Analytic Geometry and Unit
Structured program list.
First unit: Sets. In this unit the fundamental concepts of the theory of sets is addressed to provide the tools and the language of operation for subsequent units.
Second unit: numbering systems. In this unit, we address numbering systems of different cultures until the one’s used current day, highlighting the importance of ten based numbering system (decimal), which will be developed in depth by tackling its properties through the next unit.
Unit Three: The field of real numbers. This unit goes from natural numbers to solving everyday problems and the need to gradually increase the numerical sets shown. Operations with real numbers are formalized and the existence of imaginary and complex numbers is mentioned. Operating with absolute value, scientific notation and logarithms begins. At the end of this unit we will be moving from numerical to symbolic representation to generalize the operational rules of the mathematical representation. There are also significant problems for the student to solve.
Fourth unit: operations with monomials and polynomials. In this unit the fundamental operations with monomials and polynomials are reviewed giving them a greater scope than in previous years. Through the development of the content of this unit, we achieve the mechanization of the fundamental operations of algebra, which systemize and simplify the development of the next unit, which is highly encouraged.
Fifth Unit: remarkable and factoring products. This unit is a complete study of the remarkable products and their respective factorization. Factorizations of greater difficulty are addressed. The acquisitions of knowledge outlined in this unit, together with the last unit are used as needed to solve the problems.
Sixth unit: operations with fractions and radicals. In this unit factor theorems and residue are addressed, and are operated with synthetic division by simplifying fractions to their lowest terms. Operations with radicals are
First unit: Sets. In this unit the fundamental concepts of the theory of sets is addressed to provide the tools and the language of operation for subsequent units.
Second unit: numbering systems. In this unit, we address numbering systems of different cultures until the one’s used current day, highlighting the importance of ten based numbering system (decimal), which will be developed in depth by tackling its properties through the next unit.
Unit Three: The field of real numbers. This unit goes from natural numbers to solving everyday problems and the need to gradually increase the numerical sets shown. Operations with real numbers are formalized and the existence of imaginary and complex numbers is mentioned. Operating with absolute value, scientific notation and logarithms begins. At the end of this unit we will be moving from numerical to symbolic representation to generalize the operational rules of the mathematical representation. There are also significant problems for the student to solve.
Fourth unit: operations with monomials and polynomials. In this unit the fundamental operations with monomials and polynomials are reviewed giving them a greater scope than in previous years. Through the development of the content of this unit, we achieve the mechanization of the fundamental operations of algebra, which systemize and simplify the development of the next unit, which is highly encouraged.
Fifth Unit: remarkable and factoring products. This unit is a complete study of the remarkable products and their respective factorization. Factorizations of greater difficulty are addressed. The acquisitions of knowledge outlined in this unit, together with the last unit are used as needed to solve the problems.
Sixth unit: operations with fractions and radicals. In this unit factor theorems and residue are addressed, and are operated with synthetic division by simplifying fractions to their lowest terms. Operations with radicals are