| Academic Year |
2024Year |
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 |
WSG20401 |
Subject Classification |
Specialized Education |
| Subject Name |
数理学Ｄ |
Subject Name
（Katakana） |
スウリガクディー |
Subject Name in
English |
Mathematics D |
| Instructor |
KAWASITA WAKAKO |
Instructor
(Katakana) |
カワシタ ワカコ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 2Term |
| Days, Periods, and Classrooms |
(2T) Weds1-4 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
Moodle(on-demand) or face-to-face
Details will be given later. |
| Credits |
2.0 |
Class Hours/Week |
|
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 |
|
| Keywords |
Oscilation, Wave, Wave equation, Fourier analysis, Linear, Inverse Problems |
| 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 |
Around us there are various wave motion phenomena, for example, vibration of the strings, sound waves and electric oscillation of the electric circuits, and so on. If we pay attention only to small motions in those phenomena, those can be regarded as phenomena with linear structure. In that case, the same type of differential equations appear. We can say that it express the properties common to those phenomena.
At this lecture, paying attention to some linear wave motion phenomena, and carrying out review about the basic points of mathematics such as some ordinary differential equations and Fourier analysis, we learn about applications to the partial differential equations.
|
| Class Schedule |
lesson1 Introduction, Differential equations and waves ~ Single degree-of-freedom system (Kawashita)
lesson2 Coupled Oscilation ~ 2 degrees-of-freedom systems (Kawashita)
lesson3 Vibration of Chain ~ N degrees-of-freedom systems (Kawashita)
lesson4 Vibration of String ~ One-dimensional wave equation (Kawashita)
lesson5 Fourier Series and Vibration String (Kawashita)
lesson6 Use of Fourier Series (Kawashita)
lesson7 One-dimensional Wave ~ Progressive wave (Kawashita)
lesson8 Method of Characteristics (Kawashita)
lesson9 From Fourier Series to Fourier Transform (Kawashita)
lesson10 Vibration of very long string and Finite Propagation Properties (Kawashita)
lesson11 3-dimensional Wave ~ Plane wave and Spherical wave (Kawashita)
lesson12 Solutions of 2 or 3-dimensional Wave Equation (Kawashita)
lesson13 Topics (Tsuge)
lesson14 Topics (Tsuge)
lesson15 Survey and Others (Kawashita) |
Text/Reference
Books,etc. |
none (details are shown in lectures)
|
PC or AV used in
Class,etc. |
|
| (More Details) |
PC, handout and screen |
| Learning techniques to be incorporated |
|
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 |
quiz and homework |
| 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. |