Integral calculus in R2 and R3
? Double integrals and applications
? Triple integrals and applications
? Change of variables in double and triple integrals
? Line integrals. Green?s Theorem.
? Surface integrals. Stokes? and Divergence Theorems.
Linear differential equations of order higher than one
? Solving homogeneous linear equations
? Method of the annihilator polynomial
? Reduction of order
? Method of variation of parameters
Systems of linear differential equations with constant coefficients
Laplace transform and applications in solving differential equations
Bibliography of reference
J. Stewart, Cálculo , 4ª ed., Vol.2, Pioneira, São Paulo, 2001.
A. Breda e J. Costa, Cálculo com funções de várias variáveis, McGraw-Hill, Lisboa, 1996.
Dennis G. Zill, A first course in differential equations with applications, Brooks/Cole, 2005.