Calculus III
Description
Functions of several variable. Limits. Partial derivatives, directional derivatives, geometric interpretation. Differentiable functions. Composite functions, higher order partial derivatives. Interchange of partial derivatives. Local maxima and minima. Change of variables, Jacobian. Local extrema, conditional extrema and Lagrange multipliers. Vector valued functions, continuity and differentiation. Scalar and vector fields. Differential operators, grad, div, curl in several coordinate systems, Poincare’s theorem. Double and triple integrals. Surface integrals, theorems of Green, Stokes, Gauss.
Division: Pure Mathematics