Hiroshima University Syllabus

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Japanese
Academic Year 2022Year School/Graduate School School of Engineering
Lecture Code K0203040 Subject Classification Specialized Education
Subject Name 応用数学III
Subject Name
(Katakana)
オウヨウスウガク 3
Subject Name in
English
Applied Mathematics III
Instructor IKEHATA MASARU,SHIBATA TETSUTARO
Instructor
(Katakana)
イケハタ マサル,シバタ テツタロウ
Campus Higashi-Hiroshima Semester/Term 2nd-Year,  First Semester,  2Term
Days, Periods, and Classrooms (2T) Mon1-2,Thur5-6:Online
Lesson Style Lecture Lesson Style
(More Details)
 
Lecture 
Credits 2.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 2 : Undergraduate Low-Intermediate
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students
Keywords Fourier Series, Fourier Integrals, Fourier Transform, Partial Differential Equations, Separation of Variables 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Program
 
Criterion referenced
Evaluation
Program of Mechanical Systems Engineering
(Abilities and Skills)
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

Program of Transportation Systems
(Knowledge and Understanding)
・Mathematical and mechanical subjects: To understand basic knowledge of mathematical dynamical system, which is essential knowledge for engineers and researchers.
(Abilities and Skills)
・Mathematical and mechanical subjects: Ability to create questions and analyze by utilizing basic knowledge of mathematical dynamical systems.

Program of Material Processing
(Abilities and Skills)
・Acquiring basis of mechanical system, material creation and processing engineering steadily, and being able to apply

Program of Energy Transform Engineering
(Abilities and Skills)
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

Program of Electrical,Systems and Information Engineering
(Abilities and Skills)
・Mathematical methods required for professionals in electrical,  systems, and information engineering.

Program of Electronic Devices and Systems
(Abilities and Skills)
・Mathematical methods required for professionals in electronics engineering.

Program of Applied Chemistry
(Knowledge and Understanding)
・Wide range of basic knowledge on liberal arts and specialized education, and professional basic knowledge on chemistry.

Program of Chemical Engineering
(Abilities and Skills)
・Definite learning of basic chemistry and chemical engineering and cultivation of application ability
engineering basis.

Program of Biotechnology
(Knowledge and Understanding)
・Acquisition of basic and advanced knowledge relating to biotechnology and life science. (Target/Lecture class)

Program of Civil and Environmental Engineering
(Abilities and Skills)
・Ability to analyze  problems

Program of Architecture and Building Engineering
(Knowledge and Understanding)
・Understanding on learning basic engineering knowledge. (Being able to explain basic contents of mathematics, physics and information technology.  Being able to apply the basic contents to architecture and building engineering) 
Class Objectives
/Class Outline
Basics on Fourier Analysis and  Partial Differential Equations.  
 
Class Schedule lesson1 Preparation for the Fourier Analysis and Its Introduction

lesson2 Fourier Series
lesson3 Computation of Fourier Series
lesson4 Fourier Sine Series and Cosine Series
lesson5 Complex Fourier  Series
lesson6 Approximation by Trigonometric Polynomials
lesson7 Fourier Integrals
lesson8 Fourier Sine Transformation and Cosine Transformation
lesson9 Fourier Transformation
lesson10 Properties of Fourier Transformation
lesson11 Introduction of the Wave Equation
lesson12 Initial- and Boundary-Value Problems for Wave Equation: Application of
Separation of Variables and Fourier Series

lesson13 D'Alembert's Solution of  the  Wave Equation
lesson14 Initial- and Boundary-Value Problems for Heat Equation: Application of Separation of Variables and Fourier Series
lesson15 Initial-Value Problem for Heat Equation: Application of Fourier Transformation

assignment and final assignment  
Text/Reference
Books,etc.
Fourier Analysis and Partial Differential Equations
in Advanced Engineering Mathematics by Erwin Kreyszig (Bafukan) 
PC or AV used in
Class,etc.
 
(More Details) Text book and printed materials. 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
Solve the excersise in the text 
Requirements  
Grading Method assignment and final assignment. To  pass,  students must earn at least 60 points out of 100 
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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