Hiroshima University Syllabus

Back to syllabus main page
Japanese
Academic Year 2024Year School/Graduate School School of Science
Lecture Code HB360000 Subject Classification Specialized Education
Subject Name 解析学特殊講義
Subject Name
(Katakana)
カイセキガクトクシュコウギ
Subject Name in
English
Topics in Analysis
Instructor NAITO YUKI
Instructor
(Katakana)
ナイトウ ユウキ
Campus Higashi-Hiroshima Semester/Term 4th-Year,  Second Semester,  4Term
Days, Periods, and Classrooms (4T) Tues7-8,Thur5-6:SCI B301
Lesson Style Lecture Lesson Style
(More Details)
 
Lecture 
Credits 2.0 Class Hours/Week   Language of Instruction B : Japanese/English
Course Level 6 : Graduate Advanced
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students 1st year of master course
Keywords Fourier series, Partial Differential Equations 
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
(Knowledge and Understanding)
・Acquiring knowledge and vision on advanced theories as an extension of core theory of modern mathematics. 
Class Objectives
/Class Outline
In this course, lectures on Fourier series and fundamentals of second order linear partial differential equations are given. 
Class Schedule lesson1 Fourier series
lesson2 Fourier sine series, cosein series
lesson3 Complex Fourier series
lesson4 Bessel inequality
lesson5 Mean-square convergence
lesson6 Convergence of Fourier series
lesson7 Separation of variables for the heat and wave equations
lesson8 eparation of variablesfor the Laplace equations
lesson9 Heat equations I
lesson10 Heat Equations II
lesson11 Heat Equations III
lesson12 Laplace Equations I
lesson13 Laplace Equations II
lesson14 Wave Equations I
lesson15 Wave Equations II

report 
Text/Reference
Books,etc.
Text book is not fixed.  
PC or AV used in
Class,etc.
 
(More Details) Black bard is only used. 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
Please consider what is the theme on each day’s course. 
Requirements  
Grading Method Grading is mainly based on the report presented in the lase part of the course. This is for participants who attend the course at least 2/3 times. For participants not satisfying the rule, the examination should be done and good score is required. 
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. 
Back to syllabus main page