Mathematics for Chemical Engineering II
| Numbering Code |
U-ENG27 37305 LJ76 U-ENG27 37305 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 | Fri.1 | |
| Instructor name |
NAGAMINE SHINSUKE (Graduate School of Engineering Associate Professor) TANIGUCHI TAKASHI (Graduate School of Engineering Associate Professor) |
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| Outline and Purpose of the Course | We will give a series of lectures on necessary mathematical knowledge and skills when students will learn subjects in the chemical engineering course, especially on Probability and Statistics, Fourier Transformation, Partial Differential Equations. | |||
| Course Goals | Goal of the class is that students attain necessary mathematical knowledge that is needed when students learn subjects in the chemical engineering course. | |||
| Schedule and Contents |
Probability and Statistics (fundamentals) (5-times) 1-1. Definition and properties of probability 1-2. Conditional probability 1-3. Stochastic variable and its properties (a) Probability distribution function, (b) Average, Expectation value, Moment, (c) Moment generating function 1-4. Multi-stochastic variable case (a) simultaneous distribution function (b) marginal and conditional probability (c) covariance, correlation coefficient Probability and Statistics, (2-times) 1-5. Various distribution function (a) binomial distribution functions (b) Poisson distribution functions (c) Gauss distribution functions 1-6. Law of large numbers Central limit theorem Normal distribution Fourier Transformation, (4-times) 3-1. Fourier integral 3-2. Fourier transformation Partial Differential Equation (3-times) 4. Fundamentals to solve partial differential equations Equation of wave Diffusion equation, Multi-dimensional problem Confirmation of the level of attainment (1-time), Confirmation of the level of attainment |
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| Evaluation Methods and Policy | Grading will be determined by a test at the end of series of lectures, and reports and short tests in class, if necessary. | |||
| Course Requirements | It is required that students have already had the lecture : Mathematics for Chemical Engineering I in the former semester. | |||
| Study outside of Class (preparation and review) |
After each class of Probability and Statistics, homework is given to students, and their solution will be shown at the class in two weeks. It is highly recommended that students solve them before the class. |
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| Textbooks | Textbooks/References |
理工系の数学入門コース 7. 確率・統計, 薩摩順吉, (岩波書店), ISBN:4000077775 フーリエ解析と偏微分方程式, 阿部寛治, (培風館), ISBN:9784563011178 |
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| References, etc. | 岩波基礎物理シリーズ 10. 物理の数学, 薩摩順吉, (岩波書店), ISBN:4000079301 | |||
| Related URL | ||||
