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Functions of several variables, geometric representation partial and total increments, partial derivatives, derivatives of composite functions, directional derivatives, gradient, divergence and curl, Taylor formula, Lagrange multipliers, optimization problems.
Multiple integrals, line integrals and surface integrals and their evaluation, Greens, Gauss and Stokes theorems.
1. Piskunov, N., Differential and Integral Calculus, Volumes I and II, Mir. Publishers 1981
2. Kreyszig, E., advanced Engineering Mathematics, Wiley Eastern 1985