iosr-Jm   Volume-11 ~ Issue-5 ~ Sep-Oct 2015

Abstract: Diabetic mellitus is a chronic disease of pancreatic origin which is not fully curable once a person became diabetic. This paper treats the model with prophylactic treatment, considering a person who is exposed to diabetes and organ failure. In this model, time to diabetes is Erlang-2 where as organ failure process is general. In this paper we present the expected time to treatment and expected cure time with numerical examples.

Keywords: Chronic diseases, Prophylactic treatment,Preventivemaintenance, Erlang-2.

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Abstract:This paper proposes a family of single step, fifth and fourth order continuous hybrid linear multistep methods (CHLMM). These methods are used to integrate the initial value problems of first order ordinary differential equations. The methods are obtained from the continuous schemes derived via interpolation and collocation procedure. The schemes are consistent, zero stable, convergent and accurate. Taylor's series approximation was adapted as simultaneous numerical integrators over non-overlapping intervals values and for the implementation of the methods. These methods compared favorably with some existing methods because they are efficient and simple in terms of derivation and implementation.

[1]. S. A. Odejide and A. O. Adeniran, A Hybrid Linear Collocation Multistep Scheme for Solving First Order Initial Value Problems. Journal of the Nigerian Mathematical Society 31, 229-241, 2012.
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[4]. D. O. Awoyemi, On some continuous linear multistep methods for initial value problems. Ph. D Thesis (Unpublished). University of Ilorin, Nigeria, 1992.
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Abstract:A family of functions is identified and all of its properties to be a complex continuous wavelet are verified and are applied in analyzing time series by using popular software Matlab. We discuss the cross wavelet spectrum and wavelet coherence using this new wavelet for examining relationships in time frequency space between two time series. We demonstrate how phase angle statistics can be used to gain confidence in causal relationships and test mechanistic models of physical relationships between the time series. The different graphical representation provided by the wcoher.m function in Matlab is used.
Keywords: One dimensional complex continuous wavelets, Wavelet cross spectrum and Wavelet coherence for Complex-valued Wavelets.

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[5]. Paul S Addison : The Illustrated Wavelet Transform Handbook, Introductory Theory and Applications in Science, Engineering, Medicine and Finance Napier University, Edinburgh, UK.
[6]. Significance tests for the wavelet cross spectrum and wavelet linear coherence Z. Ge Ecosystems Research Division, NERL, USEPA, 960 College Station Road, Athens, GA 30605, USA

Abstract:This presentation is based on a large study whose purpose was to explore the pedagogical practices in integration of ICT in teaching and learning mathematics in secondary schools in Nairobi County. The study adopted a descriptive survey design. Three instruments questionnaires', a structured interview schedule and an observation checklist were used to collect data. The study was carried out in twelve public secondary schools in Nairobi County. Data was analysed using descriptive statistics. Findings from the study indicated that, there were low levels of ICT integration, Mathematics teachers were not well prepared to integrate ICT in teaching Mathematics.

This presentation is based on a large study whose purpose was to explore the pedagogical practices in integration of ICT in teaching and learning mathematics in secondary schools in Nairobi County. The study adopted a descriptive survey design. Three instruments questionnaires', a structured interview schedule and an observation checklist were used to collect data. The study was carried out in twelve public secondary schools in Nairobi County. Data was analysed using descriptive statistics. Findings from the study indicated that, there were low levels of ICT integration, Mathematics teachers were not well prepared to integrate ICT in teaching Mathematics.

Abstract: Prime Minister voting tendencies are of interest every 5 years. By considering three party system generate a probabilistic transition matrix, or by the system of difference equation to solve the variables. Keywords: Probabilistic Transition Matrix, System of Difference Equation, Langrange's Interpolation, Markov Chain Process, Graphical Analysis.

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