授業の目的 【英語】
Goals of the Course [ENG] | | | 【Standardized across all programs】 "Linearity" is the most basic concept of quantitative treatment in modern science and is used in all fields. Linear algebra is a method of mathematically dealing with the linearity. The goal of this course is to understand the concept of vector space and its linear transformation and to familiarize yourself with mathematical treatment using matrices as the latter half of the year-round lecture. In particular, we emphasize understanding and handling of basic concepts such as basis, standardization, orthogonality, and eigenvalues. |
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授業の達成目標 【英語】
Objectives of the Course [ENG] | | | We will begin by generalizing the results from Linear Algebra I and make everything a bit more abstract. This will allow us to apply results from Linear Algebra I to not only vectors, but also, for example, functions. Especially the chapter on eigenvalues will have a lot of real-life applications. |
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授業の内容や構成
Course Content or Plan | | | Vector spaces, determinants and their applications, eigenvalues and eigenvectors, applications of eigenvalue theory, continuous dynamical systems, linear differential equations. |
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履修条件・関連する科目
Course Prerequisites and Related Courses | | While not a formal requirement, Linear Algebra I is strongly recommended.
Check https://www.henrikbachmann.com/la1_2024.html for the content of Linear Algebra I. |
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成績評価の方法と基準
Course Evaluation Method and Criteria | | There will be two main, written exams: midterm and final Additionally, there will be homework assignments and (just for fun) quizzes.
Course withdrawal: Any student who does not participate in the final exam will receive the grade “Absent”. It is not necessary to submit a course withdrawal request form. |
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教科書
Textbook | | | There is no specific textbook. Materials will be provided as needed. |
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参考書
Reference Book | | | Otto Bretscher: Linear Algebra with Applications, fourth edition, Pearson |
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課外学修等
Study Load (Self-directed Learning Outside Course Hours) | | | There will be a reference book and several online sources which can be used for additional self-study. The lectures re already recorded and available on YouTube. All information will be available before the course starts. The students will need to submit homework every 2-3 weeks and participate actively in class. |
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注意事項
Notice for Students | | |
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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 | | A-1）Face-to-face course
* Classrooms for face-to-face classes can be found in Timetable B on the ILAS website. |
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