Hiroshima University Syllabus

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Academic Year 2022Year School/Graduate School School of Engineering
Lecture Code K7554030 Subject Classification Specialized Education
Subject Name 化工数学
Subject Name
Subject Name in
Mathematics for Chemical Engineers
シマダ マナブ
Campus Higashi-Hiroshima Semester/Term 2nd-Year,  Second Semester,  3Term
Days, Periods, and Classrooms (3T) Mon3-4:ENG 112, (3T) Fri1-2:ENG 114
Lesson Style Lecture Lesson Style
(More Details)
Oral lecture (might be partially or fully changed to online class) 
Credits 2.0 Class Hours/Week   Language of Instruction B : Japanese/English
Course Level 3 : Undergraduate High-Intermediate
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 08 : Chemical Engineering
Eligible Students Undergraduate students of Cluster 3 (Applied Chemistry, Biotechnology, and Chemical Engineering), Faculty of Engineering
Keywords vector analysis, differential equation, Fourier transform, Laplace transform 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Criterion referenced
Program of Chemical Engineering
(Abilities and Skills)
・Definite learning of basic chemistry and chemical engineering and cultivation of application ability
engineering basis.  
Class Objectives
/Class Outline
Lectures are given aiming at learning applied mathematics necessary for chemical engineers.  
Class Schedule lesson 1:

lesson 2:
Operation of scalar and vector, expression of variables by vector and vector function

lesson 3:
Gradient of scalar, divergence and rotation of vector, relation to physical phenomena

lesson 4:
Coordinate transformation, tensor

lesson 5:
Complex function, vibration equation of motion, wave equation

lesson 6:
Typical differential equations in chemical engineering

lesson 7:
Kinds of differential equations

lesson 8:
Solution of linear ordinary differential equation with constant coefficients

lesson 9:
Intermediate examination

lesson 10:
Solution of partial differential equations

lesson 11:
Fourier series expansion, Fourier coefficients

lesson 12:
Solution of differential equation using Fourier transform

lesson 13:
Concept of Laplace transform, Laplace transform of typical functions

lessons 14 and 15:
Solution of differential equation using Laplace transform, theorems for Laplace transform

lesson 16:
Final examination

Quizzes are also given 
Study aid book:「工学系数学テキストシリーズ 応用数学」(上野健爾監修、工学系数学教材研究会編、森北出版) 
PC or AV used in
(More Details)  
Learning techniques to be incorporated  
Suggestions on
Preparation and
For lessons 1-8, 10-15: Preparation of handouts and study aid book; review of notebook and quizzes
For lessons 9 and 16: Review of handouts, notebook, study aid book, and quizzes 
Grading Method Grading will be determined by the evaluation of the examinations and quizzes on a 100-point scale. A score of 60-points or more will pass. 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Message Additional information will be provided when this class is changed to online class. 
Other https://www.hiroshima-u.ac.jp/prog/program/syusenkou/haipuro_kou/kagakukougaku 
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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