Math Practice

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


1st 9/29Calculus of vectors and matrices: vectors, matrix, block decomposition
2nd10/ 6Calculus of vectors and matrices: vectors, matrix, block decomposition
3rd10/13Calculus of vectors and matrices: diagonal, triangular matrix, permutation matrices
4th10/20Calculus of vectors and matrices: diagonal, triangular matrix, permutation matrices
5th10/27Calculus of vectors and matrices: linear equation, LU decomposition
6th11/ 3Calculus of vectors and matrices: linear equation, LU decomposition
7th11/10Calculus of differentials: complex numbers/polar form, differentiating exponential/trigonometric functions
8th11/17Calculus of differentials: complex numbers/polar form, differentiating exponential/trigonometric functions
9th11/24Calculus of differentials: chain rule, differentiating products/quotients
10th12/ 8Calculus of differentials: chain rule, differentiating products/quotients
11th12/15Ordinary differential equation: linear constant-coefficient ODE, characteristic equation
12th12/22Ordinary differential equation: linear constant-coefficient ODE, characteristic equation
13th 1/12Ordinary differential equation: Laplace transform, solving ODE's using Laplace transform
14th 1/19Ordinary differential equation: Laplace transform, solving ODE's using Laplace transform
15th 1/20Wrap up

Handouts

1st, 2nd 3rd, 4th 5th, 6th 7th, 8th
9th, 10th 11th, 12th 13th, 14th 15th

1st, 2nd Vectors, matrix, block decomposition reduced copy
3rd, 4th Diagonal, triangular matrix, permutation matrices reduced copy
5th, 6th Linear equation, LU decomposition reduced copy
7th, 8th Complex numbers, differentiating exponential/trigonometric functions reduced copy
9th, 10th Chain rule, differentiating products/quotients reduced copy
11th, 12th Linear constant-coefficient ODE, characteristic equation reduced copy
13th, 14th Laplace transform, solving ODE's using Laplace transform reduced copy
15th Wrap up reduced copy


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

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