Data from 169 students on 22 variables were used to study the relationships among characteristics often associated with learning mathematics, to develop models for predicting performance during and following a university mathematics course, and to explore sex differences in the variables and prediction models. Of 231 correlations among the variables, 152 were significant at the . 05 level, indicating the existence of associations useful for developing prediction models. Previous work in mathematics, quantitative ability, precourse knowledge of the subject, and self-concept were among the covariates found to be useful in predicting end-of-course performance and long-term retention of concepts. Sex differences associated with better predictability of results for females were not confirmed by these data.