Course title
310032P21
Linear Algebra 1

 SHIMIZU Kenichi
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
Software Course DP-1・3・1 自然科学、情報技術に関する基礎的知識を理解し、利用できる。
Purpose of class
The object of this course is to be able to perform basic matrix operations, solve simultaneous linear equations by Gaussian elimination, compute the determinant and explain and use basic properties of the determinant.
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, and basic properties of the determinant.
Goals and objectives
  1. To be able to basic operations for matrix
  2. To be able to solve simultaneous linear equations by Gaussian elimination, explain relation between the degree of freedom and rank of the coefficient matrix.
  3. To be able to diagonalize 2x2 matrices
  4. To be able to compute the determinant
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Mid-term exam Final exam Homework Total.
1. 20% 10% 5% 35%
2. 20% 10% 5% 35%
3. 0% 10% 5% 15%
4. 0% 10% 5% 15%
Total. 40% 40% 20% -
Evaluation method and criteria
Evaluated as indicated in ”Course Outcomes” section. A score of 60 or more out of 100 points is required to pass this course. To pass this course, students should be able to perform basic operations for matrices, Gaussian elimination method, and computation of determinants.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Vectors and vector operations Review of calculation of vectors 200minutes
2. Equations of lines and planes Review of the last lecture 180minutes
3. Matrix operations Review of the last lecture 180minutes
4. Block matrices and matrix partitioning Review of the last lecture 180minutes
5. Systems of linear equations and matrices Review of the last lecture 180minutes
6. Row reduction of matrices Review of the last lecture 180minutes
7. Mid-term exam and review Review of the above 240minutes
8. Solving systems of linear equations Review of the last lecture 180minutes
9. Computing inverse matrices Review of the last lecture 180minutes
10. Definition of determinants Review of the last lecture 180minutes
11. Properties of determinants Review of the last lecture 180minutes
12. Cofactor expansion and its applications Review of the last lecture 180minutes
13. Eigenvectors and diagonalization Review of the last lecture 180minutes
14. Final exam and review Review of the above 240minutes
Total. - - 2660minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in/outside the class.
Textbooks and reference materials
線形代数学講義[増補版]　木田雅成著　培風館　ISBN978-4-563-01251-9　定価(2,750円＋税)
Prerequisites
Basic knowledge of vectors and complex numbers is assumed.
Office hours and How to contact professors for questions
  • After class
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Non-social and professional independence development course
Active-learning course
N/A
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 : Tue Jul 21 04:02:04 JST 2026