K0207050 Engineering Mathematics C

Hiroshima University Syllabus

Japanese

Academic Year 2025Year School/Graduate School School of Engineering

Lecture Code K0207050 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 KAWASITA WAKAKO

Instructor
(Katakana) カワシタ　ワカコ

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

Face-to-face classes are the basic method.
Online (on-demand) classes may be held depending on the situation.

Credits 2.0 Class Hours/Week 4 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 function, Cauchy's integral theorem and formula, Taylor expansion, Laurent expansion, Residue

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) This course is set in one of the applied mathematics required to understanding the engineering.
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.

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 Holomorphic functions and Cauchy-Riemann equations
lesson4 Basic holomorphic functions (1)
lesson5 Basic holomorphic functions (2)
lesson6 Complex integral

lesson7 Cauchy's theorem
lesson8 Cauchy's integral formula
lesson9 Taylor series of holomorphic functions
lesson10 Laurent series
lesson11 Pole and residue
lesson12 Applications of residue theorem
lesson13 Application to real definite integrals (1)
lesson14 Application to real definite integrals (2)
lesson15 Application to real definite integrals (3)

Final exam scheduled
(Final report depending on the situation)

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

PC or AV used in
Class,etc. Text, Handouts, moodle

(More Details) The textbook and other materials
Moodle will be used for distributing lecture materials and submitting assignments.

Learning techniques to be incorporated Post-class Report

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.

Academic Year	2025Year	School/Graduate School	School of Engineering
Lecture Code	K0207050	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	KAWASITA WAKAKO
Instructor (Katakana)	カワシタ　ワカコ
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
Face-to-face classes are the basic method. Online (on-demand) classes may be held depending on the situation.
Credits	2.0	Class Hours/Week	4	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 function, Cauchy's integral theorem and formula, Taylor expansion, Laurent expansion, Residue
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)	This course is set in one of the applied mathematics required to understanding the engineering.
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.
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 Holomorphic functions and Cauchy-Riemann equations lesson4 Basic holomorphic functions (1) lesson5 Basic holomorphic functions (2) lesson6 Complex integral lesson7 Cauchy's theorem lesson8 Cauchy's integral formula lesson9 Taylor series of holomorphic functions lesson10 Laurent series lesson11 Pole and residue lesson12 Applications of residue theorem lesson13 Application to real definite integrals (1) lesson14 Application to real definite integrals (2) lesson15 Application to real definite integrals (3) Final exam scheduled (Final report depending on the situation)
Text/Reference Books,etc.	教科書：「複素解析」（矢野健太郎・石原　繁共著, 裳華房）
PC or AV used in Class,etc.	Text, Handouts, moodle
(More Details)	The textbook and other materials Moodle will be used for distributing lecture materials and submitting assignments.
Learning techniques to be incorporated	Post-class Report
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.

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