+ INDICES, SURDS AND SOME IDENTITIES

    This page contains some information on indices , surds and also some basic identities which are useful for simplification of mathematical expressions.

+ QUADRATIC EQUATIONS

    This page contains some formulae for solving quadratic equations and also a method to write the quadratic equation whose sum and product of roots is known.

+ COMPLEX NUMBERS

    This page is about the imaginary unit "i" and the concept of square roots of negative numbers.

+ PROGRESSIONS

    This page is about arithmetic, geometric and harmonic progressions

+ ANALYTICAL GEOMETRY

    This page is about 2-d geometry like co ordinates, straight lines, conics.

+ TRIGONOMETRY

    This page contains trigonometry formulae and ratios for some angles.

+ PERMUTATIONS AND COMBINATIONS

    This page contains formulae on permutations and combinations

+ GROUPS

    This page contains definitions about groups

+ SOME THEOREMS



+ DIFFERENTIATION FORMULAE



+ INTEGRATION FORMULAE



+ HYPERBOLIC FUNCTIONS


+Laplace transforms
this page contains formulae on laplace transforms

+ Three Dimensional geometry
this page contains formulae/equations used in solving problems on co-ordinates, lines, planes and spheres

+Percentage

This page contains formulae on percentages

+Vectors

This page contains formulae on vectors

+time and work

This page contains formulae on time and work

logarithm

This page contains formulae on logaritms and antilogarithms and natural logarithms

Beta and gamma functions

This page contains formulae on beta and gamma funtions

Set

This page contains some information on sets

Numerical solution of differential equations

This page contains formulae for numerically solving differential equations

Numerical integration

This page contains formulae for numerical integration like trapezoidal rule, simpson's one third and three eighth rule

geometrical aspects of circles and tangents

this page contains geometrical aspects of circles and tangents to circles

graph theory

this page contains definitions,examples and some theorems from graph theory

Indeterminate forms and L'Hospital's rule

this page contains some indeterminate forms and information on L'Hospital's rule

order of performing mathematical operations

this page contains order of performing mathematical operations (bodmas principle)

method of finding square root without using calculator (long division type)

this page contains method of finding square root without using calculator (long division type)

Selected problems

 
integral of coshx cosx       --------> (integral of cosh x cosx)

integration problem

integral of sqrt(tan x)

proof using mathematical induction

Prove that n^2 < 2^n for every integer n>=5 using mathematical induction

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partial fractions

put into partial fraction 1 / {(x^3) + 1 }     -----> (partial fractions problem)

index of some other math problems

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