TATM32	Ordinary Differential Equations, 6 ECTS-points /Differentialekvationer/ Advancement level: C
	Aim: The course deals with ordinary differential equations and their applications, and is intended to give a somewhat detailed introduction to the theory. Prerequisites: A course in calculus. Course organization: Teaching is done in lectures and problem classes. Course content: Picard's existence theorem. Second order linear differential equations with variable coefficients (boundary-value problems are treated with the Green function). Power-series solutions. Frobenius method for weakly singular differential equations. Sturm's comparison theorems. Systems of linear differential equations, fundamental systems of solutions. Stability theory for autonomous systems. Liapounov's theorem. Course literature: Andersson, K.G., Böiers, L-C: Ordinära differentialekvationer.
TEN1	Written examination, 4 p.

Course language is Swedish.