Difference- & Differential Equations

Faculteit Economie en Bedrijfskunde
Jaar 2017/18
Vakcode EBB812A05
Vaknaam Difference- & Differential Equations
Niveau(s) bachelor, uitwisseling
Voertaal Engels
Periode semester I b
ECTS 5
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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 plot solutions of nonlinear difference equations and simple bifurcation diagrams, write up the results in a report and explain them orally.
4.Explain the dynamic properties of simple economic models, such as cobweb 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 hoorcolleges, werkcolleges
Toetsvorm opdracht(en), schriftelijk tentamen met open vragen
(Group assignment (paper))
Vaksoort bachelor
Coördinator dr. A. van der Made
Docent(en) student-assistants ,dr. A. van der Made
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)50 363 7077, e-mail: a.van.der.made@rug.nl.
Secr: Martine Geerlings-Koolman, phone: +31(0)50 363 7018, 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 open to Exchange Students (BSc)  ( Courses open to Exchange Students (BSc) without limited access) 2 semester I b keuze