Course title
N14100001
Linear Algebra 1

 SHIMIZU Kenichi Click to show questionnaire result at 2019

MATSUURA Kei Click to show questionnaire result at 2019
Course description
This is a course on linear algebra. Students will learn about basic matrix operations, inverse matrix, how to solve simultaneous linear equations by Gaussian elimination, diagonalization of 2x2 matrices.
Purpose of class
The object of this course is to be able to perform basic matrix operations and to be able to solve simultaneous linear equations by Gaussian elimination.
Goals and objectives
  1. To be able to basic operations for matrix
  2. To be able to solve simultaneous linear equations by Gaussian elimination and to understand relation between type of solution and rank of the coefficient matrix.
  3. To be able to diagonalize 2x2 matrices.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Complex numbers and the complex plane Review of complex numbers 150minutes
2. Lines and planes in R3 Review of the last lecture 200minutes
3. Matrix operations (1) Summation, subtraction, scalar multiplication, multiplication. Review of the last lecture 200minutes
4. Matrix operations (1) Inverse matrix, block operations Review of the last lecture 200minutes
5. Matrix and linear transform Review of the last lecture 200minutes
6. Applications of matrices (1) Review of the last lecture 200minutes
7. Applications of matrices (2) Review of the above 200minutes
8. Simultaneous linear equations (1) Gaussian elimination Review of the last lecture 200minutes
9. Simultaneous linear equations (2) solutions, rank Review of the last lecture 200minutes
10. Computing the inverse matrix Review of the last lecture 200minutes
11. Diagonalization of 2x2 matrices Review of the last lecture 200minutes
12. Diagonalization of 2x2 real symmetric matrices Review of the last lecture 200minutes
13. Applications of diagonalization of 2x2 matrices (1) Review of the last lecture 200minutes
14. Applications of diagonalization of 2x2 matrices (2) Review of the above 200minutes
Total. - - 2750minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Review Reports Total.
1. 10% 10% 20%
2. 20% 10% 30%
3. 10% 10% 20%
4. 20% 10% 30%
Total. 60% 40% -
Evaluation method and criteria
Evaluated by scores of review homework assigned at almost each lectures (60%), and some reports (40%).
Textbooks and reference materials
鈴木達夫・穴太克則『講義：線形代数』(学術図書出版社)
Prerequisites
Calculation of vectors
Office hours and How to contact professors for questions
  • 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 N/A
Education related SDGs:the Sustainable Development Goals
    Last modified : Sat Mar 19 00:04:14 JST 2022