| Academic Year |
2024Year |
School/Graduate School |
School of Engineering |
| Lecture Code |
K7554030 |
Subject Classification |
Specialized Education |
| Subject Name |
化工数学 |
Subject Name
（Katakana） |
カコウスウガク |
Subject Name in
English |
Mathematics for Chemical Engineers |
| Instructor |
SHIMADA MANABU |
Instructor
(Katakana) |
シマダ マナブ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
2nd-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Mon3-4：ENG 115, (3T) Fri1：ENG 114, (3T) Fri2 |
| 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
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | 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:
Guidance
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 |
Text/Reference
Books,etc. |
Handouts
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
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
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 |
| Requirements |
|
| 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. |