| Academic Year |
2024Year |
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 |
SANO MEGUMI |
Instructor
(Katakana) |
サノ メグミ |
| 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
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 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 |
Text/Reference
Books,etc. |
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
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 |
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. |