Krishna's - Elementary Algebra, Matrices & Trignometry

SYLLABUS- ELEMENTARY ALGEBRA & TRIGONOMETRY,
Paper I: Elementary Algebra and Trigonometry
Numbers: Natural numbers, Integers, Rational and Irrational numbers, Real numbers, Complex numbers, Mappings, Equivalence relation and partitions, Congruence modulon.
Roots of Equations: Fundamental Theorem of Algebra, Relations between Roots and Coefficients, transformation of equations, Descartes rule of signs, Algebraic Solution of a Cubic equations (Carden method), Bi-quadratic Equation.
Elementary Matrices: Symmetric, skew-symmetric, Hermitian and skew-Hermitian matrices; Elementary operations on matrices, adjoint and inverse of a matrix.
Trigonometry: De Movire's Theorem and its applications, Exponential, Logarithmic, Circular and hyperbolic functions together with their inverses, Gregory's series, Summation of Trigonometric series.