Math Practice

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/ 8Vectors and matrices: vector/matrix, block decomposition
2nd  4/22Vectors and matrices: vector/ matrix, block decomposition
3rd  4/27Vectors and matrices: diagonal/triangular matrix, linear eqs., LU decomposition
4th  4/29Vectors and matrices: diagonal/triangular matrix, linear eqs., LU decomposition
5th  5/13Calculus of differentials: complex numbers/polar form, exponential/trigonometric functions
6th  5/27Calculus of differentials: complex numbers/polar form, exponential/trigonometric functions
7th  6/ 3Calculus of differentials: chain rule, differentiating products/quotients
8th  6/10Calculus of differentials: chain rule, differentiating products/quotients
9th  6/17Ordinary differential equation: linear constant-coefficient ODE, characteristic equation
10th  6/24Ordinary differential equation: linear constant-coefficient ODE, characteristic equation
11th  7/ 1Laplace transform: Laplace transform of exp./tri. functions, Laplace transform of time derivatives
12th  7/ 8Laplace transform: Laplace transform of exp./tri. functions, Laplace transform of time derivatives
13th  7/15Laplace transform: partial fraction decomposition, solving ODE's using Laplace transform
14th  7/22Laplace transform: partial fraction decomposition, solving ODE's using Laplace transform
15th  7/23Wrap up and examination

Handouts

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) MATLAB (縮小版)


Evaluation: Examination 60% and result of practice 40%

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