[Assess students' ability to analyze local and global convergence of Newton's method for nonlinear operator equations in Banach spaces. Items should require verification of hypotheses (Fréchet differentiability, bounded invertibility of the derivative, Lipschitz or majorant conditions), derivation of local/quadratic convergence estimates (Newton–Kantorovich), and comparison of globalization strategies (damped/line-search/trust-region) with illustrative examples or counterexamples.]