学部・大学院区分
Undergraduate / Graduate		理学部
時間割コード
Registration Code		0683060
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
授業形態
Course style		演習
Seminar
学科・専攻
Department / Program
G30 All program
必修・選択
Compulsory / Selected
See the “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
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
Course Prerequisites
High-school level mathematics. If you take Linear Algebra I you should also attend this course.
関連する科目
Related Courses
None
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.
不可(F)と欠席(W)の基準
Criteria for "Fail (F)" & "Absent (W)" grades
Getting less than 50% in the Total grade
参考書
Reference Book
Otto Bretscher: Linear Algebra with Applications, fourth edition, Pearson 2009.
ISBN: 978-0-13-600926-9
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_2024.html
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.
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.
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)