## Mathematics II for EOR

 Faculteit Economie en Bedrijfskunde Jaar 2018/19 Vakcode EBP012B05 Vaknaam Mathematics II for EOR Niveau(s) propedeuse Voertaal Engels Periode semester I b ECTS 5 Rooster rooster

Uitgebreide vaknaam Mathematics II for EOR
Leerdoelen Upon completion of this module the student is able to
01. compute the angle between two vectors in the n-dimensional Euclidean space
02. write down a (non)parametric equation of the plane through three given points
03. check and prove (formulating correctly and completely) if a set of vectors is linearly (in)dependent or a basis of the space
04. compute and prove limits of sequences in several variables
05. prove a set is open, closed or compact
06. prove a function in several variables is linear or a quadratic form, and to determine the corresponding matrices
07. prove a function in one or more variables is continuous or is a norm
08. prove a sequence in the Euclidean space is a Cauchy sequence
09. compute the n-th order Taylor polynomial of functions in one variable and to estimate the remainder of a Taylor approximation of the n-th order
10. master the theory by solving problems individually or in small groups (A-practice), solve problems and test himselve or herselve (B-practice), grade B-practice problems of other students (C-practice), and solve problems and test themselves in a small group (T-practice)
Omschrijving Main educational goal: The student will learn to formulate in a mathematically correct way and acquires understanding of the mathematics underlying economic models.
He or she obtains the skills to prove results, and to solve problems.
Topics:
Introduction to linear algebra, functions of several variables and advanced analysis.
Uren per week 8
Onderwijsvorm hoorcolleges, practica
(Lectures and four types of Practice (A-Practice, B-Practice, C-Practice, T-Practice))
Toetsvorm actieve deelname, opdracht(en), schriftelijk tentamen
(B-Practice, C-Practice and written exam. Active participation in all practice meetings and lectures is a prerequisite for getting a grade.)
Vaksoort propedeuse
Coördinator dr. H.E. Nusse
Docent(en) dr. H.E. Nusse , student-assistants
Verplichte literatuur
Titel Auteur ISBN Prijs
Mathematics for Economists 1st edition 1994 (or any later edition), W.W. Norton and Company Carl P. Simon and Lawrence Blume 9780393117523 €  81,00
Entreevoorwaarden Mathematics I for EOR is recommended.
Admittance to the BSc EOR. Depending on e.g. capacity, other students may be allowed to participate in some or all course activities. (To be decided by the Programme Director.)
Opmerkingen Info: Dr Leny Nusse, phone: +3150 36 33806, e-mail: h.e.nusse@rug.nl.
Secr: Martine Geerlings-Koolman, phone: +3150 36 37018, e-mail: m.a.koolman@rug.nl.
Opgenomen in
Opleiding Jaar Periode Type
BSc Econometrics and Operations Research/EOR  (basisprogramma BSc EOR) 1 semester I b verplicht