The surface critical exponents are estimated both in ordinary and in special regimes from exact series expansions of up to 28 terms for a model of the Theta point. They are found to be in agreement with those derived for the Theta ' point, confirming the conjecture that the Theta and Theta ' points lie in the same universality class. Some essential features of the phase diagram for a self-interacting, self-avoiding polymer in solution are also calculated to a higher degree of accuracy than previously obtained.