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/ 8 | Vectors and matrices: vector/matrix, block decomposition | |

2nd | 4/22 | Vectors and matrices: vector/ matrix, block decomposition | |

3rd | 4/27 | Vectors and matrices: diagonal/triangular matrix, linear eqs., LU decomposition | |

4th | 4/29 | Vectors and matrices: diagonal/triangular matrix, linear eqs., LU decomposition | |

5th | 5/13 | Calculus of differentials: complex numbers/polar form, exponential/trigonometric functions | |

6th | 5/27 | Calculus of differentials: complex numbers/polar form, exponential/trigonometric functions | |

7th | 6/ 3 | Calculus of differentials: chain rule, differentiating products/quotients | |

8th | 6/10 | Calculus of differentials: chain rule, differentiating products/quotients | |

9th | 6/17 | Ordinary differential equation: linear constant-coefficient ODE, characteristic equation | |

10th | 6/24 | Ordinary differential equation: linear constant-coefficient ODE, characteristic equation | |

11th | 7/ 1 | Laplace transform: Laplace transform of exp./tri. functions, Laplace transform of time derivatives | |

12th | 7/ 8 | Laplace transform: Laplace transform of exp./tri. functions, Laplace transform of time derivatives | |

13th | 7/15 | Laplace transform: partial fraction decomposition, solving ODE's using Laplace transform | |

14th | 7/20 | Laplace transform: partial fraction decomposition, solving ODE's using Laplace transform | |

15th | 7/22 | Wrap up and examination |

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 (reduced copy) |

Evaluation: | Examination 60% and result of practice 40% |

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