Hiroshima University Syllabus

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Academic Year 2022Year School/Graduate School School of Engineering
Lecture Code K0205050 Subject Classification Specialized Education
Subject Name 応用数理A
Subject Name
オウヨウスウリ A
Subject Name in
Engineering Mathematics A
シバタ テツタロウ
Campus Higashi-Hiroshima Semester/Term 3rd-Year,  First Semester,  1Term
Days, Periods, and Classrooms (1T) Weds1-2,Thur1-2:ENG 218
Lesson Style Lecture Lesson Style
(More Details)
Face to Face and Online(0n-demand) or Face-to-face only 
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 3 grade, Cluster I, II, IV
Keywords Functional, Eigenvalue problems, Variational problems  
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Criterion referenced
Program of Mechanical Systems Engineering
(Abilities and Skills)
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

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 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
The study of the following subjects

(1) Euler equation
(2) Functional
(3) Eigenvalue problems
Class Schedule lesson1 Basic Extremal problems
lesson2 Applied Extremal problems
lesson3 Constrained extremal problems
lesson4 Functional and basic variational problems
lesson5 Fundamental Euler-Lagrange equations
lesson6 Euler-Lagrange equations-applications
lesson7 Typical examples of Variationa problems
lesson8 Examples of Variationa problems--secona variation  
lesson9 Basic variational problems in eingineering and physics
lesson10 Applied variational problems in eingineering and physics
lesson11 Sturm-Liouville problems
lesson12 Eigenvalue problems in ODE
lesson13 Variational problems and differential equations  
lesson14 Variational methods and its application to the radial solution of partial differential equations
lesson15 Variational methods and its application to partial differential equations

Examination or reports 
Prints, Audio Matererails, Bb9, etc. 
PC or AV used in
(More Details) Black board, Audio Materiails 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Solve the excerses given in the lectures.  
Grading Method Examination, Reports, etc.  
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
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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