Hiroshima University Syllabus |

Japanese

Academic Year 2017Year School/Graduate School School of Engineering Lecture Code K8051040 Subject Classification Specialized Education Subject Name 数学力学演習I Subject Name

（Katakana）スウガクリキガクエンシュウ １ Subject Name in

EnglishExercises in Mathematics and Dynamics I Instructor TANAKA SUSUMU Instructor

(Katakana)タナカ ススム Campus Higashi-Hiroshima Semester/Term 2nd-Year, First Semester, First Semester Days, Periods, and Classrooms (1st) Fri1-2：ENG 106 Lesson Style Seminar Lesson Style

【More Details】Mathematical exercises related to vehicle dynamics and environmental systems Credits 1 Class Hours/Week Language on Instruction J : Japanese Course Level 2 : Undergraduate Low-Intermediate Course Area（Area） 25 : Science and Technology Course Area（Discipline） 25 : Integrated Engineering Eligible Students Students in the second year of vehicle & environmental systems program Keywords Differential and integral calculus, Matrix, Vector, Ordinary differential equation, Dynamics, Ships, Automobiles, Aircraft Special Subject for Teacher Education Special Subject Class Status

within Educational

ProgramCriterion referenced

EvaluationVehicle and Environmental 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.Class Objectives

/Class OutlineThis class provides engineering students mathematical experiences in the vehicle dynamics and environmental topics. Class Schedule lesson1 Guidance, Integral Calculus: fractional function, exponential function, trigonometric function

lesson2 Differential Calculus: Taylor expansion, Euler's formula, notation for differentiation, definition of differential equation

lesson3 First-Order Ordinary Differential Equation: direct integration, separation of variables, homogeneous equation into a

separable one

lesson4 First-Order Ordinary Differential Equation: linear differential equation, exact differential equation

lesson5 Second-Order Linear Ordinary Differential Equation: homogeneous equations with constant coefficients

lesson6 Second-Order Linear Ordinary Differential Equation: inhomogeneous equations with constant coefficients

lesson7 Second-Order Linear Ordinary Differential Equation: vibrating system with one degree of freedom

lesson8 Midterm Exam

lesson9 Higher Order Differential Equation and Simultaneous Differential Equations

lesson10 Determinant of Matrix, Inverse Matrix

lesson11 Eigenvalues and eigenvectors of matrix, Similarity transformation and diagonalization

lesson12 Applications of Matrices: simultaneous differential equations

lesson13 Applications of Matrices: simultaneous linear equations

lesson14 Applications of Matrices: eigenvalue analysis of vibrating system with two degrees of freedom

lesson15 Vector Calculus: dot and cross products, vector function, scalar and vector fields

*Midterm and Term-end Exams will be done after lesson 7 and 15, respectively.

*Solutions to the mathematics and dynamics problems must be submitted as reports at least twice.Text/Reference

Books,etc.Reading material and visual aids(Power Point and video) will be given in class. PC or AV used in

Class,etc.Reading material, Visual aids (Power Point, Video) Suggestions on

Preparation and

ReviewPlease review mathematics and dynamics in first year. Requirements Grading Method Class assignment, Report, Minitest 30%

Midterm Exam 35%

Term-end Exam 35%Message 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.