| Course title | |||||
| 関数論 [Function Theory] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 2～4 | 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 |