Learn how to use mathematics in robotics, focusing on calculus on vectors and matrices, calculus of differentials, ordinary differential equations, and Laplace transform. (Dept. Robotics, B2)

1st | 4/ 9 | Vectors and matrices: vector/matrix, block decomposition | |

2nd | 4/16 | Vectors and matrices: vector/ matrix, block decomposition | |

3rd | 4/30 | Vectors and matrices: diagonal/triangular matrix, linear eqs., LU decomposition | |

4th | 5/ 7 | Vectors and matrices: diagonal/triangular matrix, linear eqs., LU decomposition | |

5th | 5/14 | Calculus of differentials: complex numbers/polar form, exponential/trigonometric functions | |

6th | 5/19 | Calculus of differentials: complex numbers/polar form, exponential/trigonometric functions | |

7th | 5/28 | Calculus of differentials: chain rule, differentiating products/quotients | |

8th | 6/ 4 | Calculus of differentials: chain rule, differentiating products/quotients | |

9th | 6/11 | Ordinary differential equation: linear constant-coefficient ODE, characteristic equation | |

10th | 6/25 | Ordinary differential equation: linear constant-coefficient ODE, characteristic equation | |

11th | 6/30 | Laplace transform: Laplace transform of exp./tri. functions, Laplace transform of time derivatives | |

12th | 7/ 2 | Laplace transform: Laplace transform of exp./tri. functions, Laplace transform of time derivatives | |

13th | 7/ 9 | Laplace transform: partial fraction decomposition, solving ODE's using Laplace transform | |

14th | 7/14 | Laplace transform: partial fraction decomposition, solving ODE's using Laplace transform | |

15th | 7/16 | Wrap up |

1st, 2nd (reduced copy) | 3rd, 4th (reduced copy) | 5th, 6th (reduced copy) | 7th, 8th (reduced copy) | |

9th, 10th (reduced copy) | 11th, 12th (reduced copy) | 13th, 14th (reduced copy) | 15th (reduced copy) | |

MATLAB (縮小版) |

Evaluation: | Final Exam. 60% and result of practice 40% |

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