K0202030 Applied Mathematics II

Hiroshima University Syllabus

Japanese

Academic Year 2026Year School/Graduate School School of Engineering

Lecture Code K0202030 Subject Classification Specialized Education

Subject Name 応用数学II

Subject Name
（Katakana）オウヨウスウガク　２

Subject Name in
English Applied Mathematics II

Instructor WAKASUGI YUUTA

Instructor
(Katakana) ワカスギ　ユウタ

Campus Higashi-Hiroshima Semester/Term 2nd-Year,  First Semester,  1Term

Days, Periods, and Classrooms (1T) Weds1-2,Fri1-2：ENG 107

Lesson Style Lecture Lesson Style
(More Details) Face-to-face, Online (simultaneous interactive)

Details will be given later.

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 Second-year, Cluster III

Keywords Vector analysis, Scalar field, Vector field, Gradient, Divergence, Rotation, Line integral, Surface integral, Green's theorem, Gauss' divergence theorem, Stokes' theorem

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) ・The students should take a course of calculus before taking this lecture.
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) Program of Mechanical Systems Engineering
（Abilities and Skills）
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

Program of Transportation Systems
（Knowledge and Understanding）
・Mathematical and mechanical subjects: To understand basic knowledge of mathematical dynamical system, which is essential knowledge for engineers and researchers.
（Abilities and Skills）
・Mathematical and mechanical subjects: Ability to create questions and analyze by utilizing basic knowledge of mathematical dynamical systems.

Program of Material Processing
（Abilities and Skills）
・Acquiring basis of mechanical system, material creation and processing engineering steadily, and being able to apply

Program of Energy Transform Engineering
（Abilities and Skills）
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

Program of Electrical,Systems and Information Engineering
（Abilities and Skills）
・Mathematical methods required for professionals in electrical,  systems, and information engineering.

Program of Semiconductor Systems
（Abilities and Skills）
・Mathematical methods required for professionals in semiconductor engineering.

Program of Applied Chemistry
（Knowledge and Understanding）
・Wide range of basic knowledge on liberal arts and specialized education, and professional basic knowledge on chemistry.

Program of Chemical Engineering
（Abilities and Skills）
・Definite learning of basic chemistry and chemical engineering and cultivation of application ability
engineering basis.

Program of Biotechnology
（Knowledge and Understanding）
・Acquisition of basic and advanced knowledge relating to biotechnology and life science. (Target/Lecture class)

Program of Civil and Environmental Engineering
（Abilities and Skills）
・Ability to analyze  problems

Program of Architecture and Building Engineering
（Knowledge and Understanding）
・Understanding on learning basic engineering knowledge. (Being able to explain basic contents of mathematics, physics and information technology.  Being able to apply the basic contents to architecture and building engineering)

Class Objectives
/Class Outline We shall give the basic concepts in the vector calculus with
their physical significance, which have have basic engineering applications
in electromagnetism, solid mechanics ,and in fluid flow.

Class Schedule lesson1 Guidance, Basic properties of vectors
lesson2 Cross products of vectors, scalar triple products
lesson3 Derivatives of vectors
lesson4 Gradient of scalar fields
lesson5 Divergence of vector fields
lesson6 Rotation of vector fields
lesson7 Curves
lesson8 Line integral for scalar fields
lesson9 Line integral for vector fields
lesson10 Surfaces
lesson11 Surface integrals
lesson12 Green's theorem
lesson13 Gauss' divergence theorem
lesson14 Stokes' theorem
lesson15 Applications of integral formulas

lesson 16: Examination

Text/Reference
Books,etc. 教科書　「線形代数とベクトル解析（第８版）」E. クライツィグ著、堀素夫訳
参考書　「演習　ベクトル解析」寺田文行•坂田泩・斎藤偵四郎共著，サイエンス社

PC or AV used in
Class,etc. Text, Microsoft Teams, moodle

(More Details) We use Moodle for Handouts and Assignments.

