Math Technology ( Form 6 New Syllabus )

Quantum Number
Principle quantum number, n ( energy level ) describes the energy of an electron
Angular Momemtum quantum number, l ( type of orbital )
Magnetic quantum number, m (type of sub-orbital )

Spin quantum number, s describes the spinning of an electron

Electron configuration incorporates with: 
Aufbau Principle states electrons occupy the orbital from the lowest energy first, 1s,2s,2p...

Pauli Exclusion Principle states one orbital can be occupied by two opposite spins electron

Hund's Rule states the orbitals of a sub-shell that have equivalent energy must be occupied by single electron with parallel spins before any pairing of electron takes place.

refer:

http://www.sparknotes.com/physics/

Polynomial: f(x)=3x^3+2x^2+x+1
Rational Functions= f(x)/g(x) , f(x) & g(x) = algebraic functions, g(x) not equal to 0.

In general P(x) represents the polynomial function
               Q(x) represents the quotient

Long Division 

x^2,4,6 ( even ) = squadratic
x^1,3,5 ( odd ) = cubic

Reciprocal Graph

Domain Codomain Range
Df          Cf             Rf={ x: x > < equal. f is the element of real number }

Inverse function. We have no problem on this since we had learned at form 4.

f(x)= (x-2)(x+4)
     = x^2+2x-8
let y= f(x)
y= x^2+2x-8 ( solved by completing the square )
y=x^2+2x+(2/2)^2-(2/2)^2-8
y=(x+1)^2-9
y+9=(x+1)^2
square root ( y+9 )= (x+1 )
f(x)^-1={quare root (x+9)}-1

Quadratic must be solved by completing*

One-to-one relation = function
One-to-many relation= not a function
Many-to-one relation= function
Many-to-many relation=not a function