Course title
応用物理数学   [Advanced Mathematical Physics]
Course category common courses  Requirement   Credit 2 
Department   Year   Semester 3rd 
Course type 3rd  Course code 1060489
Instructor(s)
森下 義隆   [MORISHITA Yoshitaka]
Facility affiliation Faculty of Engineering Office afjgxte/L1151  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
1/6/2020 11:21:17 AM