Assess students' ability to determine pointwise versus uniform convergence for sequences and series of functions and analyze the consequences for continuity, interchange of limit and integral, and termwise differentiation; tasks should include proving preservation theorems, constructing counterexamples (on compact and noncompact domains), and applying tests such as the Weierstrass M‑test and uniform convergence criteria while explaining necessary hypotheses for exchanging limits, integrals, and derivatives.