Results obtained for the characterization of optimal controls in distributed parameter systems with quadratic cost criteria are specialized to the case of pointwise control. The optimal control is given by a simplified linear control law which depends on the control point location. The general results are also specialized to obtain the modal analytic approximation to the pointwise control problem. An example involving the scalar heat equation is solved and the pointwise feedback control law, is shown to be characterized, structurally, by a measurement operation which is independent of control point location and a gain operation which depends directly on control point location.