Functions of several variables: limits, continuity and partial derivatives, Chainrule, Tangent
planes and normal lines, Extrema and constrained extrema, Ordinary differential equations:
equations of first order (separable, homogenous, exact, linear and Bernoulli), Orthogonal
trajectories, Equations reducible to first order, High order linear equations, The variation of
parameters and operation method, Euler's equation, System of linear differential equations,
Series and tests of convergence, Taylor and Maclaurin expansion, Multiple integrals: double
integral in Cartesian and Polar coordinates, Triple integrals and Jacobians, Line integral, Green's
theorem.
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