| Academic Year |
2025Year |
School/Graduate School |
School of Engineering |
| Lecture Code |
K0201031 |
Subject Classification |
Specialized Education |
| Subject Name |
応用数学I |
Subject Name
（Katakana） |
オウヨウスウガク １ |
Subject Name in
English |
Applied Mathematics I |
| Instructor |
KAWASITA WAKAKO |
Instructor
(Katakana) |
カワシタ ワカコ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Weds1-2,Fri7-8：ENG 116 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| Details will be given later. |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
J
:
Japanese |
| Course Level |
1
:
Undergraduate Introductory
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
First-year, Cluster III |
| Keywords |
Ordinary differential equations, Initial value problems, Separable differential equations, Linear equations, Differential operator, Power series solutions, Numerial methods |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | ・The students should take a course of calculus before taking this lecture. |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
(1) The concept of first order differential equations
(2) Solution method for first order linear differential equations
(3) Solution method for separable differential equations
(4) The approach how to solve the linear differential equations
(5) Solution method for second order linear differential equations with constant coefficients
(6) The relationship between the higher order linear differential equations with constant coefficients and the system of first order linear differential eqations
(7) Power series solutions |
| Class Schedule |
lesson1 Fundanental concept of differential equations some examples
lesson2 First order differential equations：first order linear differential equations, applications
lesson3 First order differential equations：separable differential equations, applications
lesson4 First order differential equations：exact differential equations, others
lesson5 First order differential equations：existence of solutions
lesson6 Second order differential equations：Wronskian and fundamental set of solutions
lesson7 Second order differential equations：characteristic equation
lesson8 Second order differential equations：paticular solutions (method of undetermined coefficients)
lesson9 Second order differential equations ：paticular solutions (variation of constants)
lesson10 Second order differential equations：graph of solutions
lesson11 System of linear differential equations：eigenvalue
lesson12 System of linear differential equations：second order differential equations
lesson13 Higher order differential equations
lesson14 Power series methods：power series solutions
lesson15 Power series methods：fundamental concept
lesson 16: Examination |
Text/Reference
Books,etc. |
"Differential equations" by Y. Mizuta (Saiensu sha Co,. Ltd)
"Exercises of differential equations" by Terada and Sakata (Saiensu sha Co,. Ltd) |
PC or AV used in
Class,etc. |
Text, Handouts, moodle |
| (More Details) |
We use Moodle for Handouts and Assignments. |
| Learning techniques to be incorporated |
Post-class Report |
Suggestions on
Preparation and
Review |
Please look back over the examples of the subject of each lecture, and brush up on it. |
| Requirements |
|
| Grading Method |
assignment (30%）and the result of the final exam（70%） |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |