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 022601
Instructor(s)
金城 謙作   [KINJO Kensaku]
Facility affiliation Graduate School of Engineering Office   Email address

Course description
Differential equations provide indispensable tools to analyze various phenomena in engineering and natural science. In this lecture, we explain typical differential equations and learn methods to solve them.
Expected Learning
The goal of this course are to solve some types of differential equations, to use differential operators, and
to calculate the Laplace transform of various functions.
Corresponding criteria in the Diploma Policy: See the Curriculum maps.
Course schedule
1. Introduction and Examples
2. Separable Equations
3. Homogeneous Differential Equations
4. First Order Linear Differential Equations
5. Exact Differential Equations
6. Integrating Factors
7. Midterm Examination
8. Introduction of Second Order Linear Differential Equations
9. Second Order Differential Equations with constant coefficients
10. Differential Operators
11. Laplace Transform
12. Inverse Laplace Transform
13. Application to Initial Value Problem 1
14. Application to Initial Value Problem 2
15. Term Examination
Prerequisites
Knowledge of the courses of “Calculus Ⅰ/Ⅱ and Exercise” will be used in this course.
Required Text(s) and Materials
References
TERADA Fumiyuki, “Bibun-houteisiki-no-kiso ”, Science-sya (in Japanese)
(ISBN 978-4-7819-0866-3)
Assessment/Grading
Results of the term and the midterm examinations will be used for evaluation.
(The ratio of the term and the midterm examinations is the larger of 5:5 and 3:2)
Message from instructor(s)
Ordinary Differential Equations, Linear Differential Equations, Differential Operators, Laplace Transform
Course keywords
Ordinary Differential Equations, Linear Differential Equations, Differential Operators, Laplace Transform
Office hours
Before or After the class. Ask me if it is inconvenient for you. I may be able to change the date.
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
4/2/2019 7:51:50 PM