In 1982 and 1983 the Measurement and Evaluation Center of the University of Texas at Austin conducted a set of three studies analyzing student performance in a physics course required for engineering students (Physics 303K) in relation to the students' scores on the College board Mathematics Level 1 and Physics tests and to an introductory physics course (Physics 306). The third of these studies, an investigation of whether the early course, Physics 306, helps overcome weak academic preparation and to determine the score intervals of the Achievement Test in mathematics to be used in placement was repeated in 1991 to update decision foundations. The 1,297 students who met the requirements for inclusion in this study were divided into those who had no previous college physics course before taking Physics 303K and those who has taken Physics 306. The introductory course appeared to be fulfilling its function of providing remediation and improving the chances of success for incoming engineering students. Certain score levels on the mathematics achievement test were recommended for placement decisions, with those scoring below 600 required or strongly advised to take the introductory course, and those scoring above 720 advised to enroll in the higher-level course. Four tables and one figure present study findings. (SLD)