Course title
微分方程式Ⅰ   [Differential Equation Ⅰ]
Course category technology speciality courses  Requirement   Credit 2 
Department   Year 24  Semester 1st 
Course type 1st  Course code 022351
Instructor(s)
堀口 直之   [HORIGUCHI Naoyuki]
Facility affiliation Graduate School of Engineering Office   Email address

Course description
In this course, we will learn solutions of ordinary differential equations, operational calculus and Laplace transform.

This course is taught by a part-time lecturer. Once the employment of the part-time lecturer is confirmed, this syllabus may be modified. In this case, the official version is the modified syllabus.
Expected Learning
・To be able to solve basic ordinary differential equations.
・To be able to solve linear constant-coefficient differential equations by using operational calculus.
・To understand solutions of differential equations by using Laplace transform.
Corresponding criteria in the Diploma Policy: See the Curriculum maps
Course schedule
1. Definition of differential equations
2. Separation of variables and homogeneous equations
3. First order linear differential equations
4. Exact differential equations
5. Differential operator
6. Homogeneous linear constant-coefficient differential equations
7. Review , and midterm exam
8. Properties of operational calculus I
9. Properties of operational calculus II
10. Inhomogeneous linear constant-coefficient differential equations
11. Difference-differential equations
12. Various differential equations
13. Definition and properties of Laplace transform
14. Solutions of differential equations by using Laplace transform
15. Review, and final exam
Prerequisites
In addition to 30 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
References
“Bibun houteishiki”, Makino shoten
Assessment/Grading
It will be announced in Google Classroom.
Message from instructor(s)
Course keywords
Ordinary differential equations, Differential operator, Operational calculus, Laplace transform
Office hours
It will be announced in the first lecture.
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
1/19/2022 11:09:41 AM