Feb 22, 2008
Multiplication by Addition
Hideo Nagahashi
Multiplication is defined by repeating addition like 2x3=2+2+2, and so multiplication usually takes more time to compute than addition. Viewing the relation between the multiplication and the addition from a different perspective, there was an attempt to simplify the computation of multiplication. In this talk we see some interesting connection between these two operations. The talk is fairly elementary; MA110 students can understand most of it.
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Mar 28, 2008
Open Forum on Finite Mathematics
by Mathematics Curriculum Committee
This Open Forum was initiated in the Mathematics Curriculum Committee in order to overview the curriculum of MA 110 -- Finite Mathematics. This course provides necessary mathematical skills to those UOG students who do not major in mathematics or sciences. We will discuss a Questionnaire approved by the committee for distribution to UOG faculty. The Forum will consist of a short introduction, a panel discussion and questions from the audience. Results and recommendations arising from the Forum and the Questionnaire will be presented for consideration to the department. Thanks for your attendance and your contribution to a meaningful discussion!
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Apr 25, 2008
Singularly Perturbed Markov Processes and Applications to Dynamic Systems
Grazyna Badowski
Dynamic systems are widely used for modeling in technological and natural sciences: chemistry, biology, population dynamic, epidemiology, electric engineering, economics, networks. We will talk about stability of dynamic systems involving singularly perturbed Markov processes. Due to the singular perturbation and the complexity of the system, the stability analysis is difficult. First we will discuss asymptotic properties of Markov chains. The state space of the underlying Markov chain can be decomposed into several groups of recurrent states. Lumping the states in each recurrent class into a single state gives rise to a limit system. We will show that if the limit system is stable then the original system is also stable. This justifies from a longtime behavior point of view, the replacement of a complicated original system by its limit. Similar approach can be used to find optimal control.
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