Mathematical Science in Development Engineering Mathematical Science in Development Engineering
講義概要
Basic mathematical science is learned for international developing engineering. Hilbert space, Banach space, linear functional, projection theorem, and optimum control problem are explained related to the functional analysis and optimization theorem. Furthermore, their applications are provide.
講義の目的
The objective of this course is to provide basic mathematics for understanding control theory in mechanical production and various phenomena in the international development engineering. The linear algebra, functional analysis, and the optimization theory, which are very important bases of mathematics, are explained.
講義計画
01.Introduction
02.Linear algebra
03.Hilbert space
04.Least square estimation
05.Dual space
06.Linear operator
07.Adjoint operator
08.Optimization of functional
教科書・参考書等
David G. Luenberger: ""Optimization by Vector space Method,"" John Wily & Sons, Inc. New York 1969
関連科目・履修の条件等
Students should have completed courses of ""linear algebra"" and ""functional analysis"" in undergraduate cours
成績評価
Grade is based on excises during lectures and report to evaluate understanding of linear algebra and optimization.
