Course title
微分方程式Ⅰ   [Differential Equation Ⅰ]
Course category	technology speciality courses,ets.	Requirement		Credit	2
Department		Year	1～4	Semester	Fall
Course type	Fall	Course code	021526
Instructor(s)
田川 義之   [TAGAWA Yoshiyuki]
Facility affiliation	Institute of Global Innovation Research	Office		Email address

Course description

The ODEs are widely used for describing a wide range of mechanical-engineering problems. This lecture will provide the students basic skills for solving Ordinary Differential Equations (ODEs).

Expected Learning

The students will obtain the skills for solving ordinary differential equations.

Course schedule

First-order Ordinary Differential Equation 1.　What is Ordinary Differential Equations? 2.　Separable equation 3.　Homogeneous linear differential equation 4.　Mini-test, General solution for 1st-oder ODE 5.　First-order linear differential equation 6.　Exact differential equation 7.　Mid-term test Second-order Ordinary Differential Equation 8.　2nd-order ODE with constant factors 9.　Euler's 2nd-order differential equation 10.　Inhomogeneous linear differential equation with constant factors 11.　Mini-test, Application of 2nd-order homogeneous linear equations 12.　Differential Operator 13.　Power-series solution 14.　Final test 15.　Answers for Final test, Laplace transformation

Prerequisites

Basic knowledge for differential and integral calculus

Required Text(s) and Materials

References

E. クライツィグ：技術者のための高 等数学1 常微分方程式，培風館 （寺田文行，坂田：新版 演習 微分方程式，サイエンス社）

Assessment/Grading

Attendance (2pt x 10), Mini-test (10 pt x 2), Mid-term test (25 pt), Final test (35pt)

Message from instructor(s)

Course keywords

Separable equation, Homogeneous differential equation, Exact differential equation, Linear differential equation, Differential operator, Laplace transform

Office hours

Remarks 1

Remarks 2

Related URL

Lecture Language

Language Subject

Last update

3/22/2017 11:19:04 PM