Hiroshima University Syllabus

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Academic Year 2022Year School/Graduate School School of Engineering
Lecture Code K0230020 Subject Classification Specialized Education
Subject Name 応用数学総合
Subject Name
Subject Name in
Synthesis of Applied Mathematics
ツヅキ ユタカ
Campus Higashi-Hiroshima Semester/Term 2nd-Year,  Second Semester,  3Term
Days, Periods, and Classrooms (3T) Fri3-6:ENG 219
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
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 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  
Some materials are prepared.  
PC or AV used in
(More Details) blackboard and other materials 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Please look back over the examples of the subject of each lecture, and brush up on it. 
Grading Method The course unit is decided by comprehensive evaluation of the report and the result of the final exam or reports. 
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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