FAEN 201:Calculus II

Sequences and Series: Evaluating limits of sequences, tests of convergence of finite series, power series; radius and interval of convergence, Maclaurin and Taylor series.   Improper integrals: Convergence, Special functions: Gamma and Beta functions etc, Lagrange polynomials, finite differences, and least square approximation.  Functions of Several Variables: Limits and continuity, partial differentiation, critical points and their classifications, increments and differentials, implicit differentiation, the chain rule, directional derivatives.Differential operators: The gradient, the divergence and the curl operators, line integrals, multiple integrals, integration of vector functions, Green’s theorem, divergence and Stokes theorem.