Course title
微分方程式Ⅰ   [Differential Equation Ⅰ]
Course category	technology speciality courses	Requirement		Credit	2
Department		Year	1～4	Semester	1st
Course type	1st	Course code	021501
Instructor(s)
上田 祐樹   [UEDA Yuki]
Facility affiliation	Graduate School of Bio-Applications and Systems Engineering	Office		Email address

Course description

Physical phenomena can be expressed by differential equations. Hence, it is important for an engineer to understand differential equations and obtain the ability to solve them. In this course, ordinary differential equations are lectured.

Expected Learning

Obtain the ability to solve the first and second order ordinary differential equations. Corresponding criteria in the Diploma Policy: See the Curriculum maps.

Course schedule

1. Differential equations and their solutions 2. Direct integral type differential equation 3. Variable conversion type differential equation 4. Homogeneous differential equation 5. Inhomogeneous linear differential equation 6. Integrating factor for solving linear differential equation 7. Bernoulli's and Riccati's differential equations 8. Second order differential equation (Homogeneous 1) 9. Second order differential equation (Homogeneous 2) 10. Second order differential equation (Inhomogeneous 1) 11. Second order differential equation (InHomogeneous 2) 12. Euler's differential equation 13. Simultaneous differential equation 14. Expansion into power series for solving differential equation 15. Summary of this lecture

Prerequisites

Students are recommended to prepare for and revisethe lecture, spending the standard amount of time asspecified by the University.

Required Text(s) and Materials

改訂版すぐわかる微分方程式　石村園子著

References

Reference books are introduced in the first lesson.

Assessment/Grading

Midterm test 50% and Final test 50%.

Message from instructor(s)

Course keywords

Office hours

12:00-13:00 BASE121

Remarks 1

Remarks 2

Related URL

Lecture Language

Language Subject

Last update

3/2/2020 3:36:21 PM