Front lessons 

The expected prerequisites are the contents and the related logical-mathematical skills acquired at the end of a regular high school course

Attendance reccomended

Linear algebra

Vectors of the plane and space, operations between vectors, linear combination, scalar product, vector product, mixed product. Equation of the straight line in the plane and in space, equation of the plane, point-plane distance. Outline of vector spaces, linear functions, matrices, operations with matrices, determinant calculus, rank of matrix, inverse matrix. Linear systems, Rouche-Capelli theorem. Diagonalization, eigenvalues ​​and eigenvectors.

Mathematical Analisys

Real functions of real variable, domain, codomain, injectivity, surjectivity, bijectivity, monotony, inverse function, zeros, sign, elementary transformations (translations and absolute values). Elementary functions: line, absolute value, irrational, power, exponential, logarithm, sine, cosine, tangent. Outline of neighborhood topology, function limits, operations on limits, continuity, singularity. Derivative of a function, geometric meaning of the derivative, derivatives of operations between functions (sum, product, quotient), derivatives of elementary functions, derivatives of compound functions and inverse functions. Study of functions, growth, decrease, maximum, minimum, concavity, convexity. De L'Hopital's theorem, Taylor's polynomial. Indefinite integrals, integrals of elementary functions, integration rules, integration by parts, integration by integration, integration of rational functions. Definite integral, definitions, geometric meaning, properties of definite integrals, mean theorem, fundamental theorem of integral calculus. Improper integrals. First order differential equations, with separable variables, linear, homogeneous, first order Cauchy problem. Linear differential equations of the second order with constant coefficients

Written test followed by an oral test