Calculus III

Code	16146
Year	2
Semester	S1
ECTS Credits	6
Workload	TP(60H)
Scientific area	Mathematics
Entry requirements	N.A.
Learning outcomes	This unit is an introduction to some fundamental mathematical methods in engineering: namely, differential equations, Laplace transforms, Fourier series and complex analysis.
Syllabus	1- Ordinary Differential Equations of first order. 2- Linear Ordinary Differential Equations of higher order. 3- Systems of Linear Ordinary Differential Equations. 4- Laplace transform and its applications. 5- Fourier Series with applications to Partial Differential Equations. 6- Fourier Transform; 7-An introduction to Complex Analysis
Main Bibliography	1 - R. Churchill, Operational Mathematics, McGraw-Hill. 2- R. Churchill and J. Brown, Complex Variables and Applications, McGraw-Hill. 3- W. Boyce and R. DiPrima, Elementary Differential Equations and Boundary Value Problems, Fourth Edition, John Wiley & Sons, 1986. 4--Teoria Elementar de Equações Diferenciais Ordinárias, F. Pestana da Costa, IST Press, 1998.
Language	Portuguese. Tutorial support is available in English.