K0207052 Engineering Mathematics C

Hiroshima University Syllabus

Japanese

Academic Year 2022Year School/Graduate School School of Engineering

Lecture Code K0207052 Subject Classification Specialized Education

Subject Name 応用数理Ｃ

Subject Name
（Katakana）オウヨウスウリ　C

Subject Name in
English Engineering Mathematics C

Instructor IKEHATA MASARU,SHIBATA TETSUTARO

Instructor
(Katakana) イケハタ　マサル,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：Online

Lesson Style Lecture Lesson Style
(More Details) 　

Lecture

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

Keywords Holomorphic functions,   Comformal mapping, Cauchy's integral theorem and formula, Residue

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program This course is set in one of the applied mathematics required to understanding the engineering.
Criterion referenced
Evaluation 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

assignment and final assiginment

Text/Reference
Books,etc. 「複素解析」（矢野健太郎・石原　繁共著,裳華房）

PC or AV used in
Class,etc. 　

(More Details) The textbook 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 assignment and final assignment.  To  pass,  students must earn at least 60 points out of 100

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.

Academic Year	2022Year	School/Graduate School	School of Engineering
Lecture Code	K0207052	Subject Classification	Specialized Education
Subject Name	応用数理Ｃ
Subject Name （Katakana）	オウヨウスウリ　C
Subject Name in English	Engineering Mathematics C
Instructor	IKEHATA MASARU,SHIBATA TETSUTARO
Instructor (Katakana)	イケハタ　マサル,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：Online
Lesson Style	Lecture	Lesson Style (More Details)
Lecture
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
Keywords	Holomorphic functions, Comformal mapping, Cauchy's integral theorem and formula, Residue
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program	This course is set in one of the applied mathematics required to understanding the engineering.
Criterion referenced Evaluation	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 assignment and final assiginment
Text/Reference Books,etc.	「複素解析」（矢野健太郎・石原　繁共著,裳華房）
PC or AV used in Class,etc.
(More Details)	The textbook 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	assignment and final assignment. To pass, students must earn at least 60 points out of 100
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.

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