ALGEBRA: Literal calculus: monomials and polynomials, algebraic operations between polynomials, decomposition of polynomials into factors, algebraic fractions. Linear equations and inequalities, principles for solving them, rational fraternal equations and inequalities, systems of linear equations in two equations and two unknowns, systems of linear inequalities, equations and inequalities of degree II, equations and inequalities of degree greater than two, equations and inequalities with absolute value, irrational equations and inequalities. ANALYTIC GEOMETRY: The Cartesian plane: equation of a straight line, equation of a parabola. REAL VARIABLE FUNCTIONS: Properties and graph of the power function, exponential function and logarithmic function, exponential and logarithmic equations and inequalities. LIMITS OF A FUNCTION TO A REAL VARIABLE: Limit operations, calculation of limits and resolution of some indeterminate forms, notable limits, limit determination using comparison of infinities. DIFFERENTIAL CALCULATION FOR FUNCTIONS AT A REAL VARIABLE -Calculation of the derivative of a function at a point as the limit of the incremental ratio, formulas of derivatives of elementary functions, derivative of the sum, product, quotient, composition of two derivable functions, relationship between derivability and continuity of a function at a point, application of De L'Hospital's theorem to the calculation of indeterminate forms, study of functions, construction of the graph of a function. INTEGRAL CALCULATION: Primitives of elementary functions, primitives of integer polynomial functions and rational functions, integration by substitution and by parts, definite integrals, fundamental theorem of integral calculus. NUMERIC SERIES: Studying the behavior of a numerical series, series as the limit of partial sums of a subsequence, geometric, harmonic, telescopic series, convergence criteria.