K0202010 Applied Mathematics II

Hiroshima University Syllabus

Japanese

Academic Year 2026Year School/Graduate School School of Engineering

Lecture Code K0202010 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 KAWASITA WAKAKO

Instructor
(Katakana) カワシタ　ワカコ

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

Days, Periods, and Classrooms (1T) Weds1-2,Thur5-6：ENG 220

Lesson Style Lecture Lesson Style
(More Details) Face-to-face

Face-to-face lecture-centered,
Online (on demand) classes may be conducted depending on circumstances.

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 students (Mechanical Systems Engineering ・Mechanical Science and Engineering)

Keywords Vector fields, Gradient, Rotation, Divergence, Line integrals, Surface integrals, Stokes' theorem, Divergence theorem

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) This course is set in one of the applied mathematics required to understanding the engineering.
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 propeties of vectors
lesson2 Derivatives of vector functions
lesson3 Curves
lesson4 Scalar field, Vector field
lesson5 Gradient
lesson6 Divergence, Rotation
lesson7 Basic Formulas of grad, div and rot
lesson8 Line integrals
lesson9 Surface integrals
lesson10 Surface orientation, Volume integral
lesson11 Divergence Theorem
lesson12 Stokes' Theorem
lesson13 Green's Theorem in the Plane
lesson14 Applications of Integral theorems (1)
lesson15 Applications of Integral theorems (2)

Class16: Final Exam

Text/Reference
Books,etc. Text: 「ベクトル解析」矢野健太郎・石原繁共著、裳華房
Reference book: 「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, Handouts, moodle

(More Details) Submit materials and assignments via Moodle.

Learning techniques to be incorporated Post-class Report

Suggestions on
Preparation and
Review Please work on the assignments for each session and review the material.

Requirements None

Grading Method Grades will be based primarily on assignments (30%) and the final exam (70%).

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other Details regarding the format of classes and the method of conducting exams will be provided at a later date.

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	K0202010	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	KAWASITA WAKAKO
Instructor (Katakana)	カワシタ　ワカコ
Campus	Higashi-Hiroshima	Semester/Term	2nd-Year, First Semester, 1Term
Days, Periods, and Classrooms	(1T) Weds1-2,Thur5-6：ENG 220
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face
Face-to-face lecture-centered, Online (on demand) classes may be conducted depending on circumstances.
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 students (Mechanical Systems Engineering ・Mechanical Science and Engineering)
Keywords	Vector fields, Gradient, Rotation, Divergence, Line integrals, Surface integrals, Stokes' theorem, Divergence theorem
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)	This course is set in one of the applied mathematics required to understanding the engineering.
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 propeties of vectors lesson2 Derivatives of vector functions lesson3 Curves lesson4 Scalar field, Vector field lesson5 Gradient lesson6 Divergence, Rotation lesson7 Basic Formulas of grad, div and rot lesson8 Line integrals lesson9 Surface integrals lesson10 Surface orientation, Volume integral lesson11 Divergence Theorem lesson12 Stokes' Theorem lesson13 Green's Theorem in the Plane lesson14 Applications of Integral theorems (1) lesson15 Applications of Integral theorems (2) Class16: Final Exam
Text/Reference Books,etc.	Text: 「ベクトル解析」矢野健太郎・石原繁共著、裳華房 Reference book: 「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, Handouts, moodle
(More Details)	Submit materials and assignments via Moodle.
Learning techniques to be incorporated	Post-class Report
Suggestions on Preparation and Review	Please work on the assignments for each session and review the material.
Requirements	None
Grading Method	Grades will be based primarily on assignments (30%) and the final exam (70%).
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other	Details regarding the format of classes and the method of conducting exams will be provided at a later date.
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