Department of Mathematics

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https://keffi.nsuk.edu.ng/handle/20.500.14448/3873

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Browsing Department of Mathematics by Author "Chaku, Shammah Emmanuel"

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    A Class of Block Multi-Step Methods for the Solutions of Ordinary Differential Equation (Ode)
    (Department of Mathematical Science, Nasarawa State University Keffi., 2016-04-13) Nweze, N.O.; Chaku, Shammah Emmanuel; Offiong, M.N.; Maijamaa, Bilkisu
    In this research, an attempt is made to derive a self starting block procedure for some K-step linear multi-step methods (for K=1, 2 and 3), using Chebyshev polynomial as the basis function. The continuous interpolant were derived and collocated at grid and off-grid points to give the discrete methods used in block and applied simultaneously for the solution of non stiff initial value problem.The regions of absolute stability of the methods are plotted and are shown to be A (α) stable. The methods for K=2 and K=3 were experimented on initial value problems and the results reveal that the newly constructed block methods have good error stability and are efficient.
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    HARNESSING VIRTUAL CLASSROOM SYSTEM AS AN ALTERNATIVE FOR PART-TIME STUDIES IN NIGERIA
    (Department Of Mathematics, Nasarawa State University Keffi., 2011-09-26) Chaku, Shammah Emmanuel; Anyachebelu, Tochukwu Kene; Offiong, N.M.
    The clamour for higher education is on the increase globally, precisely, there is great need for higher education in Nigeria. For this mere fact, there was great need for part-time studies in the Nigerian universities. This need was short lived when the governing body of the Nigerian Universities; Nigerian University Commission (NUC) put a stop to this viable means of acquiring knowledge. The hope of Nigerians was salvaged with the advancement in technology, especially in the area of Information and Communication Technology (ICT). With these inventions, we have what is known as the virtual classroom (VC), a medium that works like the traditional classroom system. The virtual class room is a teaching and learning environment located within a computer-mediated communication system which supports collaborative learning. The virtual classroom has three prominent components: A Virtual Instructor, a Server and Virtual Students. These three components interact together to form the Virtual Classroom System (VCS). This paper shows how virtual classroom can be harnessed as a replacement for part-time studies in Nigeria with the aid of synchronous and asynchronous tools. The virtual instructor sends lecture notes and materials through the server (internet) and the virtual student receives the note and sends feed back through the server. The server here serves as the point of contact between the virtual lecturer and the virtual student just like what is obtainable in a traditional classroom.