Hiroshima University Syllabus

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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
スウガクリキガクエンシュウ 1
Subject Name in
Exercises in Mathematics and Dynamics I
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
Criterion referenced
Vehicle 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 Outline
This 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. 
Reading material and visual aids(Power Point and video) will be given in class. 
PC or AV used in
Reading material, Visual aids (Power Point, Video) 
Suggestions on
Preparation and
Please review mathematics and dynamics in first year. 
Grading Method Class assignment, Report, Minitest 30%
Midterm Exam 35%
Term-end Exam 35% 
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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