Differential and Integral Calculus

Convergence of Sequences and Series, Different types of tests for convergence, Alternating series and its convergence, Power series, Radius and interval of convergence of a Power Series, Maclaurin and Taylor series, Double integrals, techniques of evaluating double integrals, Applications to Area and Volume of bounded Regions, Double integrals in polar coordinates, Triple integrals, Finding mass center of mass and moments of Inertia of plane and solid regions, Line integrals, Green’s Theorem, Work done by a force, Divergence, Curl of a vector filed, Path independence of a line integral, Surface integrals, Flux of a force through a surface, Divergence and Stokes theorem.