MATH 12TH STD
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 MATH 12TH STD

APPLICATION OF DERIVATIVES
Applications of the derivative in various disciplines: Engineering, science, social science, and many other fields. For instance, how the derivative can be used (i) to determine rate of change…
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CONTINUITY
Continuity is a popular topic in calculus. The easiest method to test for the continuity of a function is to examine whether a pencil can trace the graph of…
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DIFFERENTIABILITY
In calculus, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. As a result, the graph of a differentiable…
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DIFFERENTIAL EQUATIONS
Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations.
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INTEGRAL CALCULUS AND APPLICATION OF INTEGRALS
Integral as an anti – derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Integral…
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LIMITS
Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference,…
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PROBABILITY
Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution.
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STATISTICS
Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
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THREE DIMENSIONAL GEOMETRY
Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, angle between two intersecting lines. Skew lines, the shortest distance between them…
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VECTOR ALGEBRA
Vectors and scalars, addition of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, scalar and vector triple product.
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