MATHS
Numbers
Integers
A numerical set containing all natural numbers, their negative inverses and zero.
A numerical set containing all natural numbers, their negative inverses and zero.
For addition and subtraction - equal signs are added and the sign is placed - different signs are subtracted and the major number sign is placed
For multiplication, in this are multiplied numbers and signs
Fractions
Addition and subtraction - same denominator The same denominator is placed and the numerators are added. - Different denominator The denominators are multiplied and then denominator nominators are multiplied. - Minimum common multiple m.c.mSe break down the numbers to find the denominator , then proceed to multiply with the denominator of each fraction and divide with the numerator
Multiplication, multiplied in a straight line
Division, multiplied from left to right
Rules of 3
It is an operation that aims to find the fourth term of a proportion when three are known. There are two types
Simple
Direct
Increases-increases decreases-decreases
Reverse
Icreases-Decreases Decreases-Increases
Composed
Has two or more variables
Percentages
represents a given quantity as a fraction in 100 equal parts.
Inequalities
It is a mathematical expression separated by a sign, the sign may be , < , > , Examples 7>2 5<10 6≤6 3≥4
System of equations 2x2
It is a set of two or more equations containing two or more unknowns, such equations have relationship to each other since the value of unknowns satisfy them at the same time, there are three methods to solve them
Linear maps
is a polynomial function of first degree. i.e., is represented thus f(x)= m . x + n being m 0
Subtopic
Exponential function
is that which the independent variable x appears in the exponent and has a constant base a. Its expression is: f(x) = aˣ being a positive real, a > 0, and different from 1, to 1. When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, is a growing function.
Subtopic
Logarithmic function
is that which is generically expressed as f (x) == logax, being at the base of this function, which must be positive and distinct from 1. The logarithmic function is the inverse of the exponential function
Subtopic
Subtopic
Theory of sets
is a branch of mathematical logic that studies the properties and relationships of sets: abstract collections of objects, considered as objects in themselves. The sets and their most elementary operations are a basic tool in the formulation of any mathematical theory. there are different definitions of sets
Extent or enumeration
its elements are locked between keys and separated by commas. Each set describes a listing of all its elements.
Compression
its elements are determined through a condition that is established between keys.
Plot of Venn
closed regions that allow us to visualize the relationships between the sets.
Verbal description
is a statement that describes a characteristic common to all the elements of the set.
Cuadratics function
A quadratic (or parabolic) function is a polynomial function of second degree. That is, it has the form f(x) = ax 2 + bx + c. The graph of a quadratic function is always a parabola.
Subtopic
Intervals
It is a way of expressing the results of inequalities or inadequacies.
- ( ) Open interval and ends are not taken into account. condition is not taken into account and is used when the sign is >,< - [ ] Closed interval, the number being spoken of is used and used when the sign is , - ( ] semi-open and semi-closed, because at one end [ ) I include the number and at the other I do not.