Limit and Continuity of Functions of several variables. Differentiability of real-valued functions of two variables. Partial differentiation, Jacobians and their properties, Schwarz’s and Young’s theorems. Euler’s theorem on homogenous functions. Taylor’s theorem for functions two variables and error estimation. Maxima and Minima, Lagrange’s multiplier method.
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