K8150140 Mathematics of Civil Engineering

Hiroshima University Syllabus

Japanese

Academic Year 2025Year School/Graduate School School of Engineering

Lecture Code K8150140 Subject Classification Specialized Education

Subject Name 土木数学

Subject Name
（Katakana）ドボクスウガク

Subject Name in
English Mathematics of Civil Engineering

Instructor FUSE MASAAKI,KHAJI NASER,UCHIDA TATSUHIKO

Instructor
(Katakana) フセ　マサアキ,カジ　ナセル,ウチダ　タツヒコ

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

Days, Periods, and Classrooms (2T) Fri5-8：ENG 219

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

Exercise

Credits 2.0 Class Hours/Week 4 Language of Instruction B : Japanese／English

Course Level 2 : Undergraduate Low-Intermediate

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 13 : Civil Engineering

Eligible Students 社会基盤環境工学プログラム2年前期（3セメスター）（選択必修①）

Keywords Infrastructure Planning Mathematics, Structural Mechanics Mathematics, Hydraulics Mathematics

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) This class corresponds to D) Ability to analyze problems in the learning and educational objectives of this program.
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) Program of Civil and Environmental Engineering
（Abilities and Skills）
・Ability to analyze  problems

Class Objectives
/Class Outline The goal of this class is to learn mathematics essential for studying infrastructure planning, structural mechanics, and hydraulics in the form of exercises.

Evaluation items
1. Ability to understand and explain game theory and its solutions required in infrastructure planning.
2. Ability to understand and explain optimization methods and their solutions required in structural mechanics.
3. Ability to understand and explain partial differential equations and their solutions required in hydraulics.

Class Schedule Lesson 1 Guidance, Introduction to Game Theory
Lesson 2 Dominance strategy, Nash equilibrium
Lesson 3 Mixed strategies, Evolutionary dynamics
Lesson 4 Partially complete equilibria, Repeated games
Lesson 5 Bayesian Nash equilibrium, Perfect Bayesian equilibrium
Lesson 6 Systems of Linear Equations, Row Reduction and Echelon Forms
Lesson 7 Vector Equations, Matrix Equations
Lesson 8 Solution Sets of Linear Systems, Applications of Linear Systems
Lesson 9 Linear Independence
Lesson 10 Introduction to Linear Transformations
Lesson 11 Introduction to mathematics for hydraulics, Partial differential equations, Rotation and divergence of vector fields, Tensors
Lesson 12 Partial differential equation solving (diffusion equation), Basics of numerical analysis (Taylor expansion, error)
Lesson 13 Potential flow and complex function
Lesson 14 Waves and complex functions, differential amplitude wave theory
Lesson 15 Differentiation and integration (Leibniz rule) and shallow water flow equation

Three short tests will be given in total.

Classes 6 through 10 will be taught in English.

Text/Reference
Books,etc. There is no textbook or reference book.

PC or AV used in
Class,etc. moodle

(More Details)

Learning techniques to be incorporated Quizzes/ Quiz format

Suggestions on
Preparation and
Review Students are required to review the mathematics and other subjects in the Liberal Arts Course before coming to class.
Students are expected to review the previous exercises before the lectures.

Requirements Basic subjects preceding this course: Applied Mathematics I, Applied Mathematics II
Specialized subjects that are useful for this subject Infrastructure Planning, Structural Mechanics, Hydraulics, etc.

Grading Method The student's attitude and the short tests will be converted into a perfect score of 100 points, and a score of 60 or more will be considered as a passing credit.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message This class is an opportunity to experience the fun of mathematics related to Civil and environmental engineering. We hope you will enjoy it.

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	2025Year	School/Graduate School	School of Engineering
Lecture Code	K8150140	Subject Classification	Specialized Education
Subject Name	土木数学
Subject Name （Katakana）	ドボクスウガク
Subject Name in English	Mathematics of Civil Engineering
Instructor	FUSE MASAAKI,KHAJI NASER,UCHIDA TATSUHIKO
Instructor (Katakana)	フセ　マサアキ,カジ　ナセル,ウチダ　タツヒコ
Campus	Higashi-Hiroshima	Semester/Term	2nd-Year, First Semester, 2Term
Days, Periods, and Classrooms	(2T) Fri5-8：ENG 219
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face
Exercise
Credits	2.0	Class Hours/Week	4	Language of Instruction	B : Japanese／English
Course Level	2 : Undergraduate Low-Intermediate
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	13 : Civil Engineering
Eligible Students	社会基盤環境工学プログラム2年前期（3セメスター）（選択必修①）
Keywords	Infrastructure Planning Mathematics, Structural Mechanics Mathematics, Hydraulics Mathematics
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)	This class corresponds to D) Ability to analyze problems in the learning and educational objectives of this program.
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)	Program of Civil and Environmental Engineering （Abilities and Skills）・Ability to analyze problems
Class Objectives /Class Outline	The goal of this class is to learn mathematics essential for studying infrastructure planning, structural mechanics, and hydraulics in the form of exercises. Evaluation items 1. Ability to understand and explain game theory and its solutions required in infrastructure planning. 2. Ability to understand and explain optimization methods and their solutions required in structural mechanics. 3. Ability to understand and explain partial differential equations and their solutions required in hydraulics.
Class Schedule	Lesson 1 Guidance, Introduction to Game Theory Lesson 2 Dominance strategy, Nash equilibrium Lesson 3 Mixed strategies, Evolutionary dynamics Lesson 4 Partially complete equilibria, Repeated games Lesson 5 Bayesian Nash equilibrium, Perfect Bayesian equilibrium Lesson 6 Systems of Linear Equations, Row Reduction and Echelon Forms Lesson 7 Vector Equations, Matrix Equations Lesson 8 Solution Sets of Linear Systems, Applications of Linear Systems Lesson 9 Linear Independence Lesson 10 Introduction to Linear Transformations Lesson 11 Introduction to mathematics for hydraulics, Partial differential equations, Rotation and divergence of vector fields, Tensors Lesson 12 Partial differential equation solving (diffusion equation), Basics of numerical analysis (Taylor expansion, error) Lesson 13 Potential flow and complex function Lesson 14 Waves and complex functions, differential amplitude wave theory Lesson 15 Differentiation and integration (Leibniz rule) and shallow water flow equation Three short tests will be given in total. Classes 6 through 10 will be taught in English.
Text/Reference Books,etc.	There is no textbook or reference book.
PC or AV used in Class,etc.	moodle
(More Details)
Learning techniques to be incorporated	Quizzes/ Quiz format
Suggestions on Preparation and Review	Students are required to review the mathematics and other subjects in the Liberal Arts Course before coming to class. Students are expected to review the previous exercises before the lectures.
Requirements	Basic subjects preceding this course: Applied Mathematics I, Applied Mathematics II Specialized subjects that are useful for this subject Infrastructure Planning, Structural Mechanics, Hydraulics, etc.
Grading Method	The student's attitude and the short tests will be converted into a perfect score of 100 points, and a score of 60 or more will be considered as a passing credit.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message	This class is an opportunity to experience the fun of mathematics related to Civil and environmental engineering. We hope you will enjoy it.
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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