Fundamental Mathematics/Arithmetic
Contents
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 Operation[edit]
Mathematical Operations on arithmetic numbers

Mathematical Operation Symbol Example Addition Subtraction Multiplication Division Exponentiation Radical Log Ln
Arithmetic Function[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
Types and Graphs of function[edit]
Polynomial Functions[edit]
Trigonometry Functions[edit]
Mathematical operation on arithmetic function[edit]

Mathematical Operations Symbol Example Change in variables , , Rate of change Limit Differentiation Integration
Arithmetic Equation[edit]
Polynomial Equation[edit]
1st ordered polynomial equation
1st ordered polynomial equation has general form . The solution to the 1st ordered polynomial equation
Divide the quadratic equation by a, which is allowed because a is nonzero:
2nd ordered polynomial equation
1st ordered polynomial equation has general form . The solution of the 2nd ordered polynomial equation
Divide the quadratic equation by a, which is allowed because a is nonzero:
Subtract c/a from both sides of the equation, yielding:
The quadratic equation is now in a form to which the method of completing the square can be applied. Thus, add a constant to both sides of the equation such that the left hand side becomes a complete square:
which produces:
Accordingly, after rearranging the terms on the right hand side to have a common denominator, we obtain:
The square has thus been completed. Taking the square root of both sides yields the following equation:
Isolating x gives the quadratic formula:
The plusminus symbol "±" indicates that both
are solutions of the quadratic equation.^{[1]} There are many alternatives of this derivation with minor differences, mostly concerning the manipulation of a.
Some sources, particularly older ones, use alternative parameterizations of the quadratic equation such as ax^{2} − 2bx + c = 0^{[2]} or ax^{2} + 2bx + c = 0,^{[3]} where b has a magnitude one half of the more common one. These result in slightly different forms for the solution, but are otherwise equivalent.
A lesser known quadratic formula, as used in Muller's method, and which can be found from Vieta's formulas, provides the same roots via the equation:
Differential Equation[edit]
1st ordered differential equation
. Solution of the 1st ordered differential equation above is
2nd ordered differential equation
The solution of the 2nd ordered polynomial equation above

One real root Two real roots One complex roots
Special nth derivative differential equation
Go to the School of Mathematics 
 ↑ Sterling, Mary Jane (2010), Algebra I For Dummies, Wiley Publishing, ISBN 9780470559642, https://books.google.com/books?id=2toggaqJMzEC&pg=PA219&dq=quadratic+formula#v=onepage&q=quadratic%20formula&f=false
 ↑ Kahan, Willian (November 20, 2004), On the Cost of FloatingPoint Computation Without ExtraPrecise Arithmetic, http://www.cs.berkeley.edu/~wkahan/Qdrtcs.pdf
 ↑ "Quadratic Formula", Proof Wiki, http://www.proofwiki.org/wiki/Quadratic_Formula