Vector Calculus: Vector fields, line integral, Green's theorem, surface integral, Stokes' theorem, divergence (Gauss) theorem. Coordinate systems of R³. The Jacobian , Topology of Rⁿ: Open sets, closed sets, cluster points, boundedness, Bolzano – Weierstrass theorem, compactness, Heine-Borel theorem. Connectedness. Sequences of Real Numbers: Sequences and their limits, limit theorems, monotone sequences, subsequences and the Bolzano-Weierstrass theorem, Cauchy sequences, properly divergent sequences.Series of Real Numbers: Convergence, tests of convergence, power series, Taylor series, Abel's theorem. Sequences and Series of Several Variables: Convergence, tests of convergence, double series.