Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2024Year School of Engineering K8150140 Specialized Education 土木数学 ドボクスウガク Mathematics of Civil Engineering FUSE MASAAKI,KHAJI NASER,UCHIDA TATSUHIKO フセ　マサアキ,カジ　ナセル,ウチダ　タツヒコ Higashi-Hiroshima 2nd-Year,  First Semester,  2Term (2T) Fri5-8：ENG 219 Lecture Exercise 2.0 B : Japanese／English 2 : Undergraduate Low-Intermediate 25 : Science and Technology 13 : Civil Engineering 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） Infrastructure Planning Mathematics, Structural Mechanics Mathematics, Hydraulics Mathematics This class corresponds to D) Ability to analyze problems in the learning and educational objectives of this program. Program of Civil and Environmental Engineering（Abilities and Skills）・Ability to analyze  problems The goal of this class is to learn mathematics essential for studying infrastructure planning, structural mechanics, and hydraulics in the form of exercises.Evaluation items1. 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. lesson1 Guidance, Introduction to Game Theorylesson2 Dominance strategy, Nash equilibriumlesson3 Mixed strategies, Evolutionary dynamicslesson4 Partially complete equilibria, Repeated gameslesson5 Bayesian Nash equilibrium, Perfect Bayesian equilibrium lesson6 Forward and Inverse Problems in Structural Systemslesson7 Fundamentals of Inverse Problemslesson8 Regularization for Ill-Posed Problemslesson9 Conventional Optimization Techniqueslesson10 Fundamentals of Genetic Algorithms and Artificial Neural Networkslesson11 Introduction to mathematics for hydraulics, Partial differential equations, Rotation and divergence of vector fields, Tensorslesson12 Partial differential equation solving (diffusion equation), Basics of numerical analysis (Taylor expansion, error)lesson13 Potential flow and complex functionlesson14 Waves and complex functions, differential amplitude wave theorylesson15 Differentiation and integration (Leibniz rule) and shallow water flow equationThree short tests will be given in total.Classes 6 through 10 will be taught in English. There is no textbook or reference book. 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. Basic subjects preceding this course: Applied Mathematics I, Applied Mathematics IISpecialized subjects that are useful for this subject Infrastructure Planning, Structural Mechanics, Hydraulics, etc. 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. This class is an opportunity to experience the fun of mathematics related to Civil and environmental engineering. We hope you will enjoy 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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