Mathematics-1(Calc.1): Review of limits, continuity, di?erentiability, Mean value theorem, Taylors Theorem, Maxima and Minima. Riemann integrals, Fundamental theorem of Calculus, unseasonable inte-grals, applications to area, volume. Convergence of sequences and serial publication, power series. Partial Derivatives, gradient and directional derivatives, cosmic string rule, maxima and minima, Lagrange multipliers. Double and Triple integration, Jacobians and change of variables formulation. Parametrization of curves and arises, vector Fields, line and surface integrals. Divergence and curl, Theorems of Green, Gauss, and Stokes.
Mathematics-2(Calc-2): Vectors in R^n, Vector spaces , System of running(a) equations, Definition and Algebra of matrices, Gaussian Elimination (Row echelon form), Rank of Matrix , unidimensional Transformations, Inner Product Spaces, Least squares approximations ( linear system ), Eigen determine and Eigen vectors.
Mathematics-3(Calc-3): First raise ODE, Higher order ODE, homogeneous equations, exactness, methods for finding integrating factors, Linear and Bernoullis equation, inear ODEs with constant coefficient and the Cauchy Euler equation, Beta da Gamma functions and their basic properties, statement of Eulers reflection formula, duplication formula via beta gamma, Laplace transforms, Series solution of ODEs, Illustrative examples as the equations of Legendre, Tchebychev etc., Legendre polynomials, their perpendicularity and completeness, Ordinary differential equations with regular singular points and the method of Frobenious, Fourier series and Fourier transforms, Basic partial differential equations of mathematical physics and their origins.
Mathematics-4(Calc-4): daedal numbers and functions, Complex Integration, Power Series, Applications of Contour Integration, Conformal Mapping and its applications, Interpolation, numerical integration, Linear algebraic equation, Roots of equation, Solution of a nonlinear equation: Bisection and Secant...If you want to get a full essay, order it on our website: Ordercustompaper.com
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