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 9/28Calculus of vectors and matrices: vectors, matrix, block decomposition
2nd10/ 5Calculus of vectors and matrices: vectors, matrix, block decomposition
3rd10/19Calculus of vectors and matrices: diagonal, triangular matrix, permutation matrices
4th10/22Calculus of vectors and matrices: diagonal, triangular matrix, permutation matrices
5th10/26Calculus of vectors and matrices: linear equation, LU decomposition
6th11/ 2Calculus of vectors and matrices: linear equation, LU decomposition
7th11/ 9Calculus of differentials: complex numbers/polar form, differentiating exponential/trigonometric functions
8th11/16Calculus of differentials: complex numbers/polar form, differentiating exponential/trigonometric functions
9th11/23Calculus of differentials: chain rule, differentiating products/quotients
10th11/30Calculus of differentials: chain rule, differentiating products/quotients
11th12/ 7Ordinary differential equation: linear constant-coefficient ODE, characteristic equation
12th12/10Ordinary differential equation: linear constant-coefficient ODE, characteristic equation
13th12/21Ordinary differential equation: Laplace transform, solving ODE's using Laplace transform
14th 1/11Ordinary differential equation: Laplace transform, solving ODE's using Laplace transform
15th 1/18Wrap 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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