| Academic Year |
2024Year |
School/Graduate School |
School of Integrated Arts and Sciences Department of Integrated Arts and Sciences |
| Lecture Code |
ANM12001 |
Subject Classification |
Specialized Education |
| Subject Name |
複素解析 |
Subject Name
（Katakana） |
フクソカイセキ |
Subject Name in
English |
Function Theory |
| Instructor |
NAGATO YASUSHI |
Instructor
(Katakana) |
ナガト ヤスシ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
2nd-Year, Second Semester, 4Term |
| Days, Periods, and Classrooms |
(4T) Thur1-4：IAS K102 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture-oriented class |
| 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 |
|
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | Integrated Arts and Sciences
（Knowledge and Understanding）
・Knowledge and understanding of the importance and characteristics of each discipline and basic theoretical framework. |
|---|
Class Objectives
/Class Outline |
The aim of classes is to acquire basic knowledge and skills about the complex analysis. |
| Class Schedule |
lesson1: Complex Numbers (1)
lesson2: Complex Numbers (2)
lesson3: Complex Functions (1)
lesson4: Complex Functions (2)
lesson5: Holomorphic Functions (1)
lesson6: Holomorphic Functions (2)
lesson7: Riemann Sphere and Linear Fractional Functions
lesson8: Complex Integral
lesson9: Cauchy's Integral Theorem and Integral Formula (1)
lesson10: Cauchy's Integral Theorem and Integral Formula (2)
lesson11: Taylor Expansion and Laurent Expantion (1)
lesson12: Taylor Expansion and Laurent Expantion (2)
lesson13: Residue Theorem and Application (1)
lesson14: Residue Theorem and Application (2)
lesson15: Final Examination |
Text/Reference
Books,etc. |
Textbook will be specified. |
PC or AV used in
Class,etc. |
|
| (More Details) |
Textbook and handouts. |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Prepare and review as needed. |
| Requirements |
|
| Grading Method |
The grade will be based on final examination, midterm examination, and/or assignments. |
| 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. |