Course title
関数論   [Function Theory]
Course category technology speciality courses  Requirement   Credit 2 
Department   Year 24  Semester 3rd 
Course type 3rd  Course code 022355
Instructor(s)
木原 裕充   []
Facility affiliation Graduate School of Engineering Office 12-212  Email address

Course description
In this course we will learn differentiation and integration of functions in one complex variable.
This course belongs to basic courses in our department curriculum.

This course is taught by a part-time lecturer. Once the employment of the part-time lecturer is confirmed, this syllabus may be modified. In this case, the official version is the modified syllabus.

class code: wakjlb7
Expected Learning
The goal of this course is
(1) to be capable of performing practical computations on complex functions, and
(2) to understand residue for calculating complex integral
Corresponding criteria in the Diploma Policy: See the Curriculum maps
Course schedule
week1: Complex numbers
week2: Riemann sphere
week3: Complex functions
week4: Complex series
week5: Derivatives of complex functions
week6: Entire functions
week7: Multivalued functions
week8: Complex integrals
week9: Cauchy's integral theorem
week10: Cauchy's integral formula
week11: Properties of holomorphic functions
week12: Laurent expansions
week13: Residues
week14: Evaluations of definite integrals
week15: Examination
Prerequisites
In addition to 30 hours that students spend in the class, students are recommended to prepare for
and revise the lectures, spending the standard amount of time as specified by the University and
using the lecture handouts as well as the references specified below.
Required Text(s) and Materials
Riko kei no kiso fukuso kaiseki (in Japanese)
Author: Toshihiro Hadano; Yoshifumi Kato
Publisher: Gakujutsu tosho shuppan-sha CO. LTD.

References
Lars V. Ahlfors, COMPEX ANALYSIS, McGRAW-HILL INTERNATIONAL EDITIONS
(in English)

Assessment/Grading
Evaluation will be done according to the Final examination
Message from instructor(s)
Course keywords
Holomorphic function, Meromorphic Functions, Laurent series, Residues
Office hours
will be informed in the first lecture
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
10/5/2022 9:26:07 PM