Math Formula Sheet

Keywords: math, formulas, reference, sheet, table

Thinking Operations
Number theory
a|m n·a=mDivisibility Rules
Binomial theorem
Combinatorics
Cnk=(nk)Combination
V n k = n ! ( n k ) ! Variation
Sets
AB ; AB ; A BOperations on Sets
Logic
Algebra
Polynomials
Progressions
a n = a a + ( n 1 ) d Arithmetic progression
a n = a 1 q n 1 Geometric progression
Logarithm
logab=c ac=bLogarithm
l o g a x = l o g b x l o g b a Changing the base of a logarithm
Exponents
a·a·a=a3Powers
Roots
an=b bn=aRoots
Equations
Complex numbers
z=a+ib   ;  i=-1Complex Numbers
Geometry
Trigonometry
a s i n α = b s i n β = c s i n γ Law of Sines
c 2 = a 2 + b 2 2 a b c o s 2 γ Law of Cosines
s i n 2 α + c o s 2 α = 1 Trygonometry Identities of same angle
Two-dimensional geometric shapes
Three-dimensional geometric shapes
Vectors
a · b = | a | | b | c o s α Scalar Product of Vectors
Analytical Geometry 2D
x 2 + y 2 = r 2 Circle
y = m x + b Linear equation
x 2 a 2 + y 2 b 2 = 1 Ellipse
Mathematical analysis
Important functions
Dervation
( f · g ) = f · g ± f · g Differentiation rules
Integration
fxdx=Fx+CTable of Integrals
c f ( x ) d x = c f ( x ) d x Integration Rules
abfxdx=Fb-FaDefinite Integrals
Probability and Statistics
Probability
PA=i=1nPA|Bi·PBiLaw of Total Probability
PBi|A=PA|Bi·PBiPABayes’ Theorem
Statistics