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UNIT 1 : NUMBERS : Natural Numbers, Integers, Rational, Irrational and Real Numbers; Complex Numbers; Mapping, Relation and Partition; UNIT 2 : ROOTS AND EQUATIONS: General Properties of Equations; Relation Between the Roots and Coefficients; Transformation of Equations; Character and Position of the Roots (Descarte's Rule of Sign); Solution of Cubic Equations (Cardan's Method); Solution of Biquadratic Equations (Quadratic Equations); UNIT 3 : ELEMENTARY MATRICES : Elementary Operations on Matrices; Special Forms of Matrices; Adjoint and Inverse of a Matrix; UNIT 4 : TRIGNOMETRY : De Moivre's Theorem and its Applications; Exponential, Circular and Hyperbolic Functions; Logarithmic Functions of Complex Numbers; Inverse Circular and Hyperbolic Functions Complex Numbers; Gregory's Series; Summation of Trigonometrical Series

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