Date 
Speaker,
Title and
Abstract 
November 28 

November 14 
Hyperbolic Conservation Laws and Entropy Conditions

November 7 
Dr.Yuri S. Ledyaev Department of Mathematics Western Michigan University Hyperbolic Conservation Laws and Entropy ConditionsHyperbolic Conservation Laws are
nonlinear partial differential equations (PDE) which play a central
role in the nonlinear PDE's theory and have numerous important
applications in science and technology.
In this talk we provide an introduction in the basic theory of Hyperbolic Conservation Laws including elements of the classical theory due to Kruzhkov (Kruzhkov's entropy condition). 
October 31 
Markowitz portfolio, capital asset pricing model and convex analysisDisclaimer: the views expressed in this talk may subject to the bias of many years of obssession with convex analysis and may not be objective. 
October 24 
Dr. Jay Treiman Department of Mathematics Western Michigan University Update on the Calculus II Skills TestThe department has been giving calculus II
students a skills test on first semester calculus problems for several
years. In the fall of 2006 the exam was switched to a uniform computer
generated exam. This fall a trial, in one section, was run of a
completely online version of the exam. This spring semester the switch
will be made to running only the online version of the exam.
This talk will go over the makeup of the exam and demonstrate what the students actually see. There will then be a demonstration of the instructors role in the online exams. Teachers will be responsible for adding and removing students from their class as well as downloading their students' test scores. 
October 17  Dr. Clifton E. Ealy Department of Mathematics Western Michigan University Loewy Decomposition of Linear Differential Equations In this talk, I will review
the results leading to "the Loewy decomposition of linear
differential equations" and consider few examples.

October 10 
Dr. D. Steven
Mackey Department of Mathematics Western Michigan University A New Schurlike Form for Matrices under Unitary Congruence (continuation of October 3 talk) 
October 3 
Dr. D. Steven
Mackey Department of Mathematics Western Michigan University A New Schurlike Form for Matrices under Unitary Congruence 
September
26 
Dr.Yuri S. Ledyaev
Department of Mathematics Western Michigan University Commutators of flows and fields (after Mauhart and Michor) This is the last talk in this series in which we discussed a proof of a global approximatecontrollability result for infinitedimensional control systems. This proof is based on a generalization (due to M.Mauhart and P.Michor) of a classical formula expressing Lie brackets of vector fields in terms of appropriate commutators of flows for Banach spaces. In this talk we discuss a derivation of the MauhartMichor result. 
September 19 
Dr.Yuri S. Ledyaev
Department of Mathematics Western Michigan University Commutators of flows and fields (after Mauhart and Michor) This is a continuation of the previous talk under the same title in which we discussed a proof of a global approximatecontrollability result for infinitedimensional control systems. This proof is based on a generalization (due to M.Mauhart and P.Michor) of a classical formula expressing Lie brackets of vector fields in terms of appropriate commutators of flows for Banach spaces. In this talk we discuss a derivation of the MauhartMichor result. 
September
12 
Dr.Yuri S. Ledyaev
Department of Mathematics Western Michigan University Commutators of flows and fields (after Mauhart and Michor) We discuss a generalization (due to M.Mauhart and P.Michor) of a classical formula expressing Lie brackets of vector fields in terms of appropriate commutators of flows for Banach spaces. In the case of finitedimensional spaces such results have found important applications in geometric control theory. We start with a brief survey of relevant controllability results. 
Last modified :November 7 2007