Calculus: derivative, partial derivative, integral, double integral, limit of suits, numerical series, series of function, extrema of functions, equivalence of functions, differential equations.

 

Probability and Statistics: Discrete probability, continous probability, random variables, expectation, variance, characteristic functions, binomial distribution, uniform density, exponential density, normal density, random vectors, matrix of covariance. Notion of estimator.

Properties of estimators (unbiaised, convergent, efficient).

 

Algebra: Vectorial space, linear algebra, matrix, determinant, eigenvalues, eigenvectors,
linear equation, quadratic forms, complex numbers.

 

Geometry: analytic geometry, equation of plan, tangent plan, normal to a curve,
length of curve, scalar product, vectorial product, gradient, divergence, rotational.
 scalar field, vector field, Ostrogradski formula, Stokes Theorem

 

 

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