| Academic Year |
2026Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Informatics and Data Science Program |
| Lecture Code |
WSN24101 |
Subject Classification |
Specialized Education |
| Subject Name |
情報計算科学特論 |
Subject Name
（Katakana） |
ジョウホウケイサンカガクトクロン |
Subject Name in
English |
Advanced Information and Computational Science |
| Instructor |
MATSUSHIMA KEI |
Instructor
(Katakana) |
マツシマ ケイ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Thur1-4 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Online (on-demand) |
| |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
E
:
English |
| Course Level |
5
:
Graduate Basic
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
02
:
Information Science |
| Eligible Students |
|
| Keywords |
|
| 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 |
This course aims to provide students with fundamental knowledge of computational science within the field of information science. In particular, the course focuses on functional analysis, which forms the theoretical foundation of numerical analysis for differential and integral equations. |
| Class Schedule |
lesson1: Overview
lesson2: Normed Spaces, Limits, and Continuity of Functions
lesson3: Cauchy Sequences and Completeness
lesson4: Compactness
lesson5: Inner Products and Best Approximation
lesson6: Bounded Operators (1)
lesson7: Bounded Operators (2)
lesson8: Compact Operators
lesson9: Riesz–Fredholm Theory (1)
lesson10: Riesz–Fredholm Theory (2)
lesson11: Riesz–Fredholm Theory (3)
lesson12: Riesz–Fredholm Theory (4)
lesson13: Numerical Quadrature
lesson14: Approximation of Integral Operators and the Nyström Method
lesson15: Summary and Wrap-up |
Text/Reference
Books,etc. |
Rainer Kress, Linear Integral Equations, 3rd edition |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
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Suggestions on
Preparation and
Review |
Students are strongly encouraged to thoroughly review the material from calculus and linear algebra. |
| Requirements |
|
| Grading Method |
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. |