Course title
微分方程式Ⅱ   [Differential Equation Ⅱ]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 24  Semester Fall 
Course type Fall  Course code 022413
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
Related URL
Lecture Language
Language Subject
Last update
9/28/2017 11:04:29 AM