| Academic Year |
2025Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Electrical, Systems, and Control Engineering Program |
| Lecture Code |
WSG20101 |
Subject Classification |
Specialized Education |
| Subject Name |
数理学Ａ |
Subject Name
（Katakana） |
スウリガクエー |
Subject Name in
English |
Mathematics A |
| Instructor |
YOSHIKAWA SHUJI |
Instructor
(Katakana) |
ヨシカワ シュウジ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 2Term |
| Days, Periods, and Classrooms |
(2T) Weds1-2,Fri1-2 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| The instructor will mainly use slides in the lectures, and will also conduct practical exercises on numerical calculations. |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
J
:
Japanese |
| Course Level |
5
:
Graduate Basic
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
3 grade, Cluster I, II, IV |
| Keywords |
Differential equations, Numerical analysis, Structure-preserving numerical methods |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
In the field of engineering, a variety of linear and nonlinear phenomena occur.
Many of these phenomena are expressed by differential equations.
The aim here is to understand these phenomena through the theory of differential equations and numerical calculations. |
| Class Schedule |
lesson1 Introduction, Examples and Classification of Differential Equations
lesson2 Numerical solution of nonlinear equations
lesson3 Fundamentals of Numerical Calculation
lesson4 Fundamentals of Differential Equations
lesson5 Preparation for numerical calculations
lesson6 Numerical solution of differential equations
lesson7 Numerical computation of nonlinear equations
lesson8 High-precision numerical solution
lesson9 Euler method and high-precision numerical calculation
lesson10 Numerical solution of higher-order differential equations
lesson11 Numerical computation of higher-order differential equations
lesson12 Structure-preserving numerical method
lesson13 Numerical Solution of Partial Differential Equations
lesson14 Numerical calculation of structure-preserving numerical solution
lesson15 Summary: Recent research trends in the field of numerical computation
Exercises and reports will be assigned. |
Text/Reference
Books,etc. |
No specific textbooks or reference books are required. |
PC or AV used in
Class,etc. |
|
| (More Details) |
Black board, Audio Materiails |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Be sure to review what you have learned in each class. |
| Requirements |
Please bring your own laptop for numerical calculation exercises. |
| Grading Method |
Evaluation: Examination, Reports, etc. Score is 60&or more: successful |
| 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. |