# Syllabus 2017

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[F] Industrial Chemistry >
Mathematics for Chemical Engineering I ( Chemical Engineering)

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## Course Title : Mathematics for Chemical Engineering I ( Chemical Engineering)

Code | 73020 |
---|---|

Course Year | 2nd year |

Term | 2nd Semester |

Class day & Period | Thursday, the first period class |

Location | W4 Room |

Credits | 2 |

Restriction | No Restriction |

Lecture Form(s) | Lecture and Practice |

Language | Japanese |

Instructor | Takashi Taniguchi, Shinsuke Nagamine, |

### Course Description

The aim of this class is to learn the fundamental mathematics commonly used in Chemical Process Engineering, Chemical System Engineering, such as ordinary differential equations, Laplace transformation, methods to solve differential equations by using Laplace transformation, and vector analysis. The style of the class is mainly lecture style.

### Grading

Grade will be evaluated by (i) the examination at the end of semester and (ii) homework during semester.

### Course Goals

To attain the mathematical knowledge and skill how to solve ordinal differential equations by using Laplace transformations

### Course Topics

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

Vector Analysis | 7 | We learn the following items: Vector Analysis (including differentiation of vectors), Integration of vectors Integral Theorem (Gauss divergence Theorem, Stokes Theorem) |

Ordinary differential Equation | 4 | We learn that various physical phenomena seen in our daily life can be described by ordinary differential equations. As method to solve 1st and 2nd order ordinary differential equation, the following methods will be learned : 1. Method of separation of variables 2. Method of variation of parameters |

Laplace Transformation | 3 | After learning the historical background and the discovery of Laplace transformation. We learn how to solve ordinal differential equations and integral equations by using Laplace transformation, and also learn applications of Laplace transformation to definite integration. |

Confirmation of the level of attainment | 1 | Confirmation of the level of attainment Comments on the term-end Exam |

### Textbook

### Textbook(supplemental)

### Prerequisite(s)

Basic knowledge on differentiation, integral, matrix operations