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    3. B.Sc. Objective Algebra & Trigonometry

    B.Sc. Objective Algebra & Trigonometry

    Posted By: Free butterfly
    Date: 9 Oct 2021 16:01:02
    B.Sc. Objective Algebra & Trigonometry

    B.Sc. Objective Algebra & Trigonometry by Mukesh Singh
    English | 2021 | ISBN: N/A | ASIN: B097THBG7V | 162 pages | PDF | 3.54 Mb

    SYLLABUS- B.Sc. OBJECTIVE ALGEBRA & TRIGONOMETRY,
    ALGEBRA
    UNIT-1
    Sequence and its convergence (basic idea), Convergence of infinite series, Comparison test, ratio test, root test,
    Raabe’s test, Logarithmic ratio test, Cauchy’s condensation test, DeMorgan and Bertrand test and higher
    logarithmic ratio test. Alternating series, Leibnitz test, Absolute and conditional convergence, Congruence modulo
    m relation, Equivalence relations and partitions.
    Unit 2
    Definition of a group with examples and simple properties, Permutation groups, Subgroups, Centre and
    normalizer, Cyclic groups, Coset decomposition, Lagrange’s theorem and its consequences.
    Unit 3
    Homomorphism and isomorphism, Cayley’s theorem, Normal subgroups, Quotient group, Fundamental theorem
    of homomorphism, Conjugacy relation, Class equation, Direct product.
    Unit 4
    Introduction to rings, subrings, integral domains and fields, Characteristic of a ring, Homomorphism of rings,
    Ideals, Quotient rings.
    TRIGONOMETRY
    Unit 5
    Complex functions and separation into real and imaginary parts, Exponential, direct and inverse trigonometric
    and hyperbolic functions, logarithmic function, Gregory’s series, Summation of series.

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