Applied Mathematics１
Teachers KUROSAWA, Yoshio Year 2　1st semest [Department of Mechanical and Precision System, Faculty of Science and Engineering] Special Subjects Elective　2credit 1A301

#### Course Description

Separation of variables, homogeneous, linear and exact differential equation of first order will be studied.
Linear differential equation of second order with constant coefficients.
Laplace transform etc.
During lecture, students will acquire knowledge, technology, and ability of diploma policy 2 or 3.

#### Course Objectives

This course aims to provide exercises in the fundamentals of the differential equation, and practical problem solving skills. Further, finding the solution to a differential equation using Laplace transform is studied.

・Term-end examination : 65%
・Short examination : 20%
・Print and the problem to have let out while lecturing : 15%
Students will not be evaluated when they are not attending lectures more than 2/3. Test will be returned after grading and will be explained during lecture. Answers will be upload to LMS.

#### Textbook and Reference

KindTitleAuthorPublisher
TextbookThe mathematics of the engineering department Calculus
Yoshihiro TashiroMorikita Publishing Co., Ltd. ISBN978-4-627-04932-1
TextbookThe mathematics of the engineering department Applied mathematicsYoshihiro Tashiro Morikita Publishing Co., Ltd. ISBN978-4-627-04951-2
References

#### Requirements(Assignments)

Review the calculus beforehand.
Make preparation which takes the following course by solving the exercises - the exercises in the textbook and so on. It carries the photograph of the writing of each time on the blackboard on LMS until lecture in the next time, confirm and review contents beforehand.
Also, do preparation - the review of the lecture schedule range each time for about 3 hours.

#### Note

If you’re absent from lecture, please study and revise the topics taught on that day.

#### Schedule

1What is the differential equation?
2Differential equation of first order ( variable separation form )
3Differential equation of first order ( homogeneous form )
4Linear differential equation of first order
5Linear differential equation of first order ( question practice )
6Differential equation of the exact differential form
7Differential equation of the exact differential form using the integral integrating factor
8Short examination
9Commentary of the short examination and summary of the first half
10Differential equation of second order (form that x is not included in)
11Differential equation of second order for constant coefficients ( homogeneous form )
12Differential equation of second order for constant coefficients
13What is Laplace transform?
14Inverse Laplace transform
15Solution method of the differential equation using Laplace transform