In Differential and Integral Calculus 1, the basis of calculus of one-variable functions was learned.

In this class, students learn the advanced topics of calculus of one-variable functions and calculus of multivariable functions.

In this class, students learn the advanced topics of calculus of one-variable functions and calculus of multivariable functions.

The purpose of this class is to understand the meaning of advanced topics of calculus of one-variable functions and the meaning
of calculus of multivariable functions, and to be able to calculate them.

- To be able to understand the meaning of numerical sequences, series, series expansion of functions, and indeterminate forms, and calculate them.
- To be able to understand the meaning of partial differentials and related operations, and calculate them.
- To be able to understand the meaning of quadrature by parts, improper integrals, areas, and volumes, and calculate them.
- To be able to understand the meaning of multiple integrals, and calculate them.

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

1. | Numerical sequence and series | Read through the textbook p.11-p.15、p.111-p.113 and handouts, and solve the exercises before class. Review after class. | 190minutes |

2. | Series (continuity) ans series expansion of function | Read through the textbook p.113-p.116、p.51-p.53、p.117-p.121 and handouts, and solve the exercises before class. Review after class. | 190minutes |

3. | Indeterminate form, and basic properties of function of two variables | Read through the textbook p.53-p.60、p.145-p.154 and handouts, and solve the exercises before class. Review after class. | 190minutes |

4. | Basic properties of function of two variables (continuity), and (Higher-order) partial derivative | Read through the textbook p.154-p.157、p.159-163 and handouts, and solve the exercises before class. Review after class. | 190minutes |

5. | Total derivative and extremum | Read through the textbook p.164-p.170、p.186-p.190and handouts, and solve the exercises before class. Review after class. | 190minutes |

6. | Composite of two functions and its (partial) derivatives | Read through the textbook pp.171-175 and handouts, and solve the exercises before class. Review after class. | 190minutes |

7. | Midterm examination and its explanation | Preparation of midterm examination. | 190minutes |

8. | Quadrature by parts | Read through the textbook p.114 and handouts, and solve the exercises before class. Review after class. | 190minutes |

9. | Improper integral | Read through the textbook p.107-p.111 and handouts, and solve the exercises before class. Review after class. | 190minutes |

10. | Area and volume | Read through the textbook p.122-p.126 and handouts, and solve the exercises before class. Review after class. | 190minutes |

11. | Definition of double integral and iterated integral | Read through the textbook p.195-p.208 and handouts, and solve the exercises before class. Review after class. | 190minutes |

12. | Exchange of the order of integration | Read through the textbook p.195-p.208 and handouts, and solve the exercises before class. Review after class. | 190minutes |

13. | Double integral in polar coordinates | Read through the textbook p.208-p.211 and handouts, and solve the exercises before class. Review after class. | 190minutes |

14. | Final examination and its explanation | Preparation of final examination. | 190minutes |

Total. | - | - | 2660minutes |

Midterm examination | Final examination | Reports and little examinations | Total. | |
---|---|---|---|---|

1. | 15% | 10% | 25% | |

2. | 15% | 10% | 25% | |

3. | 15% | 10% | 25% | |

4. | 15% | 10% | 25% | |

Total. | 30% | 30% | 40% | - |

Midterm examination(30%), Final examination(30%), Reports and little examinations(40%)

60% if students can understand and solve exercises in the handouts

60% if students can understand and solve exercises in the handouts

- 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 : Wed Mar 23 04:30:58 JST 2022