Learning techniques to be incorporated Post-class Report

Suggestions on
Preparation and
Review Please look back over the examples of the subject of each lecture, and brush up on it.

Requirements

Grading Method homework on Moodle（30%） and the result of the final exam（70%）

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	School of Engineering
Lecture Code	K0202030	Subject Classification	Specialized Education
Subject Name	応用数学II
Subject Name （Katakana）	オウヨウスウガク　２
Subject Name in English	Applied Mathematics II
Instructor	WAKASUGI YUUTA
Instructor (Katakana)	ワカスギ　ユウタ
Campus	Higashi-Hiroshima	Semester/Term	2nd-Year, First Semester, 1Term
Days, Periods, and Classrooms	(1T) Weds1-2,Fri1-2：ENG 107
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face, Online (simultaneous interactive)
Details will be given later.
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	Second-year, Cluster III
Keywords	Vector analysis, Scalar field, Vector field, Gradient, Divergence, Rotation, Line integral, Surface integral, Green's theorem, Gauss' divergence theorem, Stokes' theorem
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)	・The students should take a course of calculus before taking this lecture.
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)	Program of Mechanical Systems Engineering （Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill. Program of Transportation Systems （Knowledge and Understanding）・Mathematical and mechanical subjects: To understand basic knowledge of mathematical dynamical system, which is essential knowledge for engineers and researchers. （Abilities and Skills）・Mathematical and mechanical subjects: Ability to create questions and analyze by utilizing basic knowledge of mathematical dynamical systems. Program of Material Processing （Abilities and Skills）・Acquiring basis of mechanical system, material creation and processing engineering steadily, and being able to apply Program of Energy Transform Engineering （Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill. Program of Electrical,Systems and Information Engineering （Abilities and Skills）・Mathematical methods required for professionals in electrical, systems, and information engineering. Program of Semiconductor Systems （Abilities and Skills）・Mathematical methods required for professionals in semiconductor engineering. Program of Applied Chemistry （Knowledge and Understanding）・Wide range of basic knowledge on liberal arts and specialized education, and professional basic knowledge on chemistry. Program of Chemical Engineering （Abilities and Skills）・Definite learning of basic chemistry and chemical engineering and cultivation of application ability engineering basis. Program of Biotechnology （Knowledge and Understanding）・Acquisition of basic and advanced knowledge relating to biotechnology and life science. (Target/Lecture class) Program of Civil and Environmental Engineering （Abilities and Skills）・Ability to analyze problems Program of Architecture and Building Engineering （Knowledge and Understanding）・Understanding on learning basic engineering knowledge. (Being able to explain basic contents of mathematics, physics and information technology. Being able to apply the basic contents to architecture and building engineering)
Class Objectives /Class Outline	We shall give the basic concepts in the vector calculus with their physical significance, which have have basic engineering applications in electromagnetism, solid mechanics ,and in fluid flow.
Class Schedule	lesson1 Guidance, Basic properties of vectors lesson2 Cross products of vectors, scalar triple products lesson3 Derivatives of vectors lesson4 Gradient of scalar fields lesson5 Divergence of vector fields lesson6 Rotation of vector fields lesson7 Curves lesson8 Line integral for scalar fields lesson9 Line integral for vector fields lesson10 Surfaces lesson11 Surface integrals lesson12 Green's theorem lesson13 Gauss' divergence theorem lesson14 Stokes' theorem lesson15 Applications of integral formulas lesson 16: Examination
Text/Reference Books,etc.	教科書　「線形代数とベクトル解析（第８版）」E. クライツィグ著、堀素夫訳参考書　「演習　ベクトル解析」寺田文行•坂田泩・斎藤偵四郎共著，サイエンス社
PC or AV used in Class,etc.	Text, Microsoft Teams, moodle
(More Details)	We use Moodle for Handouts and Assignments.
Learning techniques to be incorporated	Post-class Report
Suggestions on Preparation and Review	Please look back over the examples of the subject of each lecture, and brush up on it.
Requirements
Grading Method	homework on Moodle（30%） and the result of the final exam（70%）
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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