Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2022Year School of Informatics and Data Science KA120001 Specialized Education 微分方程式 ビブンホウテイシキ Differential Equations MUKAIDANI HIROAKI ムカイダニ　ヒロアキ Higashi-Hiroshima 2nd-Year,  First Semester,  1Term (1T) Mon9-10,Weds9-10：ENG 218 Lecture Lecture using black board 2.0 B : Japanese／English 1 : Undergraduate Introductory 25 : Science and Technology 01 : Mathematics/Statistics Second grade Ordinary differential equations, Initial value problems, Separable differential equations, Linear equations, Differential operator, Power series solutions, Stability analysis, Uniqueness and existence ・The students should take a course of calculus before taking this lecture. Informatics and Data Science Program（Knowledge and Understanding）・I1. Knowledge and ability required for collecting and processing high-dimensional data using information processing technologies based on scientific logic, while understanding the theoretical system that forms the basis of informatics. The concept and the how to solve of first order differential equations are discussed. lesson 1 Guidance and Modelinglesson 2 First-order differential equations, Linear differential equations and its application to practical systemslesson 3 First-order differential equation, Separation of variables and its applicationlesson 4 First-order differential equation, Homogeneous form, change of variableslesson 5 First and second-order differential equation Clairaut's equation, orthogonal linelesson 6 Wronskian, constant variation methodlesson 7 Higher-order constant coefficient linear differential equationlesson 8 Differential operatorlesson 9 Stability theory of differential equationslesson 10 Laplace transform, Basicslesson 11 Application of Laplace transform Volterra type integral equationlesson 12 Complete differential equationlesson 13 Simultaneous differential equationslesson 14 Series solution methodlesson 15 Solution existence condition, uniqueness, Lipschitz condition lesson 16: Examination 教科書:石川恒男，例題と演習で学ぶ微分方程式 Text book and printed materials For each lecture, the review should be needed by reading the text book. Furthermore, the practical calculation and simulation would be helpful. Calculus and Linear Algebra are mandatory. Mini-tests (20%), Middle, and Final exam (80%) 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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