Guia docente 2020_21 Facultade de Ciencias do Mar

Contents

Topic	Sub-topic
Linear algebra.	Operations with vectors in the plane and in space. The vector space Rn. Matrices and determinants. Basic operations with matrices and determinants. Discussion and resolution of systems of linear equations. Eigenvalues.
Calculation in several variables.	Introduction to the functions of several variables. Differentiable functions. Chain rule. Implicit derivation. Derivatives of higher order.
Optimization.	Maximum and minimum of scalar functions. Calculation of maxima and minima.
Integration of functions.	Integral of Riemann. The fundamental theorem of integral calculus. Calculation of primitives. Application to the calculation of areas. Integrals improper.