Hiroshima University Syllabus

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Academic Year 2022Year School/Graduate School School of Engineering
Lecture Code K0207051 Subject Classification Specialized Education
Subject Name 応用数理C
Subject Name
オウヨウスウリ C
Subject Name in
Engineering Mathematics C
シバタ テツタロウ
Campus Higashi-Hiroshima Semester/Term 2nd-Year,  Second Semester,  4Term
Days, Periods, and Classrooms (4T) Thur1-2,Fri3-4:ENG 220
Lesson Style Lecture Lesson Style
(More Details)
Face-to-face or Online (on-demand) and Face-to-Face 
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 I
Keywords Holomorphic functions,   Comformal mapping, Cauchy's integral theorem and formula, Residue
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
This course is set in one of the applied mathematics required to understanding the engineering. 
Criterion referenced
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. 
Class Objectives
/Class Outline
We shall give the fundamental concepts in complex analysis and illustrate their applications to engineering and physics. The students will be able to calculate with complex numbers and understand the properties of functions.
Class Schedule lesson1 Complex numbers and complex plane
lesson2 Complex plane and complex functions
lesson3 Limit, continuity and derivative of complex functions
lesson4 Holomorphic functions and Cauchy-Riemann equations
lesson5 Properties of holomorphic functions I
lesson6 Basic holomorphic functions
lesson7 Complex integrals
lesson8 Cauchy Integral theorems
lesson9 Application of Cauchy Integral theorems
lesson10 Cauchy's integral formula
lesson11 Taylor series of holomorphic functions
lesson12 Properties of holomorphic functions
lesson13 Laurent series and residue theorem
lesson14 Applications of residue theorem
lesson15 Application to integral 
教科書:藤本淳夫著 複素解析学概説<改訂版> 培風館  
PC or AV used in
(More Details) The textbook 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 or the result of the final exam. 
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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