Hiroshima University Syllabus

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Japanese
Academic Year 2022Year School/Graduate School School of Informatics and Data Science
Lecture Code KA120001 Subject Classification Specialized Education
Subject Name 微分方程式
Subject Name
(Katakana)
ビブンホウテイシキ
Subject Name in
English
Differential Equations
Instructor MUKAIDANI HIROAKI
Instructor
(Katakana)
ムカイダニ ヒロアキ
Campus Higashi-Hiroshima Semester/Term 2nd-Year,  First Semester,  1Term
Days, Periods, and Classrooms (1T) Mon9-10,Weds9-10:ENG 218
Lesson Style Lecture Lesson Style
(More Details)
 
Lecture using black board 
Credits 2.0 Class Hours/Week   Language of Instruction B : Japanese/English
Course Level 1 : Undergraduate Introductory
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students Second grade
Keywords Ordinary differential equations, Initial value problems, Separable differential equations, Linear equations, Differential operator, Power series solutions, Stability analysis, Uniqueness and existence 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Program
・The students should take a course of calculus before taking this lecture. 
Criterion referenced
Evaluation
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.
 
Class Objectives
/Class Outline
The concept and the how to solve of first order differential equations are discussed.  
Class Schedule lesson 1 Guidance and Modeling
lesson 2 First-order differential equations, Linear differential equations and its application to practical systems
lesson 3 First-order differential equation, Separation of variables and its application
lesson 4 First-order differential equation, Homogeneous form, change of variables
lesson 5 First and second-order differential equation Clairaut's equation, orthogonal line
lesson 6 Wronskian, constant variation method
lesson 7 Higher-order constant coefficient linear differential equation
lesson 8 Differential operator
lesson 9 Stability theory of differential equations
lesson 10 Laplace transform, Basics
lesson 11 Application of Laplace transform Volterra type integral equation
lesson 12 Complete differential equation
lesson 13 Simultaneous differential equations
lesson 14 Series solution method
lesson 15 Solution existence condition, uniqueness, Lipschitz condition

lesson 16: Examination 
Text/Reference
Books,etc.
教科書:石川恒男,例題と演習で学ぶ微分方程式 
PC or AV used in
Class,etc.
 
(More Details) Text book and printed materials 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
For each lecture, the review should be needed by reading the text book. Furthermore, the practical calculation and simulation would be helpful.  
Requirements Calculus and Linear Algebra are mandatory.  
Grading Method Mini-tests (20%), Middle, and Final exam (80%) 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Message  
Other   
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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