68140010 CalculusI

Hiroshima University Syllabus

Japanese

Academic Year 2025Year School/Graduate School Liberal Arts Education Program

Lecture Code 68140010 Subject Classification Foundation Courses

Subject Name 微分積分学I[1教理,1教数]

Subject Name
（Katakana）ビブンセキブンガク1

Subject Name in
English CalculusI

Instructor KOBAYASHI RYO,KOBAYASHI RYO,IKEHATA RYO

Instructor
(Katakana) コバヤシ　リョウ,コバヤシ　リョウ,イケハタ　リョウ

Campus Higashi-Hiroshima Semester/Term 1st-Year,  First Semester,  1Term

Days, Periods, and Classrooms (1T) Tues3-4,Fri3-4：IAS K313

Lesson Style Lecture Lesson Style
(More Details) Face-to-face, Online (on-demand)

Lecture and Exercise, On Demand

Credits 2.0 Class Hours/Week 4 Language of Instruction J : Japanese

Course Level 1 : Undergraduate Introductory

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 01 : Mathematics/Statistics

Eligible Students Freshmen

Keywords

Special Subject for Teacher Education 　 Special Subject 　

Class Status within
Liberal Arts Education As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them w
Expected Outcome To understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.

Class Objectives
/Class Outline The aim of classes is to acquire basic knowledge and skills about the calculus together with "Calculus IＩ".

Class Schedule [An Example of Class Schedule]
lesson1: Sets and Mappings
lesson2: Elementary Functions
lesson3: Elementary Functions
lesson4: Sequence and Series
lesson5: Continuity and Differentiability of Functions
lesson6: Linear Approximation and Error
lesson7: Rolle's Theorem, Mean Value Theorem
lesson8: Midterm Exam
lesson9: Taylor Expansion
lesson10: Integral, Fundamental Theorem of Calculus
lesson11: Line Integral, Application of Integral
lesson12: Improper Integral
lesson13: Elementary Differential Equations
lesson14: Elementary Differential Equations
lesson15: Summary

Text/Reference
Books,etc. The textbook will be not be specified. Lecture note will be uploaded  in the home page of this lecture.

PC or AV used in
Class,etc.

(More Details) Handouts, and/or screen.

Learning techniques to be incorporated

Suggestions on
Preparation and
Review Prepare and review as needed.

Requirements

Grading Method The grade will be based on final examination, midterm examination, and/or repors.

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	2025Year	School/Graduate School	Liberal Arts Education Program
Lecture Code	68140010	Subject Classification	Foundation Courses
Subject Name	微分積分学I[1教理,1教数]
Subject Name （Katakana）	ビブンセキブンガク1
Subject Name in English	CalculusI
Instructor	KOBAYASHI RYO,KOBAYASHI RYO,IKEHATA RYO
Instructor (Katakana)	コバヤシ　リョウ,コバヤシ　リョウ,イケハタ　リョウ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, First Semester, 1Term
Days, Periods, and Classrooms	(1T) Tues3-4,Fri3-4：IAS K313
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face, Online (on-demand)
Lecture and Exercise, On Demand
Credits	2.0	Class Hours/Week	4	Language of Instruction	J : Japanese
Course Level	1 : Undergraduate Introductory
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	01 : Mathematics/Statistics
Eligible Students	Freshmen
Keywords
Special Subject for Teacher Education		Special Subject
Class Status within Liberal Arts Education	As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them w
Expected Outcome	To understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.
Class Objectives /Class Outline	The aim of classes is to acquire basic knowledge and skills about the calculus together with "Calculus IＩ".
Class Schedule	[An Example of Class Schedule] lesson1: Sets and Mappings lesson2: Elementary Functions lesson3: Elementary Functions lesson4: Sequence and Series lesson5: Continuity and Differentiability of Functions lesson6: Linear Approximation and Error lesson7: Rolle's Theorem, Mean Value Theorem lesson8: Midterm Exam lesson9: Taylor Expansion lesson10: Integral, Fundamental Theorem of Calculus lesson11: Line Integral, Application of Integral lesson12: Improper Integral lesson13: Elementary Differential Equations lesson14: Elementary Differential Equations lesson15: Summary
Text/Reference Books,etc.	The textbook will be not be specified. Lecture note will be uploaded in the home page of this lecture.
PC or AV used in Class,etc.
(More Details)	Handouts, and/or screen.
Learning techniques to be incorporated
Suggestions on Preparation and Review	Prepare and review as needed.
Requirements
Grading Method	The grade will be based on final examination, midterm examination, and/or repors.
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.

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