Math Formulas

Thinking Operations

General Information

Number theory

Binomial theorem

Combinatorics

Pn=n!
Cnk=(nk)
Vnk=n!(nk)!

Sets

AB ; AB ; A B
ρAxA

Logic

Graph Theory

Algebra

Polynomials

Progressions

an=aa+(n1)d
an=a1qn1

Logarithm

logab=c ac=b

Exponents

a·a·a=a3

Roots

an=bbn=a

Proportionality

Inequalities

fx<gx

Equations

Complex numbers

Kamatni račun

Matrices

Geometry

Trigonometry

Two-dimensional geometric shapes

Three-dimensional geometric shapes

Vectors

a·b=|a||b|cosα
c=a×b

Analytical Geometry 2D

x2+y2=r2
x2a2-y2b2=1
x2a2+y2b2=1
y2=2px

Analytical Geometry 3D

ax+by+cz+d=0

Mathematical analysis

Important functions

Function Transformations

Limits

limxx0fx=a

Dervation

(f·g)=f·g±f·g

Integration

fxdx=Fx+C
cf(x)dx=cf(x)dx
abfxdx=Fb-Fa

Probability and Statistics

Probability

Statistics

x=x1+x2+x3+....+xnn