Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2022Year School of Engineering K0207052 Specialized Education 応用数理Ｃ オウヨウスウリ　C Engineering Mathematics C IKEHATA MASARU,SHIBATA TETSUTARO イケハタ　マサル,シバタ　テツタロウ Higashi-Hiroshima 2nd-Year,  Second Semester,  4Term (4T) Thur1-2,Fri3-4：Online Lecture Lecture 2.0 J : Japanese 2 : Undergraduate Low-Intermediate 25 : Science and Technology 01 : Mathematics/Statistics Holomorphic functions,   Comformal mapping, Cauchy's integral theorem and formula, Residue This course is set in one of the applied mathematics required to understanding the engineering. Program of Mechanical Systems Engineering（Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill.Program of Transportation 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.Program of Material Processing（Abilities and Skills）・Acquiring basis of mechanical system, material creation and processing engineering steadily, and being able to applyProgram of Energy Transform Engineering（Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill.Program of Electrical,Systems and Information Engineering（Abilities and Skills）・Mathematical methods required for professionals in electrical,  systems, and information engineering.Program of Electronic Devices and Systems（Abilities and Skills）・Mathematical methods required for professionals in electronics engineering. We shall give the fundamental concepts in complex analysis and illustrate their applications to engineering and physics. The students will be able to calculate with complex numbers and understand the properties of functions. lesson1 Complex numbers and complex planelesson2 Complex plane and complex functionslesson3 Limit, continuity and derivative of complex functionslesson4 Holomorphic functions and Cauchy-Riemann equationslesson5 Properties of holomorphic functions Ilesson6 Basic holomorphic functions lesson7 Complex integralslesson8 Cauchy Integral theorems lesson9 Application of Cauchy Integral theorems lesson10 Cauchy's integral formulalesson11 Taylor series of holomorphic functionslesson12 Properties of holomorphic functionslesson13 Laurent series and residue theoremlesson14 Applications of residue theoremlesson15 Application to integralassignment and final assiginment 「複素解析」（矢野健太郎・石原　繁 共著,裳華房） The textbook and other materials Please look back over the examples of the subject of each lecture, and brush up on it. assignment and final assignment.  To  pass,  students must earn at least 60 points out of 100 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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