| Academic Year |
2025Year |
School/Graduate School |
School of Education |
| Lecture Code |
CC221303 |
Subject Classification |
Specialized Education |
| Subject Name |
解析学概論I |
Subject Name
（Katakana） |
カイセキガクガイロンI |
Subject Name in
English |
Introduction to Analysis I |
| Instructor |
SHIMOMURA TETSU |
Instructor
(Katakana) |
シモムラ テツ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
2nd-Year, First Semester, 2Term |
| Days, Periods, and Classrooms |
(2T) Weds5-8：EDU L102 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| Lecture by using blackboard |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
J
:
Japanese |
| Course Level |
2
:
Undergraduate Low-Intermediate
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
|
| Keywords |
differential calculus |
| 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) | Secondary School Mathematics Education
（Knowledge and Understanding）
・To understand basic knowledge of teaching contents of mathematic education.
（Abilities and Skills）
・To acquire and utilize the ability to think mathematically about teaching contents of mathematic education such as algebra, geometry, statistics and computer. |
|---|
Class Objectives
/Class Outline |
To study the fundamental knowldge of the differential calculus.
|
| Class Schedule |
lesson1 Introduction
lesson2 Real number
lesson3 Limits of sequences 1
lesson4 Limits of sequences 2
lesson5 Nested intervals
lesson6 Bolzano–Weierstrass theorem
lesson7 Cauchy sequence
lesson8 Limits of functions
lesson9 Continuity of functions
lesson10 Maximum and minimum theorems
lesson11 Differentiability
lesson12 Mean value theorem
lesson13 Composite functions
lesson14 Taylor expansion
lesson15 Test |
Text/Reference
Books,etc. |
References:
解析入門 田島一郎 岩波全書
ワンポイント イプシロン-デルタ 田島一郎 共立出版 |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
"After Lesson1:
Review the contents of the lesson.
After Lesson2 -4:
Review the contents of the lesson.
After Lesson5-7:
Review the contents of the lesson.
After Lesson8-10
Review the contents of the lessons.
After Lesson11-14:
Review the contents of the lesson.
After Lesson15:
Review the contents of all of the lessons." |
| Requirements |
Attendance at the first class is mandatory, and students are required to have studied differential and integral calculus in the first year. Students are expected to review the material before the course begins. For attendance, please refer to Article 14.3 of the detailed regulations of the Faculty of Education. Students who are absent for more than 1/3 of the class time will not be allowed to take the examination. No follow-up examinations or retests will be given unless there are special circumstances. If you are going to be absent for unavoidable reasons on the day of the examination, you must notify the professor in advance. |
| Grading Method |
Students will be evaluated comprehensively based on report assignment, quizzes, final exam and others. If students are absent for more than 1/3 of the course, they will not be allowed to take a final exam. Students' ' Knowledge & Understanding 3' and ' Intellectual capabilities and skills 3' will be evaluated based mainly on final exam and quizzes. |
| 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. |