The curricular change implemented at the UNLP College of Engineering in 2003 was fundamentally based upon two concepts: the reorganization of content around conceptual axes and a new teaching methodology. This change led to discussions between the teachers and motivated them to carry out plans and take action in the classroom to improve the quality of teaching. In this work we refer to the subject of Mathematics C (Linear Algebra), which was previously given in two consecutive Calculus courses, and describe the way in which the subject’s content is currently taught, especially in the area of Linear Systems of Ordinary Differential Equations. To improve the teaching of this particular area, we present a proposal that includes the mathematic concepts of problem solving, applications in the different branches of engineering, graphic representations, and the utilization of software as a tool to study the performance of dynamic systems.