学部・大学院区分
Undergraduate / Graduate
学部
時間割コード
Registration Code
0063211
科目名 【日本語】
Course Title
[G30]複素関数論
科目名 【英語】
Course Title
[G30]Complex Analysis
使用言語
Language Used in the Course
English
担当教員 【日本語】
Instructor
BOURNE Christopher jack ○
担当教員 【英語】
Instructor
BOURNE Christopher jack ○
単位数
Credits
2
開講期・開講時間帯
Term / Day / Period
秋 水曜日 2時限
Fall Wed 2


授業の目的 【英語】
Goals of the Course [ENG]
【Standardized across all programs】 Complex functions appear in various parts of the natural sciences, play a fundamental role and have a wide range of applications. In particular, its calculus forms a beautiful and unified world that is completely different from that of real numbers. The goal of this course is to learn the basics of differentiation and integration of such complex functions, especially the basic properties of complex analytic functions, and to become familiar with their various treatments, which are important for applications. Special emphasis is placed on the handling of power series and complex integrations.
授業の達成目標 【英語】
Objectives of the Course [ENG]
To introduce the basic theory of analytic functions in a single complex variable.
教科書
Textbook
E. Freitag and R. Busam: Complex analysis. Second edition. Springer-Verlag, Berlin, 2009. ISBN 978-3-540-93982-5
It is not necessary to purchase this textbook.

Summaries of lectures will also be distributed to the students.
課外学修等
Study Load (Self-directed Learning Outside Course Hours)
Several homework assignments will be distributed during the course. Students are also expected to revise the lecture content.
注意事項
Notice for Students
本授業に関するWebページ
Reference website for this Course
Course website
担当教員からのメッセージ
Message from the Instructor
実務経験のある教員等による授業科目(大学等における修学の支援に関する法律施行規則に基づくもの)
Courses taught by Instructors with practical experience
授業開講形態等
Lecture format, etc
B-3)Face-to-face course(both simultaneous interactive and on-demand methods will be provided when necessary)