Mathematics

One should never try to prove anything that is not almost obvious.

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Calculus

study schedule：

linearization(First order dirivity of Taylor series)、 Simple differential equation(dy=f'(x)dx)、 Mean value theorem、 Rolle's theorem、 Lagrange's mean value theorem、 Cauchy's mean value theorem、 Laplace transform、 Fourier transform

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Lagrange's mean value theorem

Linear algebra

study schedule：

definition of vector、 span、 basis vector、 linear combination、 linear transformation、 two dimension matrix、 Rotation matrix、 determinant、 Null space(Kernel)、 dot product in two dimension、 dot product in three dimension、 cross product in two dimension、 cross product in three dimension、 Cramer's rule、 Eigen vector、 Eigen value

study now：

Eigen value and particular solution and differential equation