Numerical successions and series (monotonous and limited successions; subsuccessions; notion of limit, operations with limits; convergent series; convergence criteria; conditional convergence; commutative).
Successions and series of functions (simple convergence and uniform convergence, power series, developments in series, Taylor series, Fourier series).
Scalar functions of several variables (limits and continuity; partial derivatives, directional derivative and gradient vector, implicit function theorem; extreme; Lagrange multipliers).
Bibliography of reference
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.