情報科学の基礎となる数学のうち,集合,関係,束,情報理論,代数系(群,環,体),およびその情報的応用(符合,暗号,乱数等)を扱う.
Study basic mathematics for information science; set, relation, lattice, abstract algebra (group, ring, field), information theory, coding theory, cryptography and random numbers.
The objective of this course is to brush up the mathematical skills required in advanced mechanical engineering through solving the example problems. Besides, solutions of partial differential equations are explained with the emphasis of the related physics. The methods using Green’s functions for nonhomogeneous differential equations are explained. Singular perturbation problems and renormalization technique are also explained as tools to obtain the approximate solutions. Furthermore, homogenization method, optimal design, structural optimization and sensitivity analysis are explained.
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FEN-MX5b23L3
FEN-MX5b23L3
機械系応用数学(Applied Mathematics for Mechanical Engineering)
This is an introductory course on mathematical methods for public policy analysis, designed for GraSPP students without a strong background in mathematics. Students from non-economics, non-engineering, or non-science majors are especially welcomed. The course helps students develop a solid mathematical foundation, enabling them to apply essential mathematical techniques to public policy issues. It is structured into four parts: 1. differential calculus, 2. linear algebra, 3. multivariate calculus and constrained static optimization, 4. dynamic optimization and linear dynamic systems.
The primary goal of the course is to provide students with an integrated view of how the basic concepts of mathematics and physics are applied to collecting information about a system. Upon successful completion of this course, the student will have:
-acquired a basic knowledge of the physics of information,
-gained an understanding of the physical principles of a broad range of modern sensors,
-developed skills in data analysis and system modeling.