Educational guide 2023_24 Facultade de Comercio

Contents

Topic	Sub-topic
Real function	Introduction. Elementary functions: Graphs and properties (domain, continuity, growth / convexity). Derivability. Economic interpretation. Higher order derivatives: Convexity. Optimization.
Matrix calculus	Matrices. Operations with matrices. Determinants Systems of linear equations. Eigenvalues. Diagonalization. Quadratic forms.
Functions of several variables	Introduction. Elementary functions. Graphs and properties (domain, continuity, convexity). Partial differentiation: Calculation and interpretation. Jacobian matrix. Chain rule. Derivatives of a higher order. Hessian matrix. Convexity and concavity. Optimization. Lagrange problems.