Course title
401034001
Linear Algebra 2

 hirose sampei Click to show questionnaire result at 2018

nakagawa takahiro Click to show questionnaire result at 2018

horibe tadashi

KOBAYASHI Kazushi
Course description
Linear algebra is an algebraic and geometric theory of properties called linearity. In Linear Algebra 1, we focused on algebraic properties and learned about them.
In this class, students learn about linear algebra from a geometric standpoint, including vector spaces and linear mappings.
Purpose of class
The purpose of this class is to understand the geometric meaning of the content learned in Linear Algebra 1 and to be able to calculate it.
Goals and objectives
  1. To be able to verify the basic concepts of plane vectors and space vectors with concrete examples.
  2. To be able to verify the basic concepts of vector spaces with concrete examples.
  3. To be able to verify the basic concepts of linear transformation with concrete examples.
  4. To be able to verify the geometric meaning of linear transformations with concrete examples.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Plane and space vectors, collinearity condition and equation of line Read through the textbook p.78-p.84, p.92-p.95 before class. Solve exercises after class. 190minutes
2. Inner product, outer product and equation of plane Read through the textbook p.85-p.92, p.95-p.98 before class. Solve exercises after class. 190minutes
3. Linear independence Read through the textbook p.100-p.108 before class. Solve exercises after class. 190minutes
4. Basis and dimension Read through the textbook p.108-p.112 before class. Solve exercises after class. 190minutes
5. Kernel space and linear subspace Read through the textbook p.112-p.116 before class. Solve exercises after class. 190minutes
6. Orthonormal basis Read through the textbook p.116-p.123 before class. Solve exercises after class. 190minutes
7. Midterm examination and its explanation Preparation of midterm examination. 190minutes
8. Linear mappings and their matrix representation Read through the textbook p.135-p.139 before class. Solve exercises after class. 190minutes
9. Inverse transformation and change of basis Read through the textbook p.139-p.145 before class. Solve exercises after class. 190minutes
10. Geometric meaning of linear transformations 1 Read through the handouts before class. Review after class. 190minutes
11. Geometric meaning of linear transformations 2 Read through the handouts before class. Review after class. 190minutes
12. Geometric meaning of linear transformations 3 Read through the handouts before class. Review after class. 190minutes
13. Geometric meaning of linear transformations 4 Read through the handouts before class. Review after class. 190minutes
14. Final examination and their explanations Preparation of final examination. 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Midterm examination Final examination Reports and little examinations Total.
1. 10% 7% 17%
2. 20% 13% 33%
3. 10% 7% 17%
4. 20% 13% 33%
Total. 30% 30% 40% -
Evaluation method and criteria
Midterm examination(30%), Final examination(30%), Reports and little examinations(40%)
Textbooks and reference materials
Textbook: 新基礎コース線形代数、朝倉史興、高橋敏雄、吉松屋四郎、学術図書出版
Prerequisites
Review Linear Algebra 1
Office hours and How to contact professors for questions
  • 30 minutes after class
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Thu Sep 30 04:04:04 JST 2021