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.

- To be able to understand and use vector notation and complex notation in electric and electronic circuit analysis
- To be able to understand mapping and its properties in signal processing
- To be able to use Fourier transform and Laplace transform in analysis in frequency domain
- To be able to understand 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 and vector | 30minutes |

2． | Vector operations and applications | Review inner product, outer product, trigonometric functions | 90minutes |

3． | Complex number and basic arithmetic operation | Review complex number properties | 45minutes |

4． | Complex-valued function, holomorphic function | Review Gauss plane and Riemann surface | 90minutes |

5． | Conformal mapping | Review complex plane, s-plane, z-plane | 90minutes |

6． | Bilinear transformation and its applications | Review conformal mapping | 45minutes |

7． | Midterm exam | Review lecture #1 to #6 | 120minutes |

8． | Taylor series and expansion, Mclaurin series and expansion | Review power series | 60minutes |

9． | Fourier series and Fourier transform 1 | Review basic calculus | 45minutes |

10． | Fourier transform 2 | Review Fourier series | 45minutes |

11． | Laplace Transform | Review Fourier transform | 45minutes |

12． | Sampling theorem, discrete time signal processing | Review Fourier transform | 30minutes |

13． | Z-transform | Review Fourier transform | 30minutes |

14． | Final exam | Review lecture #8 to #13 | 120minutes |

Total. | - | - | 885minutes |

quiz | 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.

Need 60% of full mark to get the credit.

Need 60% of full mark to get the credit.

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

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

N/A | N/A |

Last modified : Fri Jun 28 04:02:32 JST 2019