Mathematics II for EOR

Uitgebreide vaknaam	Mathematics II for EOR
Leerdoelen	Upon completion of this module the student is able to 01. Calculate the length of a vector, and the inner product and angle between two vectors in the n-dimensional Euclidean space. 02. Find both a parametric and a non-parametric equation for a plane through three given points in the n-dimensional Euclidean space. Find the normal vector for a given plane. 03. Determine whether a given set of vectors in the n-dimensional Euclidean space is linearly independent. 04. Prove that a given sequence of vectors in the n-dimensional Euclidean space converges to its limiting value. 05. Prove that a given subset of the n-dimensional Euclidean space is open, closed, compact or something else. 06. Prove continuity for a given function on the n-dimensional Euclidean space. 07. Associate different matrix representations to a linear/quadratic function on the n-dimensional Euclidean space. 08. Identify equivalent metrics and norms and prove topological arguments under different metrics. 09. State and apply mean-value theorems. 10. Use Taylor theorem/expansion to evaluate intermediate forms and approximate certain function values. 11. Understand multi-variable differential calculus and calculate partial and total derivatives.
Omschrijving	Main educational goal: Students will learn to formulate in a mathematically correct way and acquire understanding of the mathematics underlying economic models. Students obtain the skills to prove results, and to solve problems. Topics: Vectors in Euclidean spaces, introduction to topology, functions of several variables and advanced analysis.
Uren per week	8
Onderwijsvorm	-hoorcollege ,  -werkcollege (Lectures (2*2h) and tutorials (2*2h) every week)
Toetsvorm	-individuele opdracht,  -schriftelijk tentamen (open vragen) (Assignments (25%) and the final written exam (75%).)
Vaksoort	propedeuse
Coördinator	Dr. W. Zhu
Docent(en)	student-assistants ,Dr. W. Zhu
Verplichte literatuur	Titel Auteur ISBN Prijs Mathematics for Economists, 1st edition, 1994 (or any later edition), W.W. Norton and Company Simon, Carl P., Lawrence Blume 9780393117523 €  81,00 Analysis II, 3rd edition, 2016, Springer Terence Tao 9789811018046 €  48,78
Entreevoorwaarden	Mathematics I for EOR is recommended. Admittance to the BSc EOR (contact the programme coordinator for questions).
Opmerkingen	Info: Dr. Wei Zhu, e-mail: w.zhu@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