Course title
微分方程式Ⅱ   [Differential Equation Ⅱ]
Course category	technology speciality courses,ets.	Requirement		Credit	2
Department		Year	2～4	Semester	Fall
Course type	Fall	Course code	022213
Instructor(s)
礒島 伸   []
Facility affiliation	Graduate School of Engineering	Office		Email address

Course description

In this course, we will study the definition and properties of the Fourier series and the Fourier transform. As an application, we will learn how to solve wave equations and heat equations

Expected Learning

The goal of this course are 1. to be able to compute the Fourier series of functions, 2. to understand how to find the Fourier transform of functions, and 3. to be capable of performing Fourier series and Fourier transform on solving partial differential equations.

Course schedule

1. Fourier series 2. Fourier sine series and cosine series 3. Complex form of Fourier series 4. Definition of Fourier transform 5. Integral formula 6. Properties of Fourier transform 7. Fourier transform of multi-valuable function 8. Convolution 9. Midterm examination 10. Heat equation 11. Initial value problem and boundary value problem 12. Wave equation 13. Application to Fourier transform 14. Wave equation on a finite interval 15. Term examination

Prerequisites

Knowledge of the courses of “Calculus Ⅰ/Ⅱ and Exercise” and “Differential equation I” will be used in this course.

Required Text(s) and Materials

References

UOHASHI Keiko, UMETSU Minoru, 'Keisanryoku-wo-tukeru Ohyo-Suugaku',Uchida-Rokakuho (ISBN 978-4-7536-0033-5) KABEYA Yoshitsugu, “Fourier kaiseki-to-henbibunhouteishiki-nyuumon”, Kyouritsu-Syuppan (ISBN 978-4-320-01948-5)

Assessment/Grading

The term examination, the common examination, and mini test

Message from instructor(s)

Course keywords

Fourier series, Fourier transform, wave equation, heat equation

Office hours

I answer questions before or after the class.

Remarks 1

Remarks 2

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Lecture Language

Language Subject

Last update

9/28/2017 11:03:19 AM