(2021)

Basic Mathematics

Teachers | KAMIDE, Norihiro | |
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Grade, Semester | Year 1 1st semest [Department of Information Science Correspondence Course, Faculty of Science and Engineering] | |

Category | Basic Major Subjects | |

Classes | スクーリング授業 | |

Elective, Credits | Requisites 2credit | |

Syllabus Number | 4B102 |

The contents of the lectures are summarized as follows: (1) trigonometric functions (also called circular functions, angle functions or goniometric functions), (2) exponential and logarithmic functions, (3) sequence and series, (4) vector, and (5) complex number.

The aim of this course is to understand the following items: (1) basic concepts of elementary functions (i.e., trigonometric functions, exponential function, logarithmic function, etc.), (2) how to calculate the limit of infinite sequence and the sum of infinite series, and (3) how to use vector and complex number.

Students are evaluated by a term examination, some midterm examinations, and some quizzes.

Kind | Title | Author | Publisher |
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Textbook | No textbook. The original slides and video contents are used. | ||

References | No reference. The original slides and video contents are used. |

The slides of the lecture should be read. The video contents of the lecture should be viewed.

LMS is used in this course.

1 | Introduction. |

2 | Trigonometric functions (1): Law of sines. Law of cosines. |

3 | Trigonometric functions (2): Compound angle formula. Inverse trigonometric functions. |

4 | Exponential and logarithmic functions (1): Basic concepts. |

5 | Exponential and logarithmic functions (2): Graphs. |

6 | The limit of sequence (1): The limit of infinite sequence. Infinite geometric sequence. |

7 | The limit of sequence (2): The sum of infinite series. d'Alembert's ratio test. |

8 | The limit of function (1): The limit of trigonometric, exponential, and logarithmic functions. |

9 | The limit of function (2): Continuous functions. Differentiable functions. L'Hospital's rule. |

10 | Vector (1): Basic concepts and notations. |

11 | Vector (2): Inner product. Outer product. |

12 | Complex number (1): Complex plane. Polar form. |

13 | Complex number (2): De Moivre's theorem. Euler's formula. |

14 | Advanced topics: Use of computer science. |

15 | Summary and term examination. |