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 | | The aim of this course is to provide essential mathematical knowledge necessary to further study mathematics and other sciences at university level. The course is intended for students taking Linear Algebra I. |
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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 | | In the Tutorial we will discuss the Homework for the course Linear Algebra I and to answer possible questions regarding the lecture. This will be done by doing exercises and examples together which are similar to those in the homework. |
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授業の内容や構成 Course Content / Plan | | Linear systems, Gaussian elimination, matrices, vectors, linear maps, matrix multiplication, the inverse of a linear map, subspaces of Rn, image and kernel, linear independence, bases, dimension, coordinates, orthogonal bases, the Gram–Schmidt algorithm, QR factorization, orthogonal complement, orthogonal maps, least square approximations. |
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履修条件・関連する科目 Course Prerequisites and Related Courses | | High-school level mathematics. If you take Linear Algebra I you should also attend this course. |
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成績評価の方法と基準 Course Evaluation Method and Criteria | | The assessment of this course coincides with the assessment of the course Linear Algebra I. |
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教科書・テキスト Textbook | | We will give out Lecture notes and Overview notes. All information can be found on the course homepage: https://www.henrikbachmann.com/la1_2023.html |
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参考書 Reference Book | | Otto Bretscher: Linear Algebra with Applications, fourth edition, Pearson 2009.
ISBN: 978-0-13-600926-9 |
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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) | | Before attending the Tutorial the students should recall the previous lecture and prepare questions to ask during the Tutorial. |
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使用言語 Language Used in the Course | | |
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授業開講形態等 Lecture format, etc. | | The format is not decided yet and will depend on the situation. The current plan is to have the Tutorial in Zoom online. All information can be obtained on the course homepage: https://www.henrikbachmann.com/la1_2023.html |
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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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