63063002 Seminar in Basic Mathematics II

Hiroshima University Syllabus

Japanese

Academic Year 2026Year School/Graduate School Liberal Arts Education Program

Lecture Code 63063002 Subject Classification Foundation Courses

Subject Name 数学演習II[1工三,1工四]

Subject Name
（Katakana）スウガクエンシュウ２

Subject Name in
English Seminar in Basic Mathematics II

Instructor YOSHIKAWA SHUJI

Instructor
(Katakana) ヨシカワ　シュウジ

Campus Higashi-Hiroshima Semester/Term 1st-Year,  Second Semester,  4Term

Days, Periods, and Classrooms (4T) Tues3-4,Thur3-4：IAS K107

Lesson Style Seminar Lesson Style
(More Details) Face-to-face, Online (simultaneous interactive), Online (on-demand)

Seminar-oriented class
Details will be given later.

Credits 1.0 Class Hours/Week 4 Language of Instruction B : Japanese／English

Course Level 1 : Undergraduate Introductory

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 01 : Mathematics/Statistics

Eligible Students First-year, Cluster III, IV

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 cultivate thinking, expression, and computing powers through the exercises on calculus and linear algebra together with "Seminar in Basic Mathematics I".

Class Schedule [An Example of Class Schedule]
lesson1: Guidance and Review of Calculus
lesson2: Partial Derivatives (1)
lesson3: Partial Derivatives (2)
lesson4: Extremal Problem, Implicit Function and Conditional Extremal Problem
lesson5: Calculation of Multiple Integrals (1)
lesson6: Calculation of Multiple Integrals (2)
lesson7: Calculation of Multiple Integrals (3)
lesson8: Area and Volume
lesson9: Review of Linear Algebra (1)
lesson10: Review of Linear Algebra (2)
lesson11: Linear Dependence and Independence, Basis, Dimension, Linear Maps and Linear Transformations
lesson12: Eigenvalues and Diagonalization of a Matrix (1)
lesson13: Eigenvalues and Diagonalization of a Matrix (2)
lesson14: Eigenvalues and Diagonalization of a Matrix (3)
lesson15: Final Exercise

lesson16: Final Examination

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

PC or AV used in
Class,etc. Text, Handouts, Visual Materials, Microsoft Teams, Microsoft Stream, moodle

(More Details)

Learning techniques to be incorporated Flip Teaching, Post-class Report

Suggestions on
Preparation and
Review Prepare and review as needed.

Requirements The knowledge of "Calculus I" and "Linear algebra I" is premised.

Grading Method The grade will be based on  active participation in classes, assignments, final examination.

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	2026Year	School/Graduate School	Liberal Arts Education Program
Lecture Code	63063002	Subject Classification	Foundation Courses
Subject Name	数学演習II[1工三,1工四]
Subject Name （Katakana）	スウガクエンシュウ２
Subject Name in English	Seminar in Basic Mathematics II
Instructor	YOSHIKAWA SHUJI
Instructor (Katakana)	ヨシカワ　シュウジ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 4Term
Days, Periods, and Classrooms	(4T) Tues3-4,Thur3-4：IAS K107
Lesson Style	Seminar	Lesson Style (More Details)	Face-to-face, Online (simultaneous interactive), Online (on-demand)
Seminar-oriented class Details will be given later.
Credits	1.0	Class Hours/Week	4	Language of Instruction	B : Japanese／English
Course Level	1 : Undergraduate Introductory
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	01 : Mathematics/Statistics
Eligible Students	First-year, Cluster III, IV
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 cultivate thinking, expression, and computing powers through the exercises on calculus and linear algebra together with "Seminar in Basic Mathematics I".
Class Schedule	[An Example of Class Schedule] lesson1: Guidance and Review of Calculus lesson2: Partial Derivatives (1) lesson3: Partial Derivatives (2) lesson4: Extremal Problem, Implicit Function and Conditional Extremal Problem lesson5: Calculation of Multiple Integrals (1) lesson6: Calculation of Multiple Integrals (2) lesson7: Calculation of Multiple Integrals (3) lesson8: Area and Volume lesson9: Review of Linear Algebra (1) lesson10: Review of Linear Algebra (2) lesson11: Linear Dependence and Independence, Basis, Dimension, Linear Maps and Linear Transformations lesson12: Eigenvalues and Diagonalization of a Matrix (1) lesson13: Eigenvalues and Diagonalization of a Matrix (2) lesson14: Eigenvalues and Diagonalization of a Matrix (3) lesson15: Final Exercise lesson16: Final Examination
Text/Reference Books,etc.	Textbooks will be specified at the time of the first class.
PC or AV used in Class,etc.	Text, Handouts, Visual Materials, Microsoft Teams, Microsoft Stream, moodle
(More Details)
Learning techniques to be incorporated	Flip Teaching, Post-class Report
Suggestions on Preparation and Review	Prepare and review as needed.
Requirements	The knowledge of "Calculus I" and "Linear algebra I" is premised.
Grading Method	The grade will be based on active participation in classes, assignments, final examination.
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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