Course title
401016001
Linear Algebra 1

 yamazawa hiroshi Click to show questionnaire result at 2019

hirose sampei Click to show questionnaire result at 2019

horiuchi tomohiro
Course description
Linear algebra is an algebraic and geometric theory of properties called linearity. This method is the basis of various fields such as engineering and statistics, and the problem in these fields is often reduced to a problem of linear algebra.
In this class, students learn about matrices and determinants with the goal of solving system of linear equations, and the use of matrices in the field of statistics. Students also learn about diagonalization.
Purpose of class
The purpose of this class is to understand the concept of matrices and determinants, and to be able to calculate them.
Goals and objectives
  1. To be able to explain how to use matrices in the field of statistics.
  2. To be able to calculate operations for matrices.
  3. To be able to solve system of linear equations.
  4. To be able to calculate determinants.
  5. To be able to calculate diagonalization.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Operations for matrices Read through the textbook p.28-p.32 before class. Solve exercises after class. 190minutes
2. Quadratic Matrices and applications of matrices to statistics Read through the textbook p.1-p.7 before class. Solve exercises after class. 190minutes
3. Transpose and inverse matrix Read through the textbook p.32-p.35 before class. Solve exercises after class. 190minutes
4. Elementary row operations Read through the textbook p.10-p.16 before class. Solve exercises after class. 190minutes
5. Row echelon form and solving system of linear equations Read through the textbook p.16-p.26 before class. Solve exercises after class. 190minutes
6. Calculation of inverse matrix Read through the textbook p.39-p.42 before class. Solve exercises after class. 190minutes
7. Midterm examination and its explanation Preparation of midterm examination. 190minutes
8. Permutations Read through the textbook p.47-p.53 before class. Solve exercises after class. 190minutes
9. Definition and basic properties of determinants Read through the textbook p.53-p.63 before class. Solve exercises after class. 190minutes
10. Expansion of determinants and Cramer's rule Read through the textbook p.63-p.71 before class. Solve exercises after class. 190minutes
11. Calculation of determinants Read through the textbook p.53-p.71 before class. Solve exercises after class. 190minutes
12. Eigenvalues and eigenvectors Read through the textbook p.153-p.158 before class. Solve exercises after class. 190minutes
13. Diagonalization of matrices Read through the textbook p.158-p.163 before class. Solve exercises 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. 0%
2. 17% 25% 42%
3. 3% 5% 8%
4. 13% 20% 33%
5. 7% 10% 17%
Total. 20% 20% 60% -
Evaluation method and criteria
Midterm examination(20%), Final examination(20%), Reports and little examinations(60%)
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 high school mathematical contents
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 : Sun Mar 21 17:09:06 JST 2021