| Academic Year |
2025Year |
School/Graduate School |
School of Engineering |
| Lecture Code |
K0201020 |
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 |
UCHIYAMA SATOKI |
Instructor
(Katakana) |
ウチヤマ サトキ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Tues1-2,Weds1-2：ENG 218 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| Lecture using black board |
| 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 |
1st-Year Students, Cluster II |
| Keywords |
Ordinary differential equations, Initial value problems, Separable differential equations, Linear equations, Differential operator, Power series solutions, Numerical 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 equations
(7) Power series solutions |
| Class Schedule |
lesson1 Fundamental concept of differential equations and some examples
lesson2 First order differential equations : separable differential equations
lesson3 First order differential equations : first order linear differential equations
lesson4 First order differential equations : exact differential equations
lesson5 First order differential equations : applications, 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 : particular solutions
lesson9 Second order differential equations : graph of solution
lesson10 System of linear differential equations : eigenvalue problems
lesson11 System of linear differential equations : fundamental concept
lesson12 System of linear differential equations : second order linear differential equations
lesson13 Higher order differential equations
lesson14 Power series methods : power series
lesson15 Power series methods : power series solutions of differential equations
Final 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, Microsoft Forms, moodle |
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Solve the exercises in the texts. |
| Requirements |
|
| Grading Method |
Final examination |
| 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. |