Course title
微分方程式Ⅱ   [Differential Equation Ⅱ]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 24  Semester Spring 
Course type Spring  Course code 022506
Instructor(s)
前田 博信   [MAEDA Hironobu]
Facility affiliation Faculty of Engineering Office 12-212  Email address

Course description
In this course, we will learn Fourier series, Fourier transform and their basic properties. As an application we will consider methods of solving partial differential equations such as wave and heat differential equations.
Expected Learning
1. To understand the basic notions of Fourier series and transform
2. To be able to calculate Fourier series of a given periodic function
3. To understand and apply the method of Fourier series and transform to solving basic partial differential equations
Course schedule
1. Review of basic facts on elementary calculus
2. Fourier series 1
3. Fourier series 2
4. Basic properties of Fourier series
5. Complex Fourier seiries
6. Fourier series and partial differential equations
7. Solving partial differential equation
8. Exercises or Midterm examination
9. Fourier transdorm
10. Basic properties of Fourier transform
11. Fourier transform and partial differential equations
12. Laplace transform revisited, 1
13. Laplace transform revisited, 2
14. Exercises
15. Term examination
Prerequisites
Calculus 1, 2 and Differential Equation 1
Required Text(s) and Materials
Yano, K. and S. Ishihara, "Kiso-Kaisekigaku-Ko^su, Ouyou-Kaiseki" Shoka-bo (in japanese)
References
original works of Fourier, Laplace, Weierstrass
Assessment/Grading
Midterm exam 50%, Term exam 50%
Message from instructor(s)
Course keywords
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 10:28:19 AM