Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2017Year School of Engineering K8051040 Specialized Education 数学力学演習I スウガクリキガクエンシュウ　１ Exercises in Mathematics and Dynamics I TANAKA SUSUMU タナカ　ススム Higashi-Hiroshima 2nd-Year,  First Semester,  First Semester (1st) Fri1-2：ENG 106 Seminar Mathematical exercises related to vehicle dynamics and environmental systems 1 J : Japanese 2 : Undergraduate Low-Intermediate 25 : Science and Technology 25 : Integrated Engineering Students in the second year of vehicle & environmental systems program Differential and integral calculus, Matrix, Vector, Ordinary differential equation, Dynamics, Ships, Automobiles, Aircraft 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. This class provides engineering students mathematical experiences in the vehicle dynamics and environmental topics. lesson1 Guidance, Integral Calculus: fractional function, exponential function, trigonometric functionlesson2 Differential Calculus: Taylor expansion, Euler's formula, notation for differentiation, definition of differential equationlesson3 First-Order Ordinary Differential Equation: direct integration, separation of variables, homogeneous equation into aseparable onelesson4 First-Order Ordinary Differential Equation: linear differential equation, exact differential equationlesson5 Second-Order Linear Ordinary Differential Equation: homogeneous equations with constant coefficientslesson6 Second-Order Linear Ordinary Differential Equation: inhomogeneous equations with constant coefficientslesson7 Second-Order Linear Ordinary Differential Equation: vibrating system with one degree of freedomlesson8 Midterm Examlesson9 Higher Order Differential Equation and Simultaneous Differential Equationslesson10 Determinant of Matrix, Inverse Matrixlesson11 Eigenvalues and eigenvectors of matrix, Similarity transformation and diagonalizationlesson12 Applications of Matrices: simultaneous differential equationslesson13 Applications of Matrices: simultaneous linear equationslesson14 Applications of Matrices: eigenvalue analysis of vibrating system with two degrees of freedomlesson15 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. Reading material, Visual aids (Power Point, Video) Please review mathematics and dynamics in first year. 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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