Hiroshima University Syllabus

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Japanese
Academic Year 2024Year School/Graduate School School of Science
Lecture Code HB170000 Subject Classification Specialized Education
Subject Name 解析学D演習
Subject Name
(Katakana)
カイセキガクDエンシュウ
Subject Name in
English
Exercises in Analysis D
Instructor NAITO YUKI
Instructor
(Katakana)
ナイトウ ユウキ
Campus Higashi-Hiroshima Semester/Term 3rd-Year,  Second Semester,  3Term
Days, Periods, and Classrooms (3T) Weds9-10,Fri1-2:SCI E209
Lesson Style Seminar Lesson Style
(More Details)
 
Blackboard is used. Sometime, prints are given. Basically, face-to-face style are used. 
Credits 2.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 3 : Undergraduate High-Intermediate
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students Junior students of department of mathematics in faculty of science
Keywords Ordinary differential equations, Initial value problems, Iteration method, Fourier series, heat equations the Dirichlet boundary problems.  
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students)
 
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students)
Mathematics
(Abilities and Skills)
・To acquire basic mathematical abilities (Ability to understand concepts, calculation ability, argumentation ability).
・To acquire skills to formulate and solve mathematical questions. 
Class Objectives
/Class Outline
This course is given for learning qualitative theories of ordinary differential equations (= ODEs). The contents consist of the fundamental subjects of ODEs, for examples, "integration of ODEs", "Existence and uniqueness of solutions for ODEs" and "stabilities". Furhter, to construct solutions for the Dirichlet problems of the heat equations, theory of Fourier series is applied.  
Class Schedule lesson1 Basic knowledge of ODEs 1
lesson2 ODEs solved by integrations 1
lesson3 ODEs solved by integrations 2
lesson4 ODEs with constant coefficients
lesson5 Linear ODEs of second order
lesson6 Existence and uniqueness of the solutions of ODEs
lesson7  the midterm examination (It is just a plan. )  
lesson8 Systems of linear ODEs of first order
lesson9 Systems of linear ODEs of first order with constant coeffiients
lesson10 Exponential of matrix
lessson 11 Fourie series I
lesson12  Fourie series II
lesson13 Fourie series III
lesson14 How to solve partial differential equations by Fourier series 1
lesson15 How to solve partial differential equations by Fourier series 2

Report

The proposed plan of the course may change when it is better for participants understandings. In some cases, lecture and exercise are changed each other if the instructors have to do that. Please accept these changes.    
Text/Reference
Books,etc.
Textbooks are not fixed. Any book entitled "Ordinary differential equations" is good for your textbook if you are interested in it. 
PC or AV used in
Class,etc.
 
(More Details) Blackboards and projectors are usually used. Copied documents are also used.  
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
You need to make preparations and revisions for each lessons. P 
Requirements  
Grading Method Grading is mainly based on the results of the midterm and the end of term examinations. The imposed quizzes in the classes and the reports as homework are also into consideration for estimation of the grade. 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Message If your score of the midterm exam., do not give up and continue studying the contents of the course. You also keep in mind studying hard even if you get good results for the exam..  
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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