Differential and Integral Calculus 1

In this class, students learn the basic concepts and operations of one-variable functions. The first part deals with limits,
derivatives, and extrema, and the second part deals with indefinite and definite integrals for various functions. Students
also learn the basic properties of important functions such as polynomials, exponential functions, logarithmic functions,
trigonometric functions, and inverse trigonometric functions.

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

- To be able to basic calculations on elementary functions.
- To be able to understand the meaning of differentials and related operations, and calculate them.
- To be able to understand the meaning of indefinite and definite integrals, and calculate them.

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

1. | Elementary functions | Read through the textbook p.1-p.10 and handouts, and solve the exercises before class. Review after class. | 190minutes |

2. | Limit of a function | Read through the textbook p.15-p.23 and handouts, and solve the exercises before class. Review after class. | 190minutes |

3. | Differential calculus 1 | Read through the textbook p.25-p.32 and handouts, and solve the exercises before class. Review after class. | 190minutes |

4. | Differential calculus 2 | Read through the textbook p.32-p.37 and handouts, and solve the exercises before class. Review after class. | 190minutes |

5. | Differential calculus 3 | Read through the textbook p.37-p.44 and handouts, and solve the exercises before class. Review after class. | 190minutes |

6. | Mean value theorem, extremum and convex upward/downward | Read through the textbook p.47-p.51, p.60-p.63 and handouts, and solve the exercises before class. Review after class. | 190minutes |

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

8. | Definite integral and fundamental theorem of calculus | Read through the textbook p.67-p.78 and handouts, and solve the exercises before class. Review after class. | 190minutes |

9. | Integral calculus 1 | Read through the textbook p.81-p.87 and handouts, and solve the exercises before class. Review after class. | 190minutes |

10. | Integral calculus 2 | Read through the textbook p.87-p.90 and handouts, and solve the exercises before class. Review after class. | 190minutes |

11. | Integral calculus 3 | Read through the textbook p.91-p.94 and handouts, and solve the exercises before class. Review after class. | 190minutes |

12. | Integral calculus 4 | Read through the textbook p.95-p.104 and handouts, and solve the exercises before class. Review after class. | 190minutes |

13. | Applications of calculus | Read through the 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. | 3% | 5% | 8% | |

2. | 17% | 25% | 42% | |

3. | 20% | 30% | 50% | |

Total. | 20% | 20% | 60% | - |

Midterm examination(20%), Final examination(20%), Reports and little examinations(60%)

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 : Fri Sep 16 04:04:18 JST 2022