MATE-1214 Integral Calculus with Differential Equations

This course is in part a continuation of the study of one-dimensional Calculus: one of the main concepts introduced in this course is that of integration. Here the student enlarges his/her toolkit to model instantaneous phenomena by the use of integration techniques. On the other hand, an Introduction to the theory of linear differential equations is also given: differential equations are the butter and bread of scientists and engineers, and, without any hint of doubt, they enormously expand the realm of possible applications of Cal- culus. Finally, as a first encounter with infinity and its paradoxical properties, series is a topic of study covered in this course; and again, as we want students to notice that mathematical concepts are not that far from real world applications, the study of series and its convergence properties derives in the study of Taylor series.




Ramirez Vallejo Jorge