Assess students' ability to state the Riesz representation theorem for Hilbert spaces (real and complex), explain its geometric/intuitive meaning (identifying the continuous dual with the Hilbert space via the inner product, uniqueness and norm equality), and solve basic examples: find the representing vector for simple functionals (e.g. in ℓ2 or L2), verify the representation, and compute norms. Scope: introductory graduate level, conceptual understanding and elementary computations only.