Course title
微分方程式Ⅱ   [Differential Equation Ⅱ]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 24  Semester 3rd 
Course type 3rd  Course code 022313
Instructor(s)
合田 洋   [GODA Hiroshi]
Facility affiliation Faculty of Engineering Office 12-211  Email address

Course description
Aim: We study the idea of Fourier series expansion.
Then we use Fourier series expansion to solve some differential equations,
especially the heat equation and wave equation.

Outline:
We know the idea of Fourier series expansion.
We can solve the heat equation and wave equation
using Fourier series expansion.
We examine the calculus of Fourier series.
Expected Learning
・We know the idea of Fourier series expansion.
・We can calculate Fourier series expansion.
・We can solve some types of partial differential equations.

Corresponding criteria in the Diploma Policy: See the Curriculum maps.
Course schedule
1. A review of calculus
2. Partial differential equations of order one
3. Partial differential equations of second order
4. A review of trigonometric functions
5. Periodic functions and functional spaces
6. Fourier series expansionI
7. Fourier series expansionII
8. Fourier series expansionIII
9. Exercises, Midterm Exam.
10. Complex Fourier series
11. An application of Fourier series to Partial differential equations I
12. An application of Fourier series to Partial differential equations II
13. An application of Fourier series to Partial differential equations III
14. Exercises
15. Exercises, Exam.
Prerequisites
Knowledge of the course of Calculus I, II and Exercise will be used in the lecture. In addition to 60 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below.
Required Text(s) and Materials
It is desirable that you have taken "Calculus I and II and Exercises" and "Linear Algebras I and II".
So, please review the text books of Calculues and Linear Algebra.
References
Assessment/Grading
Midterm Exam.(50%), Final Exam.(50%)
Only attendance does not effect to the assessment.
Message from instructor(s)
Course keywords
Fourier series, Fourier series expansion, partial differential equation, heat equation, wave equation
Office hours
Thursday 17:00--18:00
Remarks 1
Remarks 2
Related URL
http://web.tuat.ac.jp/~goda/lecture/lecture3.html
Lecture Language
Language Subject
Last update
3/18/2019 9:53:22 AM