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Timetable and content course

Lesson 1 - 27.09

Real functions of a real variable. Derivatives of elementary functions. Algebra of derivatives. Differential calculus for functions of two variables. Partial derivatives and Schwarz theorem. Fundamental theorem of the integral calculus. Matrices and vectors. Sum and product of matrices. Transpose of a matrix. Symmetric matrices. Square matrices. Identity matrix. Matrix algebra. Inverse of a matrix.

Lesson 2 - 02.10

Remarks on set theory.

Lesson 3 - 04.10

Sample space and events. Main examples. Towards the axioms of probability: fields and σ-fields. Axioms of probability.

Lesson 4 - 08.10

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Lesson 5 - 11.10

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