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Paper–I : Algebra and Trigonometry : Sequence; Infinite Series; Groups and Simple Properties; Sub-Group; Cosets and Cosets Decomposition; Permutation Group Transformation Group and Cayley’s Theorem; Ring, Field Integral Domain; Transcendental Functions of Complex Quantities; Paper–II : Calculus Î-D Definition of The Limit of A Function; Continuous Functions and Classification of Discontinuties; Differentiability; Rolle’s Theorem, First and Second Mean Value Theorem, Taylor’s Theorem With Lagrange’s and Cauchy’s Forms of Remainder; Successive Differentiation And Leibnitz’s Theorem; Expansion of Functions; Indeterminate Forms; Partial Differentiations; Jacobians; Maxima and Minima; Tangents and Normal; Curvature; Envelops, Evolutes and Involutes; Asymptotes; Singular Points : Curve Tracing; Reduction Formula; Beta and Gamma Function; Length of Curves (Rectification); Quadrature; Surface and Volume of Solids of Revolution; Multiple Integrals; Paper–III : Geometry and Vector Calculus Confocal Conics; Polar Equation of A Conic; Cartesian Co-Cordinates System; The Plane; The Straight Line; The Sphere; The Cone and Cylinder; Conicoids; Derivative of Vector is Terms of Its Components

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