Series of numbers, tests of convergence. Sequences and series of functions, types of convergence, tests of convergence, the interchange theorems. Integration of real valued functions of several variables, Riemann sums and Riemann integrable functions, properties of the integral, iterated integrals and Fubini?s theorem. Integration over regions in Rn. Differentiation of vector valued valued functions of several variables (functions from Rn into Rm ).