The present study analyzes the relationship between professional preferences and the academic performance of a group of students of Mathematics of the National University of San Agustín - Arequipa. To do this, a non-probabilistic sample of 68 students (66.17% men and 33.83% women) was taken, the Professional Preferences Profile Test was applied, and their average grade in mathematics was recorded. The results show that there is no connection between professional preferences and the academic performance of students. However, there are significant differences corresponding to sex and semester of study. So that men are more realistic and women more artistic, and the seventh-semestrer students have higher scores in research and third-semester students have higher scores in entrepreneurship.

En este trabajo, consideramos campos de vectores suaves por partes definidos en una superficie compacta. El primer problema que estudiamos es la caracterización de estabilidad estructural de campos de vectores suaves por partes. Despues de M Peixoto, J. Palis y A.F. Filippov vemos que las condiciones necesarias y suficientes son: hiperbolicidad de puntos singulares, genericidad de tangencias, no conexion de sillas singulares y solo orbitas recurrentes triviales. Estas condiciones son adaptadas para campos de vectores suaves por partes. El segundo problema es la genericidad de la estabilidad estructural. Mostramos que para campos de vectores suaves por partes, esto es tambien verdadero; es decir que, la estabilidad estructural es una propiedad generica.

The present study analyzes the relationship between professional preferences and the academic performance of a group of students of Mathematics of the National University of San Agustín - Arequipa. To do this, a non-probabilistic sample of 68 students (66.17% men and 33.83% women) was taken, the Professional Preferences Profile Test was applied, and their average grade in mathematics was recorded. The results show that there is no connection between professional preferences and the academic performance of students. However, there are significant differences corresponding to sex and semester of study. So that men are more realistic and women more artistic, and the seventh-semestrer students have higher scores in research and third-semester students have higher scores in entrepreneurship.