Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2023Year Liberal Arts Education Program 63071002 Foundation Courses 線形代数学II[1理数] センケイダイスウガク２ Linear AlgebraII KIMURA SHIYUNICHI キムラ　シュンイチ Higashi-Hiroshima 1st-Year,  Second Semester,  3Term (3T) Weds3-4,Fri5-6：IAS K109 Lecture Lectures, Blackboard 2.0 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 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 Determinantlesson2 Calculation of Determinantslesson3 Determinants of various matriceslesson4 Abstract Linear Spacelesson5 Axiomslesson6 Basislesson7 Sublinear Spaceslesson8  Image and Kernellesson9 Midtermlesson10 Eigenvalues and Eigenvectorslesson11 Diagonalizationlesson12 Applications of eivenvectors (1) lesson13 Applications of eivenvectors (2) lesson14 Cayley-Hamilton Theoremlesson15 Final ExamMidterm and Final Exam.  Also some reports Senkeidaisuugakunyumon (Tokyo Tosho) Shun-ichi Kimura Textbook 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. 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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