| Academic Year |
2024Year |
School/Graduate School |
School of Engineering |
| Lecture Code |
K0205050 |
Subject Classification |
Specialized Education |
| Subject Name |
応用数理Ａ |
Subject Name
（Katakana） |
オウヨウスウリ A |
Subject Name in
English |
Engineering Mathematics A |
| Instructor |
SHIBATA TETSUTARO |
Instructor
(Katakana) |
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
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | 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 |
Text/Reference
Books,etc. |
Prints, Audio Matererails, Bb9, etc. |
PC or AV used in
Class,etc. |
|
| (More Details) |
Black board, Audio Materiails |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Solve the excerses given in the lectures. |
| Requirements |
|
| Grading Method |
Evaluation: Examination, Reports, etc. Score is 60&or more: successful |
| 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. |