| Course title | |||||
| 関数論 [Function Theory] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 3～4 | Semester | Fall | |
| Course type | Fall | Course code | 023511 | ||
| Instructor(s) | |||||
| 前田 博信 [MAEDA Hironobu] | |||||
| Facility affiliation | Faculty of Engineering | Office | Email address | ||
| Course description |
| In this course we will learn differentiation and integration of functions in one complex variable. |
| 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 |
| Course schedule |
|
week1: Complex numbers week2: Elementary Functions 1: Exponential function and Trigonometric functions. week3: Elementary Functions 2: Logarithmic function. week4: Cauchy-Riemann equations. week5: Complex integral week6: Cauchy's integral theorem: Introduction week7: Proofs of Cauchy's integral theorem week8: Cauchy's integral expression week9: Power series: Taylor series and Laurent series. week10: Identity theorem week11: Singularity week12: Residue week13: Application to real integral 1 week14: Application to real integral 2 week15: Final examination |
| Prerequisites |
| Required Text(s) and Materials |
| will be introduced in the first lecture. |
| References |
| moglichst originale Werke von Riemann, Weierstrass u.s.w. |
| Assessment/Grading |
| Midterm examination 50%. Final examination 50% |
| Message from instructor(s) |
| Course keywords |
| Complex numbers, Holomorphic function, Laurent series, Residue. |
| Office hours |
| will be informed in the first lecture |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/11/2017 10:25:21 AM |