This course will provide a basic mathematics frequently used in electrical and electronic engineering. The course will be
given in lectures as well as exercise to help the students get a better understanding and proficiency in the application of
mathematics on electric and electronic circuits.

This course aims to bridge the gap between students basic understanding in mathematics and the actual application of mathematics
in electric and electronic circuits analysis.

- The students can understand and use vector notation and complex notation in electric and electronic circuit analysis
- The students can understand function mapping and and explain its properties in signal processing
- The students can use Fourier and Laplace transformation in the frequency domain signal analysis
- The students can understand and explain the principle of discrete signal processing and its limitation

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

1． | Class guide, introduction to scalar and vector | Review of scalar | 50minutes |

Review on vector | 50minutes | ||

Review on scalar and vector operations | 100minutes | ||

2． | Vector operations and applications | Review inner product, outer product, trigonometric functions | 200minutes |

3． | Complex number and basic arithmetic operation | Review complex number properties | 100minutes |

Review on phasor and its operations | 100minutes | ||

4． | Complex-valued function, holomorphic function | Review Gauss plane and Riemann surface | 200minutes |

5． | Conformal mapping | Review complex plane, s-plane, z-plane | 200minutes |

6． | Bilinear transformation and its applications | Review conformal mapping | 200minutes |

7． | Midterm exam and discussion on the solution | Review lecture #1 to #6 | 200minutes |

8． | Taylor series and expansion, Mclaurin series and expansion | Review power series | 200minutes |

9． | Fourier series and Fourier transform 1 | Review basic calculus | 200minutes |

10． | Fourier transform 2 | Review Fourier series | 200minutes |

11． | Laplace Transform | Review Fourier transform | 200minutes |

12． | Sampling theorem, discrete time signal processing | Review Fourier transform | 200minutes |

13． | Z-transform | Review Fourier transform | 200minutes |

14． | Final exam and discussion on the solution | Review lecture #8 to #13 | 200minutes |

Total. | - | - | 2800minutes |

quizes | midterm exam | final exam | Total. | |
---|---|---|---|---|

1. | 5% | 10% | 10% | 25% |

2. | 5% | 10% | 10% | 25% |

3. | 5% | 10% | 10% | 25% |

4. | 5% | 10% | 10% | 25% |

Total. | 20% | 40% | 40% | - |

quiz 20pts + midterm exam 40pts + final exam 40pts = 100pts (total point)

To earn the credits of this course students shall:

1. Get at least 60% of the total point

2. Take both the midterm and final exams

Students will earn 60% from:

1. midterm exam if they can solve calculation problems of vector and complex number operations.

2. final exam if they can solve the problems of Fourier series and Laplace transformation.

To earn the credits of this course students shall:

1. Get at least 60% of the total point

2. Take both the midterm and final exams

Students will earn 60% from:

1. midterm exam if they can solve calculation problems of vector and complex number operations.

2. final exam if they can solve the problems of Fourier series and Laplace transformation.

Students are recommended to finish linear algebra and calculus courses prior to taking this course

- Tue 15:00 - 17:00 (after class)
- Contact address:nico[at]shibaura-it.ac.jp

- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic interpersonal skills
- Course that cultivates a basic problem-solving skills

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

N/A | N/A |

- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE

Last modified : Fri Mar 18 23:14:14 JST 2022