You will learn what a differential equation is and how to recognize some of the basic different types. You will learn how
to apply some common techniques used to obtain general solutions of differential equations and how to fit initial or boundary
conditions to obtain a unique solution. You will appreciate how differential equations arise in applications and you will
gain some experience in applying your knowledge to model a number of engineering problems using differential equations.

The purpose of this class is to learn how to recognize some of the basic different types of differential equations, to learn
how to apply some common techniques used to obtain solutions of differential equations and to appreciate how differential
equations arise in applications. This class also includes a review on the content learned in the class of differential equations
at the time of first grade.

- You can describe how to recognize some of the basic different types of differential equations
- You can describe how to apply some common techniques used to obtain solutions of differential equations
- You can describe how differential equations arise in applications

Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
---|---|---|---|

1. | Orientation, Case study of modelling | Exercises for the models | 190minutes |

2. | General solution | Review general solutions | 190minutes |

3. | Method of separation of variables | Applying the method of separation of variables | 190minutes |

4. | Inverse function | Review inverse functions | 190minutes |

5. | Exact equation | Solving exact equations | 190minutes |

6. | Finding the Integrating factor | Solving equations via integrating factors | 190minutes |

7. | Bernoulli differential equation | Review Bernoulli differential equations | 190minutes |

8. | Attention on Mid-term assignment | Review Sessions 1-7 | 190minutes |

9. | 2nd order constant coefficient equations | Finding complementary functions | 190minutes |

10. | 2nd order constant coefficient equations: exercise | Finding complementary functions | 190minutes |

11. | Particular integral | Finding particular integrals | 190minutes |

12. | General solution of inhomogeneous case | Finding general solutions | 190minutes |

13. | Applications | Exercises for the models | 190minutes |

14. | Attention on Final assignment | Review Sessions 9-13 | 190minutes |

Total. | - | - | 2660minutes |

Mid-term assignment | Final assignment | Total. | |
---|---|---|---|

1. | 20% | 20% | 40% |

2. | 20% | 20% | 40% |

3. | 10% | 10% | 20% |

Total. | 50% | 50% | - |

Mid-term assignment and Final assignment. As a criterion, if you determine that you understand 60% of the content covered
in the class, your final score will be 60 points.

- Course that cultivates an ability for utilizing knowledge

Work experience | Work experience and relevance to the course content if applicable |
---|---|

N/A | 該当しない |

Last modified : Tue Apr 19 04:04:05 JST 2022