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    Algebra & Trigonometry

    Posted By: Free butterfly
    Date: 6 Oct 2021 19:34:59
    Algebra & Trigonometry

    Algebra & Trigonometry by Vasishtha
    English | 2021 | ISBN: N/A | ASIN: B096CMZ57D | 390 pages | PDF | 28 Mb

    SYLLABUS- ALGEBRA & TRIGONOMETRY,
    Section-A
    Properties of Integers - 1 Question
    Division algorithm. Euclidean algorithm. Fundamental theorem of arithmetic. Congruence and residue classes. Fermat's and Wilson's theorem.
    Algebraic Equations - 1 Question
    Relations between the roots and coefficients of general polynomial equation in one variable. Trans-formation of equations. Descarte's rule of signs. Solution of cubic equations (Cardon's method). Solution of bi-quadratic equations.
    Groups - 3 Questions
    Definition of a group with examples and simple properties. Subgroups Cyclic groups. Coset decomposition. Lagrange's theorem and its consequences. Fermat's and Euler's theorems. Homomorphism and Isomorphism. Normal subgroups. Quotient groups.
    The fundamental theorem of homomorphism. Permutation groups. Even and odd permutations. The alternating group A. Cayley's theorem.
    Section-B
    Trigonometry - 3 Questions
    Applications of De-Moivre s theorem. Expansion of trigonometrical functions. Exponential, circular, logarithmic, inverse circular, hyperbolic and inverse hyperbolic functions of a complex variable. Gregory's series. Summation of trigonometrical
    series.

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