学部・大学院区分
Undergraduate / Graduate		農学部
時間割コード
Registration Code		0910826
科目区分
Course Category		専門基礎科目
Basic Specialized Courses
科目名　【日本語】
Course Title		[G30]数学演習１ｂ
科目名　【英語】
Course Title		[G30]Mathematics Tutorial Ib
コースナンバリングコード
Course Numbering Code
担当教員　【日本語】
Instructor		BACHMANN Henrik lennart ○
担当教員　【英語】
Instructor		BACHMANN Henrik lennart ○
単位数
Credits		1
開講期・開講時間帯
Term / Day / Period		秋 火曜日 ３時限
Fall Tue 3
対象学年
Year		１年
1
授業形態
Course style		演習
Seminar


授業の目的　【日本語】
Goals of the Course(JPN)
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.
到達目標　【日本語】
Objectives of the Course(JPN)
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.
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.
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.
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.Not getting enough points in the exams and homework.
教科書・テキスト
Textbook
We will give out Lecture notes. All information can be found on the course homepage: https://www.henrikbachmann.com/la1_2025.html
参考書
Reference Book
Otto Bretscher: Linear Algebra with Applications, fourth edition, Pearson 2009.
ISBN: 978-0-13-600926-9
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.
使用言語
Language Used in the Course
授業開講形態等
Lecture format, etc.
Face-to-face
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)