Numerical successions and series (monotonous and limited successions; sub-successions; the notion of limit; operations with limits; convergent series; convergence criteria; conditional convergence; commutativity).
Successions and series of functions (simple convergence and uniform convergence; potencies series; series developments; Taylor series; Fourier series).
Scalar functions of several variables (limits and continuity; partial derivative; directional derivative and gradient vector; implicit function theorem; extremes; Lagrange multipliers).
Bibliography of reference
Bibliografia principal:  José Miguel Urbano, Análise Matemática II, Notas de Curso, Coimbra, 2007.
 James Stewart, Cálculo, vol. I e vol. II, Thomson Learning, 2001.
 Jerrold E. Marsden e Anthony Tromba, Vector Calculus, W. H. Freeman (5th edition), 2003.