Applied Mathematics in Civil & Earth Resources Engineering

Numbering Code G-ENG02 5F053 LJ55
G-ENG01 5F053 LJ55
Year/Term 2022 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Tue.5
Instructor name TSUKADA KAZUHIKO (Graduate School of Engineering Professor)
SAITOU JIYUN (Graduate School of Engineering Associate Professor)
Outline and Purpose of the Course Linear inverse problems and nonlinear inverse problems are introduced
as a basic tool to solve engineering problems. Application of data
analysis to engineering problems is also introduced.
Course Goals The goal is to acquire a systematic understanding of fundamental theory
of the data analysis.
Schedule and Contents Liner problems and Generalized inverses, 5 times,
Inverse problems, solution of linear inverse problems, generalized
inverse, Application of vector space and singular-value decomposition

Maximum likelihood methods, Continuous inverse problems, 4 times,
Maximum likelihood Applied to inverse problem, nonlinear problems,
Continuous inverse problems

Application of data analysis, 5 times
Application of data analysis to Engineering problems

Achievement confirmation, 1 time
Comprehension check of course contents.
Evaluation Methods and Policy Evaluation is based on reports and the final examination.
Course Requirements Fundamental knowledge of linear algebra and probabilistic analysis
Study outside of Class (preparation and review) Review through the report.
References, etc. 離散インバース理論―逆問題とデータ解析, William Menke (原著), 柳谷 俊 (翻訳), 塚田 和彦 (翻訳) , (古今書院), ISBN:4772215581, 原著(Geophysical Data Analysis: Discrete Inverse Theory, 3rd Edition)
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