19040
Vorlesung
SoSe 13: Differentialgleichungen I
Theodora Bourni
Kommentar
Inhalt In this course, one gets to know what ordinary differential equations are, how they naturally arise, how one can try to solve them. It is however often the case that one cannot explicitly solve a differential equation. It is therefore important to know whether a solution still exists, which properties it possesses (even without having explicit formulas for a solution), whether it makes sense to solve it numerically, etc. The following classical topics will be covered in the course:1.General notions of differential equation. Motivating examples.2.Existence theory.3.Continuous dependence of solutions on initial data.4.Solving some elementary differential equations.5.Linear differential equations with constant coefficients.6.Linear differential equations with variable coefficients.7.Nonlinear autonomous differential equations: phase spaces, flows.8.Nonlinear autonomous differential equations: stationary points, stability.9.Stable and unstable manifolds.10.Periodic solutions of differential equations and their stability. Voraussetzungen Analysis I, Basic theory of matrices. Literatur Wird nachgetragen. Schließen
14 Termine
Zusätzliche Termine
Mi, 03.07.2013 18:00 - 20:00Regelmäßige Termine der Lehrveranstaltung
Di, 09.04.2013 10:00 - 14:00
Di, 16.04.2013 10:00 - 14:00
Di, 23.04.2013 10:00 - 14:00
Di, 30.04.2013 10:00 - 14:00
Di, 07.05.2013 10:00 - 14:00
Di, 14.05.2013 10:00 - 14:00
Di, 21.05.2013 10:00 - 14:00
Di, 28.05.2013 10:00 - 14:00
Di, 04.06.2013 10:00 - 14:00
Di, 11.06.2013 10:00 - 14:00
Di, 18.06.2013 10:00 - 14:00
Di, 25.06.2013 10:00 - 14:00
Di, 02.07.2013 10:00 - 14:00
Di, 09.07.2013 10:00 - 14:00