CC221303 Introduction to Analysis

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School School of Education

Lecture Code CC221303 Subject Classification Specialized Education

Subject Name 解析学概論

Subject Name
（Katakana）カイセキガクガイロン

Subject Name in
English Introduction to Analysis

Instructor IKEHATA RYO

Instructor
(Katakana) イケハタ　リョウ

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) 　

Lecture by using blackboard

Credits 2.0 Class Hours/Week 　 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

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 and integral calculus.

Class Schedule lesson1:Test
lesson2:Definition of the convergence of the infinite sequence and related property1.
lesson3:Definition of the convergence of the infinite sequence and related property2.
lesson4:Continuous function and related property 1
lesson5:Continuous function and related property 2
lesson6:The definition of the integral in terms of the Riemann
lesson7:The various properties of the Riemann integral
lesson8:The definition of the differential coefficients
lesson9:Derivatives and several properties 1
lesson10:Derivatives and several properties 2
lesson11:Mean value theorem
lesson12:Taylor expansion 1
lesson13:Taylor expansion 2
lesson14:Euler formula and its related topics
lesson15:Test

Text/Reference
Books,etc. I will introduce several texts at the first lesson.

PC or AV used in
Class,etc. 　

(More Details) None

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review Students must prestudy necessarily. In particular, you must review the so-called ε-N logic before lecture.

Requirements

Grading Method Test 70%, reports 30%.

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.

Academic Year	2024Year	School/Graduate School	School of Education
Lecture Code	CC221303	Subject Classification	Specialized Education
Subject Name	解析学概論
Subject Name （Katakana）	カイセキガクガイロン
Subject Name in English	Introduction to Analysis
Instructor	IKEHATA RYO
Instructor (Katakana)	イケハタ　リョウ
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)
Lecture by using blackboard
Credits	2.0	Class Hours/Week		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
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 and integral calculus.
Class Schedule	lesson1:Test lesson2:Definition of the convergence of the infinite sequence and related property1. lesson3:Definition of the convergence of the infinite sequence and related property2. lesson4:Continuous function and related property 1 lesson5:Continuous function and related property 2 lesson6:The definition of the integral in terms of the Riemann lesson7:The various properties of the Riemann integral lesson8:The definition of the differential coefficients lesson9:Derivatives and several properties 1 lesson10:Derivatives and several properties 2 lesson11:Mean value theorem lesson12:Taylor expansion 1 lesson13:Taylor expansion 2 lesson14:Euler formula and its related topics lesson15:Test
Text/Reference Books,etc.	I will introduce several texts at the first lesson.
PC or AV used in Class,etc.
(More Details)	None
Learning techniques to be incorporated
Suggestions on Preparation and Review	Students must prestudy necessarily. In particular, you must review the so-called ε-N logic before lecture.
Requirements
Grading Method	Test 70%, reports 30%.
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.

Back to syllabus main page