Course title
応用物理数学   [Advanced Mathematical Physics]
Course category	common courses	Requirement		Credit	2
Department		Year	～	Semester	1st
Course type	1st	Course code	1060489
Instructor(s)
森下 義隆   [MORISHITA Yoshitaka]
Facility affiliation	Faculty of Engineering	Office		Email address

Course description

This lecture focuses on understanding the essence of mathematical treatment. The aim of this lecture is solving physics using mathematics as a skill. In this lecture, we will deal with Complex function theory, Special functions, Vector space, Fourier series and Fourier transform.

Expected Learning

?The student will become proficient in the use of Complex variables, Special functions, Vector Spaces, and Fourier Series. Corresponding criteria in the Diploma Policy: See the Curriculum maps.

Course schedule

1 complex function (1st to 4th) 1-1 differentiation of complex function 1-2 integration of complex function 1-3 residue 1-4 application of complex integral to real integral 2 Special function (5th to 7th) 2-1 gamma function 2-2 elliptic function and elliptic integral 3 vector space (8th to 11th) 3-1 vector space operation 3-2 vector conversion operation 3-3 Hilbert space 4 Fourier transform (12th to 14th) 4-1 expansion by Fourier series 4-2 Fourier transform 5 Summary (15th)

Prerequisites

Required Text(s) and Materials

References

Assessment/Grading

Message from instructor(s)

Course keywords

complex function, special function, vector space, Fourier transform

Office hours

From 12:00 to 13:00 on Friday

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

1/18/2022 11:08:59 AM