Métodos de Ensino e Avaliações

Ordinary Differential Equations: first order linear differential equations, separable equations, second order linear differential equations with constant coefficients. Vector Functions of one Variable: limits, continuity, derivatives and integrals, plane and space curves, parameterisation of curves, arc length. Functions of Several Variables: domains, level curves, limits and continuity, partial derivatives, differentiable functions, gradient vector, directional derivatives, chain rule, tangent plane and normal line, local and absolute extreme values, constrained extreme values, Lagrange multipliers, vector functions of several variables. Double and Triple Integrals: definition, properties and applications, double integrals in polar coordinates, triple integrals in cylindrical and spherical coordinates. Line Integrals: line integrals of scalar and vector fields, path independence, conservative vector fields, Green's Theorem.