Analysis and algebra: set theory, sequences and series, quadratic forms, separation and fixed‑point theorems. Static optimization: Weierstrass, Lagrange, Kuhn‑Tucker theorems; convexity, quasi‑convexity, envelope theorem. Dynamic optimization: Maximum Principle and Bellman's equation. Applications to economic theory.
Analysis and algebra: set theory, sequences and series, quadratic forms, separation and fixed‑point theorems. Static optimization: Weierstrass, Lagrange, Kuhn‑Tucker theorems; convexity, quasi‑convexity, envelope theorem. Dynamic optimization: Maximum Principle and Bellman's equation. Applications to economic theory.