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Arithmatic Progration, Geometric progression, Harmonic progression
A.P., G.P., H.P. :Definitions of A. P. and G.P.; General term; Summation of first n-terms; A.M.and G.M.; Definitions of H.P.
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Application of Calculus
Application of Calculus : Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima.
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Differential Equations
Differential Equations : Formulation and solution of differential equations of the forms.
1) dy / dx = ƒ(x).g(y)
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Integral calculus
Integral calculus : Integration as a reverse process of differentiation, indefinite integral of standard functions.
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Differential calculus
Differential calculus : Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain ru
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Co-ordinate Geometry: Circle
Circle : Equation of a circle with a given center and radius.
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Co-ordinate Geometry: Conics
Conics : Definition, Directrix, Focus and Eccentricity, classification based on eccentricity.
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Co-ordinate Geometry: Parabola
Parabola :Standard equation.
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Co-ordinate Geometry: Ellipse and Hyperbola
Ellipse and Hyperbola : Reduction to standard form of general equation of second degree when xy term is absent.
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Co-ordinate Geometry: Straight line
Straight line : Slope of a line. Equation of lines in different forms, angle between two lines.
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Basic Ideas of Co-ordinate Geometry
Co-ordinate Geometry
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Trigonometry
Trigonometry
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Probability
Probability : Classical definition, addition rule, conditional probability and Bayes’ theorem, independence, multiplication rule.<
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Sets, Relations and Mappings
Sets, Relations and Mappings : Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diag
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Matrices
Matrices : Concepts of m x n (m≤3, n≤3) real matrices, operations of addition, scalar multiplication and multiplication of matrice
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Infinite series
Infinite series : Binomial theorem for negative and fractional index.
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Binomial theorem
Binomial theorem (positive integral index) :Statement of the theorem, general term, middle term, equidistant terms, properties of
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Principle of Mathematical Induction
Principle of Mathematical Induction : Statement of the principle.
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Permutation and combination
Permutation and combination : Permutation of n different things taken r at a time (r≤n).
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Quadratic Equations
Quadratic Equations : Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Forma