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2011-04-07 The Gallery with pictures from SEEMOUS 2011 is on site.
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Calculus
Real and complex numbers.
Sequences and series of numbers.
Functions of one real variable: continuity, differentiability, Taylor formula, Riemann integral.
Sequences and series of functions: pointwise and uniform convergence; differentiability and integrability term by term.
Power series, elementary functions.
Improper Riemann integral, functions defined by integrals (Euler integrals).
Algebra and Geometry
General notions about some algebraic structures: groups, rings, fields.
General properties about polynomials with real and complex coefficients.
Finite dimensional vector spaces over real and complex numbers: base and dimension.
Linear transformations and matrices; eigenvalues, eigenvectors, diagonal form and applications.
Quadratic forms. Plane and and solid analytical geometry: linea, planes, conics, quadrics.
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