Roll‘s and Mean value theorems, Taylor‘s theorem, Maclaurins theorem, Maxima & minima for functions of two variables, Curve tracing.

Double integrals, triple integrals, Change of order of integration, Change of variables, Simple applications, areas & volumes.

Exact, Linear and Bernoulli‘s equations, orthogonal trajectories, Homogeneous, Non-Homogeneous linear differential equations of second and higher order with constant coefficients.

Linear equations with variable coefficients-Euler equations, Method of variation of parameters, Simultaneous equations.

Gradient, Divergence, Curl and related properties, Line, surface integrals, volume integrals, Integrator, Stokes, Greens and Gauss-Divergence theorems..