* Indices,
surds and some identities:This page contains some of the most important results from indices, surds and some of the common identities. These will be useful for mathematics students to simplify expressions involving powers, radical signs like square roots and cube roots, and simplify and factorise algebraic expressions involving identities * Logarithms:concept of log, base changing rule, log of a product, quotient etc. * Quadratic equationsInformation on the quadratic equation of second degree, the quadratic formulae, to solve quadratic equation, the nature of the roots using the discriminant, relation between the roots and the coefficients of the quadratic equation. * Complex
NumberNotes on complex numbers, concept of the imaginary unit i, powers of i, general form of a complex number, modulus, amplitude etc. * ProgressionArithmetic progression(A.P.),
Geometric progression (G.P), Harmonic progression
(H.P) ,nth term , sum of n terms, of A.P. and G.P sum of infinite number of terms of a G.P , sum of the first n natural numbers, sum of the squares of the first n natural numbers and sum of the cubes of the first n natural numbers * Trigonometry
formula trigonometry identity, trigonometry formulae,
trigonometricratio/value of standard angle * Sign
of trigonometry ratios in different quadrant
ratiofor [(pi/2) - x] , [(pi/2) + x], [pi - x],[pi + x],[(3pi/2) - x] , [(3pi/2) + x],[2pi - x],[- x] sign of trigonometry ratio in different quadrants and the concept of trigonometry ratio for [(pi/2) - x] , [(pi/2) + x], [pi - x],[pi + x],[(3pi/2) - x] , [(3pi/2) + x],[2pi - x],[- x] * Analytical
GeometryThe distance formula, section formula, midpoint formula, various equations of straight line like point slope,two point, intercept form, equation of circle, condition for orthogonal circle, equation of tangent to a circle are given. * Vectorvector dot product, cross product,magnitude or modulus of a vector, unit vector scalar triple product [S.T.P], vector triple product[V.T.P] * list
of differentiation formulalist of differentiation formula like power rule, trigonometric function * integral
calculus integration formulalist of formula used for integration of functions, integral calculus * correlation
coefficient equation of regression lineCarl pearson correlation coefficient, equation of the line of regression of y on x and the regression line of x on y
* Indeterminate
forms, LHospital's rule, Permutation and Combinationthe list of indeterminate forms, how to evaluate limits of the form 0/0 and infinity/ infinity using l hospital's rule, the concept of permutation and combination * square
root without using calculator by using long division
method method of finding the square root by long division without using calculator * Hyperbolic
functionDefinition of hyperbolic functions sinh x, cosh x ,tanh x , coth x, cosech x, sech x and some identities of hyperbolic functions. * Laplace
Transform Inverse laplace transformLaplace transform and inverse laplace transform of some standard functions for b.tech, be students. * Graph
Theory definitionsThis page contains some of the most basic definitions from the subject of graph theory, which might be useful to the students of computer science. |

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