Applied Mathematics in Civil & Earth Resources Engineering
Numbering Code |
G-ENG02 5F053 LJ55 G-ENG01 5F053 LJ55 |
Year/Term | 2022 ・ First semester |
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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) |
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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. |
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Course Goals |
The goal is to acquire a systematic understanding of fundamental theory of the data analysis. |
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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. |
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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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