Assess learners' ability to evaluate and compare numerical integrators for stiff ordinary differential equations, emphasizing stability properties (A‑stability, L‑stability, stability regions), accuracy (order, stiff order, local/global error behavior), and computational efficiency (cost per step, Jacobian assembly/solves, iterative solver convergence, step‑size control). Require design and interpretation of numerical experiments on representative test problems (linear stiff systems, van der Pol), reading stability/error‑vs‑work plots, and justifying method choice under varying problem structures and resource constraints.