Course title
線形代数学Ⅱ   [Linear Algebra Ⅱ]
Course category   Requirement   Credit 2 
Department   Year 2  Semester Fall 
Course type Fall  Course code 01MA0503
Instructor(s)
公文 雅之   [KUMON Masayuki]
Facility affiliation Graduate School of Agriculture Office   Email address

Course description
Linear algebra provides indispensable tools to analyze various mathematical phenomena appearing in engineering. In this course, the notion of a vector space and a linear map between two vector spaces will be introduced. We will learn various basic properties of a basis and the dimension of a vector space, and the image and the kernel of a linear map. We will also learn about an eigenvalue and an eigenvector, for deep understanding of linear algebra.
Expected Learning
The goals of this course are
(1) to understand vector spaces, linear maps, eigenvalues, eigenvectors, inner products and diagonalization, and
(2) to be capable of performing their practical calculations.
Course schedule
1. Vector spaces
2. Vector spaces and their subspaces
3. Linear independence and linear dependence
4. Maximum of linearly independent vectors
5. Bases and dimensions of vector spaces
6. Linear maps
7. Representation matrices of linear maps
8. Image and Kernel of linear maps
9. Inner products of vectors
10. Gram-Schmidt orthonormalization of vectors
11. Eigenvalues and eigenvectors
12. Diagonalization of square matrices
13. Orthonormalization and orthogonal matrices
14. Diagonalization of real symmetric matrices
15. Term examination
Prerequisites
Knowledge of the course of Linear Algebra I will be used in the lecture.
Required Text(s) and Materials
References
Miyake Toshitsune, “Nyuumon-Senkei- Daisuu”, Baifu-kan (in Jananese)
Assessment/Grading
Homework reports (30%), term examination (70%)
Message from instructor(s)
Course keywords
Vector space, Linear map, Linear independence and linear dependence, Basis, Dimension, Eigenvalues and eigenvectors, Diagonalization of real symmetric matrix
Office hours
Any questions are received by the open E-mail address:masayuki_kumon@[アットマーク]smile.odn.ne.jp
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Last update
9/14/2018 10:58:10 AM