Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2022Year School of Informatics and Data Science KA119001 Specialized Education システム最適化 システムサイテキカ System Optimization MUKAIDANI HIROAKI ムカイダニ　ヒロアキ Higashi-Hiroshima 2nd-Year,  Second Semester,  3Term (3T) Mon9-10,Weds9-10：ENG 116 Lecture Lecture 2.0 B : Japanese／English 2 : Undergraduate Low-Intermediate 25 : Science and Technology 01 : Mathematics/Statistics Optimization Informatics and Data Science Program（Comprehensive Abilities）・I2. Ability to provide the most appropriate system solution to a cross-sectional problem in the diversified and complicated information society based on the many forms of cutting edge information technology. In this lecture, optimization is discussed to analyze mathematical sciences. By using these results, various operation which should be optimized is decided. lesson1 What is optimization? lesson2 Unconstrained nonlinear optimization problem: multivariable calculus, gradient and Hessian matrixlesson3 Unconstrained nonlinear optimization problem: applicationlesson4 Constrained nonlinear optimization problem: Lagrange multipliers technique, exampleslesson5 Nonlinear optimization with inequality constraints (KKT condition)lesson6 Numerical algorithm 1: contraction mappinglesson7 Numerical algorithm 2: Newton's methodlesson8 Numerical algorithm 3: gradient descent methodlesson9 Variational calculus 1: Euler–Lagrange equationlesson10 Variational calculus 2: various necessary conditionslesson11 Variational calculus 3: Brachistochrone curvelesson12 Variational calculus 4: geodesiclesson13 Variational calculus 5: constrained caselesson14 Optimal control problemlesson15 dynamic programming: applications and examples Reference ：田村明久，村松正和，「最適化法」，共立出版，ISBN4320016165Reference ：加藤直樹，「数理計画法」，コロナ社，ISBN9784339027198Reference ：太田光雄　編，「自動制御：電気・電子・情報基礎シリーズ3」，朝倉書店，ISBN9784254225938 blackboard For each lecture, the review should be needed by reading the text book. Furthermore, the practical calculation and simulation would be helpful. Calculus and Linear Algebra are mandatory. Mini-tests (10%) and Final exam (90%) 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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