While in chapter 6 special functions which include Bessel’s equation, Legendre’s polynomial’s, Beta and Gamma functions along with properties including orthogonal properties are discussed. In chapter 5 we have discussed area, volume and Surfaces of Solids of Revolution of curves in Cartesian, polar and parametric coordinates, moment of inertia, improper and multiple integrals, Dirichlet’s Integral. Asymptotes of the curve and curve tracing in Cartesian, polar and parametric coordinates are discussed. In chapter 4 Lagrange’s multipliers method to find extreme points of two and more variables, Convexity, Concavity, and Point of Inflection are discussed. While in chapter 3 partial derivatives of higher orders, homogeneous function including Euler’s theorem, Jacobian and its properties, Taylor’s series. In chapter 1 we have discussed matrix algebra which includes basic terminology of matrix, matrix inverse, rank of a matrix and solution of homogeneous and non-homogeneous simultaneous equations, characteristic roots and vectors, quadratic forms, applications of matrices.
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