Department of Mathematics and Statistics
UMKC (University of Missouri - Kansas City)

Graduate Seminar Series

Semester Fall 2008
Location: Royall Hall, Room 213 (Unless otherwise noted)
Day & Time: Wednesdays or Fridays, 2:00-2:50 pm (Unless otherwise noted)
Campus Map for Talks (PDF Format)

Organizer: Dr. Hristo Voulov, 235-5851
Email: voulovh@umkc.edu



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Dates, Titles, Speakers (with Abstracts as available)


  • Wednesday Sept. 10
    The n-dimensional Pythagorean Theorem via the Divergence Theorem
    Noah Rhee, Department of Mathematics and Statistics, UMKC

    The theorem of Pythagoras relating the squares of the lengths of the sides of a right triangle is well known. Its generalization to 3 dimensions is known as de Gua’s theorem. The generalization of this result to n dimensions has appeared many times in the literature. In this talk, we present a proof of the n-dimensional Pythagorean theorem using the divergence theorem.

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  • Wednesday Sept. 17
    On the Global Asymptotic Stability of Dissipative Maps in the Plane
    Hristo Voulov, Department of Mathematics and Statistics, UMKC

    We consider area-contracting maps in the plane, which are often called dissipative maps. If a smooth map has an asymptotically stable fixed point P, the area-contracting property seems necessary at least locally around P. Here we find sufficient conditions for global asymptotic stability of planar dissipative maps. Then, we apply this result to a 15 year old open problem about a second order rational difference equation, posed by G. Ladas.

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  • Friday Sept. 26  (Note date change)

    Miron Bekker, Department of Mathematics and Statistics, UMKC

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  • Wednesday Oct. 8

    Jie Xiong, University of Tennessee

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  • Friday Oct. 17

    Jianqing Fan, Princeton University

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  • Friday Oct. 24

    Jiahua Chen, University of British Columbia

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  • Friday Nov. 7

    Jiu Ding, Mississippi State University

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  • Friday Nov. 14

    Mohammed Boudjelkha, Rensselaer Polytechnic Institute

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