Course title
微分方程式Ⅰ   [Differential Equation Ⅰ]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 24  Semester 1st 
Course type 1st  Course code 022202
Instructor(s)
原 伸生   [HARA Nobuo]
Facility affiliation Faculty of Engineering Office 12-214  Email address

Course description
Differential equations play important roles in the mathematical description and analysis of various phenomena in engineering. In this course, we will learn basic notions and methods of solving ordinary differential equations such as linear differential equations.
Expected Learning
The goal of this course is to be able to solve concrete problems on typical differential equations such as those of first order and linear ones.

Corresponding criteria in the Diploma Policy: See the Curriculum maps
Course schedule
1. What are differential equations?
2. Separation of variables
3. Homogeneous differential equations
4. Linear differential equations of first order
5. Exact differential equations
6. Summary: Exercises and/or midterm examination
7. Basic properties of linear differential equations
8. Special solutions of non-homogeneous linear differential equations
9. Linear differential equations of higher order
10. Linear differential equations with constant coefficients
11. Differential operators
12. Application of differential operators
13. Laplace transformation 1
14. Laplace transformation 2
15. Summary: Exercises and/or term examination
Prerequisites
Calculus I and II, Linear Algebra I and II.
Remark: In addition to 30 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending appropriate amount of time and using the lecture handouts as well as the references specified below.
Required Text(s) and Materials
Yano, K., Ishihara, S.: Kiso-Kaisekigaku course Bibun-Houteisiki, Shoukabou (in Japanense)
Remark: This lecture will be given in Japanese. Students who want to use a textbook written in English should consult the lecturer.
References
Assessment/Grading
Midterm exam 50%, Term exam 50%
Message from instructor(s)
Course keywords
Office hours
Arranged taking into account of students' requests
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
3/19/2019 11:32:16 AM