Exercise your mind Logical reasoning Follow me also on: Facebook: / matematicasfacilesconmateo ============================================= Algebra, Geometry, Trigonometry, Arithmetic, Mathematical Reasoning Linear equations with one variable, Quadratic equations, Inequalities, Systems of linear equations, Polynomials and factorization, Algebraic fractions, Linear and quadratic functions, Operations with matrices, Complex numbers, Set theory, Inequalities, Proportions, Algebraic application problems, Set algebra, Ratios and proportions, Radicals and exponents, Law of signs, Arithmetic and geometric sequences, Remainder theorem, Diophantine equations, Boolean algebra, Systems of nonlinear equations, Exponential and logarithmic functions, Inverse matrices, Combinatorics and permutations, Partial fractions, Matrix algebra, Rational equations, Factorial decomposition. Pythagorean theorem, Similarity of triangles, Areas and perimeters, Volume of prisms and pyramids, Cartesian coordinates, Trigonometry in triangles, Circumference and circle, Regular polygons, Geometric transformations, Thales' theorem, Angles and parallel lines, Basic analytical geometry, Bisector and height theorem, Properties of quadrilaterals, Three-dimensional bodies, Symmetry, Euclid's theorem, Fractal geometry, Pappus' theorem, Non-Euclidean geometry, Angles in standard position, Vector spaces, Fractals in geometry, Polar coordinates, Areas and volumes of non-conventional figures, Median theorem, Projective geometry, Apollonius' theorem. Basic trigonometric functions, Solving triangles, Fundamental trigonometric identities, Law of sines and cosines, Graphs of trigonometric functions, Trigonometry in the right triangle, Notable angles, Additional trigonometric identities, Polar coordinates, Pythagorean theorem in trigonometry, Trigonometric transformations, Inverse trigonometric functions, Trigonometric application problems, Solving trigonometric equations, Trigonometric ratios on the unit circle, Spherical trigonometry, Angles in standard position, Hyperbolic trigonometric identities, Spherical coordinates, Multiple angle trigonometric functions, Addition and subtraction trigonometric identities, Advanced trigonometric transformations, Tangent theorem, Fundamental trigonometric equations, Double angle theorem, Hyperbolic functions. Prime and composite numbers, Greatest common divisor (GCD), Least common multiple (LCM), Equivalent fractions, Operations with fractions and decimals, Percentage, Ratios and proportions, Arithmetic application problems, Properties of integers, Divisibility and division rules, Arithmetic and geometric sequences, Scientific notation, Proportion problems, Arithmetic application problems, Rational and irrational numbers, Operations with radicals, Fundamental theorem of arithmetic, Powers and roots, Addition and subtraction of algebraic fractions, Direct and inverse proportion problems, Trigonometric ratios on the unit circle, Operations with complex numbers, Simple and compound rule of three problems, Square and cubic numbers, Unit conversion problems, Trigonometric proportions. Propositional logic, Sequence and pattern problems, Counting and combinatorics problems, Logical inference, Application problems of mathematical reasoning, Venn diagrams, Simple mathematical proofs, Proportion problems, Numerical logic problems, Application problems of set theory, Inductive and deductive logical reasoning, Bayes' theorem, Mathematical paradoxes, Conditional proposition problems, Strategy games, Truth table problems, Numerical reasoning problems, Fuzzy logic and applications, Solving mathematical problems, Solving problems with equations and inequalities, Probability problems, Geometry of space, Fractal geometry problems, Advanced mathematical reasoning, Application problems in statistics and probability, Mathematical argumentation, Advanced combinatorics problems.