| Academic Year |
2024Year |
School/Graduate School |
School of Science |
| Lecture Code |
HB205000 |
Subject Classification |
Specialized Education |
| Subject Name |
計算数理Ａ |
Subject Name
（Katakana） |
ケイサンスウリA |
Subject Name in
English |
Mathematics for Computation A |
| Instructor |
FUJIMOTO KOICHI |
Instructor
(Katakana) |
フジモト コウイチ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
3rd-Year, First Semester, 1Term |
| Days, Periods, and Classrooms |
(1T) Tues9-10：SCI E208, (1T) Thur9-10：SCI E209 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
J
:
Japanese |
| Course Level |
3
:
Undergraduate High-Intermediate
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
Mathematical model, Differential equation, Fourier series, Simulation |
| 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) | Mathematics
（Knowledge and Understanding）
・Understanding on primary theory of modern mathematics established on classical theory.
（Abilities and Skills）
・To acquire basic mathematical abilities (Ability to understand concepts, calculation ability, argumentation ability). |
|---|
Class Objectives
/Class Outline |
Differential equation is a basic language which describes various phenomena in nature or society. In this class, you will learn how to derive the model equations from the phenomena and how to analyze them theoretically and numerically through specific examples. |
| Class Schedule |
Decay of radioactive carbon, Separable equation
Malthus’ model, Logistic equation
Newton's equation of motion, Harmonic oscillation
Potential Energy
Linear ordinary differential equation of order 2
Resonance
Sound wave, Periodic functions
Fourier series
Fourier transform and examples
Diffusion process
Diffusion equation
Numerics of diffusion equation, Neumann's stability analysis
Wave equation
Numerics of wave equation, Conservative system and dissipative system
Final exam
Reports |
Text/Reference
Books,etc. |
Lecture note will be presented on Moodle |
PC or AV used in
Class,etc. |
|
| (More Details) |
PC |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
It is important to learn both of theoretical approach and numerical approach to understand the phenomena through mathematical models.
|
| Requirements |
|
| Grading Method |
Reports |
| 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. |