NMAC08	Ordinary Differential Equations, 7,5 ECTS-points /ORDINÄRA DIFFERENTIALEKVATIONER/ Advancement level: C
	Aim: To teach students the more advanced theory of ordinary differential equations. Prerequisites: NMAA12 Linear Algebra, NMAA13 Mathematical analysis I and NMAB13 Mathematical analysis II (or their equivalent). Course organization: Lectures and problem classes. Course content: Picards existence theorem. Second-order linjear differential equations with variable coefficients (Boundary-value problems with the help of Green's functions). Power-series solutions. Sturm's comparison theorems. Systems of linjear differential equations, fundamental systems of solutions. Stability theory for planar autonomous systems. Liapunov's theorem.
ODET	A written examination.

Course language is Swedish.