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Difference- & Differential Equations
| Faculteit | Economie en Bedrijfskunde |
| Jaar | 2022/23 |
| Vakcode | EBB812A05 |
| Vaknaam | Difference- & Differential Equations |
| Niveau(s) | bachelor, uitwisseling |
| Voertaal | Engels |
| Periode | semester I b |
| ECTS | 5 |
| Rooster | rooster |
| 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. |
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| 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
(NB: Depending on the Covid situation, each lecture may consist of a number of prerecorded videos.) |
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| Toetsvorm |
-groepsopdracht, -schriftelijk tentamen (open vragen)
(Group assignment (paper)) |
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| Vaksoort | bachelor | ||||||||||||||||
| Coördinator | dr. D. Vullings | ||||||||||||||||
| Docent(en) | B.F.C. Claassen , student-assistants ,dr. D. Vullings | ||||||||||||||||
| Verplichte literatuur |
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| Entreevoorwaarden | Mathematics I, Mathematics II, Multivariate Calculus, Linear Algebra, Linear Algebra and Convexity | ||||||||||||||||
| Opmerkingen | Info: Dr Daniël Vullings, e-mail d.vullings@rug.nl. Secretary: Martine Geerlings-Koolman, phone +31(0)50 36 37018, e-mail m.a.koolman@rug.nl | ||||||||||||||||
| Opgenomen in |
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