Subject Title

  線形代数Ⅰ及び演習
   Linear AlgebraⅠ and Recitation

Subject Code

0013

Instructor

  Hiroshi Matsuzoe

The subject reflating work experience

Department and Grade Year

  Faculty of Engineering , 1st-year,

Subject Category

   Fundamentals of natural Science

Credit

3

Semester/Day/Period

  First Semester/Wednesday/1-2 Thursday/1-2

Classtype

Lecture

Class Method

  ☑ Face to face (Some classes might be conducted online)
  ☐ Full On-demand expect for final exam【Full On-demand】
  ☐ Full Online【Conduct classes in a simultaneous interactive online format】
  ☐ More than half of classes will be conducted online【1/2 online】

・Classes with ✓ in the "Full On-demand" or "1/2 online" will be counted toward the 60 credit limit for online classes.
・There is no maximum number of credits for online classes in the Graduate School.

Relations to Policy on Degree Certification and Awarding Degree

☐ 1. The ability to understand people, culture, and society and to observe them from a technological perspective with a strong sense of mission and responsibility, as well as high ethical standards for linking technology with a new lifestyle
☑ 2. Fundamental mathematical knowledge and scientific discipline for understanding and manipulating natural phenomena
☐ 3. Communication skills and logical reasoning skills to engage in dialog with various people both inside and outside Japan
☐ 4. （Advanced Engineering Education Program only）Basic knowledge and technology that form the core of the field of specialization, the ability to solve problems using these, and the ability to acquire new knowledge and technology
☐ 4. （Creative Engineering Program only）Basic knowledge that forms the core of the field of specialization, and the ability to create new values from a variety of perspectives to relate knowledge and technology in other fields

Subject Description and Objectives

授業の目的：　ベクトル・行列・行列式について学び、特にこれらの計算法を習得すること。 線形代数は自然科学・工学を記述する言語として不可欠であるが、ベクトル・行列・行列式は線形代数における基礎的概念である。

達成目標：　ベクトル・行列・行列式についての基本的な計算に習熟し、その背景にある理論の裏付けを理解し、線形代数 II をはじめとする数学全般への基礎を固める。

Contents

１～３．　数ベクトル：数ベクトル、直線と平面
［達成目標１：数ベクトルの基本概念を理解し、空間における直線・平面を扱えるようになること］

４～１５．　行列：行列とベクトル、行列の積、基本変形、行列の階数、連立１次方程式、正則行列、逆行列
［達成目標２：行列の計算法と連立１次方程式の解法を習得すること］

中間評価（適宜、適切な時期に行う）

１６～２２．　行列式：行列式とその基本性質、行列式の展開、行列式の計算、積の行列式、図形と行列式
［達成目標３：行列式に関する基本概念を理解し、その計算法を習得すること］

２３．　期末試験
２４．　試験の解説

なお、本計画は１年次共通計画であるが、実施に際しては理解度等に応じて、順序を含めて若干の差異がありえる。

Evaluation Method

Evaluation Criteria

S　100-90 Beyond the goal
A　89-80 Reached the goal enough
B　79-70 Reached the goal
C　69-60 Reached the goal in general
D　59 or below Not reached the goal

 

Self Preparation and Review, and Other Instructions

Textbook