Fundamental Mathematics/Arithmetic

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Arithmetic Number[edit]

Natural number The numbers which are generally used in our day to day life for counting are
termed as natural numbers. They are also referred to as "counting" numbers
,
Even number Number divides by 2 without remainder . Even number is denotes as 2N
Odd number Number divides by 2 with remainder Odd number is denotes as 2N+1
Prime number Number divides by 1 and itself without remainder . Prime number is denoted as P
Integer Signed numbers
Fraction
Complex Number number made up of real and imaginary number
Imaginary Number

Arithmetic Operations on Arithmatic numbers[edit]

Mathematical Operations on arithmetic numbers

Mathematical Operation Symbol Example
Addition
Subtraction
Multiplication
Division
Exponentiation
Root
Logarithm
Ln

Arithmetic Expression[edit]

Example of arithmetic expression

Operation Arithmetic Expression[edit]

Example

Order of performing mathematical operation on expression follows

  1. Parenthesis . {}, [] , ()
  2. Power .
  3. Plus, Minus,Multiply,Divide . +, -, x , /

Arithmetic Function[edit]

Definitiion[edit]

Function is an arithmetical expression relate 2 variables . Function is denoted as

meaning for any value of x there is a corresponding value y=f(x)

Where

x - indepent variable
x - depent variable
f(x) - function of x

Example[edit]

x -2 -1 0 1 2
f(x) -2 -1 0 1 2

Plot those points above in rectangular coordinate we obtain a graph of a straight line passing through origin point (0,0)


x -2 -1 0 1 2
f(x) -4 -2 0 2 4

Plot those points above in rectangular coordinate we obtain a graph of a straight line passing through origin point (0,0) with a steeper slope


x -2 -1 0 1 2
f(x) -7 -5 0 5 7

Plot those points above in rectangular coordinate we obtain a graph of a straight line

Cuts y axis at (0,3) . This point is called x intercept
Cuts x axis at (-3/2,0) . This point is called y intercept

Types and Graphs of function[edit]

Calculus , mathematical operations on arithmetic function[edit]

Mathematical Operations Symbol Example
Change in variables , ,
Rate of change
Limit
Differentiation
Integration

Arithmetic Equation[edit]

Arithmetic Equation is a expression of a function of variable that has value equal to zero

Equation can be solve to find value of variable that satisfy equation . The process finding value of variable is called Root finding . All value of variable that would make its function equal to zero is called Root of the equation

Example[edit]

Equation .
Root .
is the root of the equation since substitution the value of x in the equation we have

Types of equations[edit]


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