Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2024Year Liberal Arts Education Program 63081001 Foundation Courses 線形代数学演習II[1理数] センケイダイスウガクエンシユウ２ Seminar in Linear AlgebraII ISHIHARA KAI イシハラ　カイ Higashi-Hiroshima 1st-Year,  Second Semester,  3Term (3T) Mon3-4,Thur5-6：IAS K103 Seminar Seminar 1.0 J : Japanese 1 : Undergraduate Introductory 25 : Science and Technology 01 : Mathematics/Statistics 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 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 with the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development. 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. We learn abstract linear spaces, eigenvalues and eigenvectors. Then, we study applications of eigenvalues and eigenvectors. lesson1 Review: Gauss Elimination and Determinantlesson2 Calculation of Determinantslesson3 Determinants of various matriceslesson4 Abstract Linear Spacelesson5 Axiomslesson6 Basislesson7 Sublinear Spaceslesson8 Image and Kernellesson9 Mid-semester summarylesson10 Eigenvalues and Eigenvectorslesson11 Diagonalizationlesson12 Applications of eivenvectors (1) lesson13 Applications of eivenvectors (2) lesson14 Cayley-Hamilton Theoremlesson15 SummaryThe small examinations may be given. Senkeidaisuugakunyumon (Tokyo Tosho) Shun-ichi Kimura Textbook Try to review each exercise. Based on the lecture of Linear AlgebraII The appraisal standard is explained in the courses. 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.
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