Japanese

Academic Year	2024Year	School/Graduate School	School of Engineering
Lecture Code	K0230020	Subject Classification	Specialized Education
Subject Name	応用数学総合
Subject Name （Katakana）	オウヨウスウガクソウゴウ
Subject Name in English	Synthesis of Applied Mathematics
Instructor	TSUZUKI YUTAKA
Instructor (Katakana)	ツヅキ　ユタカ
Campus	Higashi-Hiroshima	Semester/Term	2nd-Year,  Second Semester,  3Term
Days, Periods, and Classrooms	(3T) Fri3-6：ENG 218
Lesson Style	Lecture	Lesson Style (More Details)
			blackboard or Online (on-demand)
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	2 grade, Cluster II
Keywords	series, linear space, eigenvalues and canonical form for matrix, linear ordinary differential equation, multiple and improper integrals
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 Electronic Devices and Systems （Abilities and Skills） ・Mathematical methods required for professionals in electronics 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 objective of the course is to survey and to relearn a number of subjects in applied mathematics from the view point of linearity of mathematical objects or the so-called linear structure. The material we deal with includes matrix algebra, linear ordinary differential equations, multiple and improper integrals. Emphasis is on their applications in engineering.
Class Schedule	lesson1. Series lesson2.  Power series lesson3. Linear spaces lesson4. Linear differential equations lesson5. Exponential function for matrices lesson6.  Exponential function for diagonalizable matrices lesson7.  Canonical form for quadratic matrices lesson8. Canonical form for cubic matrices lesson9. Iterated integrals and coordinate transformations lesson10. Area for revolution surfaces lesson11. Area for general surfaces lesson12. Triple integrals lesson13. Calculation of triple integrals lesson14. Improper integrals lesson15. Gamma and Beta functions Final exam or reports
Text/Reference Books,etc.	Some materials are prepared.
PC or AV used in Class,etc.
	(More Details)	blackboard and other materials
Learning techniques to be incorporated
Suggestions on Preparation and Review	Please look back over the examples of the subject of each lecture, and brush up on it.
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.