 50%; Final Examination : 50%.
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授業時間外の学修に関する指示
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特になし
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教科書・参考書
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教科書・参考書補足
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- Since the regular textbook is written in Japanese, printed lecture outline in English will be distributed as necessary.
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オフィスアワー等（学生からの質問への対応方法等）
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- Fridays 17:00-18:00. In case the scheduled office hours are inconvenient for you, please make an appointment.
- Questions are also accepted by email. toshi@se.kanazawa-u.ac.jp
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履修条件
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その他履修上の注意事項や学習上の助言
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- Regular attendance to the course is strongly recommended. Lectures and exercises are held alternately in every other week.
- Preparations and reviews are recommended every week.
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カリキュラムの中の位置づけ
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- Calculus I, Linear algebras I, Computer literacy (1st semester of the first year)
- Calculus II, Linear algebras II, Differential equations and exercises, Exercises in computing (2nd semester of the first year)
- Exercise in computer programming (2nd semester of the second year)
- Introduction to computing machine (2nd semester of the third year)
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