SPECIFIC SKILLS:
The main goal of this course is to introduce the students into the study of both ordinary differential, and difference equations, with special emphasis on their dynamical aspects. More specifically, it is to be expected that, upon completion of this course students will:
1. Be able to solve linear differential equations , and systems of linear equations, with constant coefficients.
2. Know and be able to make use of the general theory of linear differential equations.
3. Be able to draw apprimately the phase map of linear systems in the plane.
4. Be able to perform a qualitative analysis of the phase space of autonomous differential equations.
5. Be able to solve linear difference equatiosn, and systems of linear difference equations, with constant coefficients.
6. Be able to perform a qualitative analysis of linear systems of difference equations on the plane.
TRANSVERSAL SKILLS:
1. Analysis and synthesis.
2. Modelling and solving problems.
3. Oral and written communication.