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