68141010 CalculusII

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School Liberal Arts Education Program

Lecture Code 68141010 Subject Classification Foundation Courses

Subject Name 微分積分学II

Subject Name
（Katakana）ビブンセキブンガク2

Subject Name in
English CalculusII

Instructor MIZUMACHI TETSU

Instructor
(Katakana) ミズマチ　テツ

Campus Higashi-Hiroshima Semester/Term 1st-Year, Second Semester, 3Term

Days, Periods, and Classrooms (3T) Tues1-2,Fri1-2：IAS K105

Lesson Style Lecture Lesson Style
(More Details) 　

Lecture-oriented class

Credits 2.0 Class Hours/Week 　 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

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 I".

Class Schedule [An Example of Class Schedule]
lesson1: Functions of Several Variables
lesson2: Partial Differential Coefficients and Partial Derivatives
lesson3: Total Differentiability and Total Differentials
lesson4: Derivatives and Partial Derivatives of Composite Functions
lesson5: Taylor expansion of a Function of Several Variables
lesson6: Application of Partial Derivative (1)
lesson7: Application of Partial Derivative (2)
lesson8: Definition of the Multiple Integral
lesson9: Relation between the Iterated Integral and the Multiple Integral
lesson10: Change of Variables of a Multiple Integral
lesson11: Calculation of Multiple Integral (1)
lesson12: Calculation of Multiple Integral (2)
lesson13: Application of Multiple integral (1)
lesson14: Application of Multiple integral (2)
lesson15: Summary

Text/Reference
Books,etc. Textbook will be specified at the time of the first class.

PC or AV used in
Class,etc. 　

(More Details) Textbook, handouts, and/or screen.

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review Prepare and review as needed.

Requirements The knowledge of "Calculus I" is premised.

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

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other 【In the case of the student number who want to take this class is over 250, a computerized drawing will be held.】

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	Liberal Arts Education Program
Lecture Code	68141010	Subject Classification	Foundation Courses
Subject Name	微分積分学II
Subject Name （Katakana）	ビブンセキブンガク2
Subject Name in English	CalculusII
Instructor	MIZUMACHI TETSU
Instructor (Katakana)	ミズマチ　テツ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Tues1-2,Fri1-2：IAS K105
Lesson Style	Lecture	Lesson Style (More Details)
Lecture-oriented class
Credits	2.0	Class Hours/Week		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
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 I".
Class Schedule	[An Example of Class Schedule] lesson1: Functions of Several Variables lesson2: Partial Differential Coefficients and Partial Derivatives lesson3: Total Differentiability and Total Differentials lesson4: Derivatives and Partial Derivatives of Composite Functions lesson5: Taylor expansion of a Function of Several Variables lesson6: Application of Partial Derivative (1) lesson7: Application of Partial Derivative (2) lesson8: Definition of the Multiple Integral lesson9: Relation between the Iterated Integral and the Multiple Integral lesson10: Change of Variables of a Multiple Integral lesson11: Calculation of Multiple Integral (1) lesson12: Calculation of Multiple Integral (2) lesson13: Application of Multiple integral (1) lesson14: Application of Multiple integral (2) lesson15: Summary
Text/Reference Books,etc.	Textbook will be specified at the time of the first class.
PC or AV used in Class,etc.
(More Details)	Textbook, handouts, and/or screen.
Learning techniques to be incorporated
Suggestions on Preparation and Review	Prepare and review as needed.
Requirements	The knowledge of "Calculus I" is premised.
Grading Method	The grade will be based on final examination, midterm examination, and/or assignments.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other	【In the case of the student number who want to take this class is over 250, a computerized drawing will be held.】
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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