1.THE SPANISH MATHSCURRICULUM OF BACHILLERATO16-18-year-old students

2. Bachillerato. 16-18- year-old studentsPost- compulsory secondary educationMatemticas IScience and Technology itinerariesMatemticas II Matemticas Aplicadas alas Ciencias Sociales I Social studies itineraries Matemticas Aplicadas alas Ciencias Sociales II 3. Mathematics IArithmetics The Reals. Abosute value. Inequalities. The numberand Algebra line. Distances and intervals The Complex Numbers. Cartesian and polar forms.operations. Representation on the Plane. Sequences. Limits. Number e. Logarithms. The Binomial Theorem. Polynomials. Factoringpolynomials. Algebraic fractions. Operations. Equations and inequalities Simultaneous linear equations. Gaussianelimination 4. Mathematics IGeometry Trigonometry.- trigonometric ratios for anykind of angles. Trigonometric identities.Sine and cosine theorems. Solvingtriangles. Word problems. Use of variablesto represent numbers in formulae Vectors on the plane. Operations. Distanceson the plane. The dot product. The straight line on the plane. Forms.Parallel and perpendicular lines. Distancesand angles Loci on the plane. The conic sections 5. Mathematics IAnalysis Real functions. Polynomial, Rational, Trigonometric,exponential and logarithmic functions Domain, Image, monotony, and extremes. Composingfunctions. Reciprocal functions. Limits and continuity. Types of discontinuity. Asymptotes Derivatives. Local extremes Graphing functions. Studying function through its globalcharacteristics Interpreting functions that describe real situations. 6. Mathematics IStatistics Bivariate distributions. Correlation coefficients.and Regression line.Probability Covariance. Composed, conditioned and total probability. Distribution of probability of discrete randomvariables. The binomial distribution Distribution of probability of continuous randomvariables. The Standard distribution Using the tables to solve problems ofprobability. 7. Mathematics IILinear Matrices. Operations. Inversion. EquationsAlgebra Determinants. Range of a matrix. Linear simultaneous equations. Discussion and resolution. Classification. Rouche- Frobenius Theorem. The Cramer rule. 8. Mathematics IIGeometry Vectors on R3. The dot product. The cross product. The mixed product. Geometric meaning and analytic expression. Equations of lines and planes on the 3D space Incidence, parallelism and perpendicularity of lines and planes Resolution of metric problems relates to angles, distances, areas and volumes 9. Mathematics IIAnalysis Limits of sequences and functions. Continuity. Types of discontinuity Derivative of a function at a point. Function derivative. Geometric view of the derivative. Applying derivatives to the study of functions. Primitive of a function. Definite integral of a function. The Barrow Theorem. Applying integrals to calculate areas. 10. Applied Mathematics IArithmetics Rational and irrational numbers.and Algebra Rounding. Errors. The Real line. Intervals. The standardform Financial problems. Simple andcompound interest. Annuity.Economical and financial indices Polynomial equations. Linear simultaneous equations. TheGaussian elimination method. 11. Applied Mathematics IAnalysis Real functions. Interpolation and extrapolation. Polynomial, inverse, exponential, and logarithmic, functions. Piece-wise functions. Limits. Tendencies and continuity. Studying discontinuities Derivative. Derivative of polynomial functions. 12. Applied Mathematics IStatistics Univariate data. Kind of variables. Graphs and tablesd.and Parameters.Probability Bivariate data. Scatter-plot. Correlation. Linearregresion. Random events. Probability. Random variables. Discrete random distributions. The binomial distribution. Continuous random variables. The standard distribution 13. Applied Mathematics IIAlgebra Matrices. Operations. Inversion. Using matrices to organize information andsolve problems Solving and discussing simultaneousequations by Gaussian elimination Univariate and bivariate inequalities andsimultaneous inequalitities. Linear programming 14. Applied Mathematics IIAnalysis Limit of a function. Tendencies. Solving indeterminate forms of limits Continuity. Types of discontinuity. Derivative of a function at a point. Functionderivative. Applying derivatives to the local study of functions. Optimization word problems Studying and graphing functions Introduction of the concept of Integral. Calculatingareas by definite integrals. 15. Applied Mathematics IIStatistics Random events. Operationsand Probability. Compound events. ConditionedProbability probability. Bayes formula The central limit theorem. Approximating abinomial distribution as a standard. Law of GreatNumbers. Sampling. Population. Parameters. Mean and proportion of a samples distribution. Confidence intervals (for p in a binomial or m innormal distributions) Hypothesis testing (for the proportion in abinomial and for the mean or difference of meansin a standard distribution)