Liberal Arts Education Program
|Subject Name in
1st-Year, Second Semester, 3Term
|Days, Periods, and Classrooms
(3T) Weds3-4,Fri5-6：IAS K109
|Language of Instruction
Science and Technology
|First Year Students
Vectors, Matrices, Determinants, Cofactor Matrices, Abstract Linear Algebra, Basis, Sub Linear Space, Dual Space, Eigenvalue, Eigenvector, Diagonalization, Upper Triangular Matrix, Cayley-Hamilton theorem, Constant coefficient ordinary differential equation
|Special Subject for Teacher Education
|Class Status within
Liberal Arts Education
|As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them w
|To understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.
|One can define additions and scalar multiplications for geometric vectors, without reference to the coordinates. A set V is called Abstract Linear Space when addition and scalar multiplication are defined, and identified with the number linear space once a basis (therefore a coordinate) is fixed. We learn how to treat Abstract Linear Space. Also we learn how to compute Eigenvalues, Eigenvectors and how to use them.
|lesson1 Review: Gauss Elimination and Determinant
lesson2 Calculation of Determinants
lesson3 Determinants of various matrices
lesson4 Abstract Linear Space
lesson7 Sublinear Spaces
lesson8 Image and Kernel
lesson10 Eigenvalues and Eigenvectors
lesson12 Applications of eivenvectors (1)
lesson13 Applications of eivenvectors (2)
lesson14 Cayley-Hamilton Theorem
lesson15 Final Exam
Midterm and Final Exam. Also some reports
|Senkeidaisuugakunyumon (Tokyo Tosho) Shun-ichi Kimura
|PC or AV used in
|Learning techniques to be incorporated
|Review every lecture carefully. Students are supposed to understand the previous lectures.
|Based on the lecture of Linear AlgebraI
|The grade will be based on final examination, midterm examination, and/or assignments.
|Summary of Practical Experience and Class Contents based on it
|Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.