# Syllabus 2017

IMPORTANT

Our syllabus can be seen at the website of KULASIS since 2019.

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## Course Title : Mathematics for Chemical Engineering II

Code | 73050 |
---|---|

Course Year | 3rd year |

Term | |

Class day & Period | |

Location | |

Credits | 2 |

Restriction | No Restriction |

Lecture Form(s) | Lecture |

Language | Japanese |

Instructor | Takashi Taniguchi,Noriaki Sano, |

### Course Description

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.

### Grading

Grading will be determined by a test at the end of series of lectures, and reports and short tests in class, if necessary.

### 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.

### Course Topics

Theme | Class number of times | Description |
---|---|---|

Probability and Statistics (fundamentals) | 5 | 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 | 1-5. Various distribution function (a) binomialdistribution functions (b) Poisson distribution functions (c) Gauss distribution functions 1-6. Law of large numbers Central limit theorem Normal distribution |

Fourier Transformation | 4 | 3-1. Euler's formula 3-2. Fourier integral 3-3. Fourier transformation |

Partial Differential Equation | 3 | 4. Fundamentals to solve partial differential equations Equation of wave Diffusion equation Multi-dimensional problem |

Confirmation of the level of attainment | 1 | Confirmation of the level of attainment |

### Textbook

### Textbook(supplemental)

### Prerequisite(s)

It is required that students have already had the lecture : Mathematics for Chemical Engineering I in the former semester.