Difference- & Differential Equations

Uitgebreide vaknaam	Difference- & Differential Equations
Leerdoelen	Upon completion of the course the student is able to: 1.Solve initial value problems for and examine the stability of simultaneous systems of linear difference and differential equations with constant coefficients. 2.Examine the stability of equilibrium solutions of autonomous, nonlinear difference and differential equations, through linearization or the use of Lyapunov functions. 3.Use R to numerically investigate difference and differential equations and write up the results in a report. 4.Explain the dynamic properties of simple economic models, such as resource extraction models, growth models, etc., both in continuous and in discrete time. 5.Use calculus of variations and control theory to solve simple dynamic optimization problems.
Omschrijving	Equilibrium solutions, periodic solutions and the general solution of difference and differential equations. Stability properties of solutions of such equations. Simple dynamic economic models.Calculus of variations, control theory, the Maximum Principle.
Uren per week	6
Onderwijsvorm	-hoorcollege ,  -werkcollege
Toetsvorm	-groepsopdracht,  -schriftelijk tentamen (open vragen) (Group assignment (paper))
Vaksoort	bachelor
Coördinator	dr. A. van der Made
Docent(en)	student-assistants ,dr. A. van der Made , D. Vullings, MSc.
Verplichte literatuur	Titel Auteur ISBN Prijs Further Mathematics for economic analysis, 2nd edition, 2008, Prentice Hall Sydsaeter, K., et al. 9780273713289 ca. €  70,00
Entreevoorwaarden	Mathematics I, Mathematics II, Multivariate Calculus, Linear Algebra, Linear Algebra and Convexity
Opmerkingen	Info: Dr Allard van der Made, phone +31(0)50 36 37077, e-mail a.van.der.made@rug.nl Secretray: Martine Geerlings-Koolman, phone +31(0)50 36 37018, e-mail m.a.koolman@rug.nl
Opgenomen in	Opleiding Jaar Periode Type BSc Econometrics and Operations Research/EOR  (basisprogramma BSc EOR) 2 semester I b verplicht Courses Exchange (BSc)  (Courses Exchange Students (BSc) without limited access) 2 semester I b keuze Pre-MSc-programma’s FEB  (Pre-MSc EORAS) 1 semester I b verplicht