Description Asymptotes, Multiple Points, Test for concavity and convexity, Points of inflexion, Tracing of Curves in Cartesian, Parmetric and Polar forms. Limits and continuity of functions of several variables, Differentiability of functions of two variables. Partial differentiation, Jacobians and their properties, Schwarz’s and Young’s Theorem, Euler’s theorem on homogeneous functions Taylor’s theorem for functions of two variables, Maxima and Minima, Lagrange’s multiplier method for functions of several variables Double and Triple Integrals, Change of order of integration in double integrals, Change of variables. Applications to evaluation of areas, Volume, Centre of Gravity and Moments of Inertia
