Numbers series and numbers series. Sequence of real valued functions. Power series.
Fourier series.
Riemann integral.
Applications of the Riemann integral.
Vector spaces, Vector valued functions
limits, polar coordinates, continuity. Partial derivatives; differentials.
maxima and minima.
Implicit function theorem: Lagrange multipliers. Taylor polynomials; hessian matrix.
Multiple integrals, line integrals, surface integrals; lenght of a curve.
O. D. E.; Cauchy problem.
