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SYLLABUS- BCA MATHEMATICS "III, Uni t- 1Complex Variables: Complex Number System, Algebra of Complex Numbers, PolarForm, Powers and Roots, Functions of Complex Variables, Elementary Functions, InverseTrigonometric Function.Uni t- 2Sequence, Series and Convergence: Sequence, Finite and Infinite Sequences,Monotonic Sequence, Bounded Sequence, Limit of a Sequence, Convergence of aSequence, Series, Partial Sums, Convergent Series, Theorems on Convergence of Series(statement, alternating series, conditional convergent), Leibnitz Test, Limit ComparisonTest, Ratio Test, Cauchy's Root Test, Convergence of Binomial and Logarithmic Series,Raabe's Test, Logarithmic Test, Cauchy's Integral Test (without proof).Uni t- 3Vector Calculus: Differentiation of Vectors, Scalar and Vector Fields, Gradient,Directional Derivatives, Divergence and Curl and their Physical Meaning.Uni t- 4Fourier Series: Periodic Functions, Fourier Series, Fourier Series of Even and OddFunctions, Half Range Series.Uni t- 5Ordinary Differential Equations of First Order: Variable-Separable Method,Homogeneous Differential Equations, Exact Differential Equations, Linear DifferentialEquations, Bernoulli's Differential Equations,

Author

,,,

Published

2021

Language

EN