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/ 9Vectors and matrices: vector/matrix, block decomposition
2nd  4/16Vectors and matrices: vector/ matrix, block decomposition
3rd  4/30Vectors and matrices: diagonal/triangular matrix, linear eqs., LU decomposition
4th  5/ 7Vectors and matrices: diagonal/triangular matrix, linear eqs., LU decomposition
5th  5/14Calculus of differentials: complex numbers/polar form, exponential/trigonometric functions
6th  5/19Calculus of differentials: complex numbers/polar form, exponential/trigonometric functions
7th  5/28Calculus of differentials: chain rule, differentiating products/quotients
8th  6/ 4Calculus of differentials: chain rule, differentiating products/quotients
9th  6/11Ordinary differential equation: linear constant-coefficient ODE, characteristic equation
10th  6/25Ordinary differential equation: linear constant-coefficient ODE, characteristic equation
11th  6/30Laplace transform: Laplace transform of exp./tri. functions, Laplace transform of time derivatives
12th  7/ 2Laplace transform: Laplace transform of exp./tri. functions, Laplace transform of time derivatives
13th  7/ 9Laplace transform: partial fraction decomposition, solving ODE's using Laplace transform
14th  7/14Laplace transform: partial fraction decomposition, solving ODE's using Laplace transform
15th  7/16Wrap up

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) 15th (reduced copy)
MATLAB (縮小版)


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

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