Hiroshima University Syllabus

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Academic Year 2022Year School/Graduate School School of Engineering
Lecture Code K0202010 Subject Classification Specialized Education
Subject Name 応用数学II
Subject Name
オウヨウスウガク 2
Subject Name in
Applied Mathematics II
Instructor SANO MEGUMI
サノ メグミ
Campus Higashi-Hiroshima Semester/Term 2nd-Year,  First Semester,  1Term
Days, Periods, and Classrooms (1T) Tues1-2,Weds1-2:ENG 220
Lesson Style Lecture Lesson Style
(More Details)
Credits 2.0 Class Hours/Week   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
This course is set in one of the applied mathematics required to understanding the engineering. 
Criterion referenced
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 Electronic Devices and Systems
(Abilities and Skills)
・Mathematical methods required for professionals in electronics 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, Curves (1)
lesson3  Derivatives of vector functions, Curves (2)
lesson4  Scalar field, Vector field
lesson5  Gradient, Rotation, Divergence (1)
lesson6  Gradient, Rotation, Divergence (2)
lesson7  Gradient, Rotation, Divergence (3)
lesson8  Line integrals, Surface integrals (1)
lesson9  Line integrals, Surface integrals (2)
lesson10 Line integrals, Surface integrals (3)
lesson11 Stokes' theorem, Divergence theorem (1)
lesson12 Stokes' theorem, Divergence theorem (2)
lesson13 Stokes' theorem, Divergence theorem (3)
lesson14 Applications of Integral theorems (1)
lesson15 Applications of Integral theorems (2)

Class16: Final exam 
教科書 「ベクトル解析」矢野健太郎・石原繁 共著,裳華房
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
(More Details) Text book and printed materials. 
Learning techniques to be incorporated  
Suggestions on
Preparation and
Students are advised to ruminate the new ideas appear in each class. 
Grading Method Examination
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
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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