Guia docente 2020_21 Facultade de Ciencias do Mar

Learning outcomes

Expected results from this subject	Training and Learning Results
To use with ease techniques of calculation of eigenvalues of a square matrix and of determination of the sign of a quadratic form. Solve problems in which you need to apply the techniques above.	A1 A2 A3 A4 A5	C1 C2	D1 D2 D3 D4 D5
Understand some basic concepts of differential calculus: partial derivatives, continuously differentiable function, chain rule, implicitly defined function, end / optimum of scalar functions.	A1 A2 A3 A4 A5	C1 C2	D1 D2 D3 D4 D5
Use the mechanics of calculation of partial derivatives of any order, of application of the chain rule, derivation of implicitly defined functions, as well as the techniques of calculating optimal / extreme with and without equality constraints. Apply the previous techniques to solving optimization problems.	A1 A2 A3 A4 A5	C1 C2	D1 D2 D3 D4 D5
To know the primitives of elementary functions and the main techniques of calculation of these. Understand the mechanics of calculating double integrals.	A1 A2 A3 A4 A5	C1 C2	D1 D2 D3 D4 D5
Use the mechanics of calculating primitives and double integrals with simple functions. Know how to apply the integral calculation to the determination of areas, volumes, centers of gravity, moments of inertia, etc.	A1 A2 A3 A4 A5	C1 C2	D1 D2 D3 D4 D5
Use a computer program, of symbolic calculation, for the resolution of problems related to the subject.	A1 A2 A3 A4 A5		D1 D2 D3 D4 D5