This final project discusses the generalization of the quadrature rule and its error bound M. The error bound satisfies the error inequality |Rn| ≤ M which depends on a parameter ∈ [0; 1] where Rn indicates quadrature rule error. If the parameter is replaced by a specific number, we obtain a special shape of the error inequality for midpoint, trapezoidal and Simpson rule which their…
This nal project discusses the technique of the alternating sum properties by using congruence modulo 4. Analytically this technique is implemented for Dedekind sums mod Z, 2Z and 4Z. The equations then are combined with Barkan-Hickerson-Knuth's formula from the Dedekind sums being partitioned by using the concept the continued fraction expansion. Keywords: Dedekind sums, Barkan-Hickerson…
This nal project discusses another method to compute the determinant of matrices called the modern method. This method is introduced by Ahmed and Bondar [Journal of Informatics and Mathematical Sciences, 6 (2014), 55-60], for third order matrices. In this nal project the method is implemented for the fourth order matrices. Keywords: Determinant of third order matrices, determinant of fou…
This nal project discusses a modication closed Newton-Cotes method by adding the value of the derivative function at the midpoint which is also called midpoint-derivative based closed Newton-Cotes method to approximate denite integral. Then, the results of numerical computation show that the approximation of midpoint-derivative based closed Newton-Cotes method is closer to the exact sol…
This final project discusses the development of a family derivative free iterative method with nine parameters for solving nonlinear equations. Analytically it is showed that this iterative method has the order of convergence six. Numerical simulation shows that the proposed methods are better than Newton method, Wang method and Neta method. Keywords: Iterative methods, derivative free, co…
This final project considers the estimation of the scale parameter of two parameters of Weibull distribution with known shape. The estimation is caried out using the maximum likelihood method and Bayesian method. Bayes estimator is obtained using Jeffrey’s prior and linear exponential loss function. Relative efficiency of the estimators are calculated in small and large samples using sim…
This final project discusses the Bayes estimator for the Rayleigh distribution parameter obtained by using Jeffrey’s prior and extention of Jeffrey’s prior under squared error loss function written by Ahmed et al. [International Journal of Scientific and Research Publications, 3 (2013), 1–9]. The best estimator is determined by comparing the Bayes risk using numerical simulation. The…
This final project discusses the linear model of love and happiness by taking a focus on the problem of romantic story of Romeo and Juliet. In this model, the quality of affection between Romeo and Juliet may change at any time. By observing changes in each individual affection, a linear system of ordinary differential equations is obtained. Furthermore, the stability of the equilibrium po…
This study was aimed at finding out the effect of Implementation government accounting system on performance of government apparatus. the effect of participation in budget preparation on performance of government apparatus, the effect of Organization culture to correlation Implementation government accounting system with performance of government apparatus, the effect of Organization commitment…
This final project discusses the premium sufficiency reserve of life insurance, whose reserve is evaluated by using gross premium assumption by considering the management expenses of insurance company. The calculation of premium sufficiency reserve of life insurance can be solved by determining the present value of complete annuity with recursive formula, the actuarial present value and an…
This research purpose to test the effect of financing, cash and company’s size toward Islamic Social Reporting (ISR) with profitability as an intervening variable. Research conducted in Islamic Commercial Bank (BUS) in Indonesia period 2012-2015 with purposive sampling method. Path analysis method was used to analyze the data. The result of research shows variable of financing and compan…
This final project discusses the differential transform method based on a Taylor expansion of the kernel on the Volterra integral equation of the second kind. This method can only be applied to the Volterra integral equation of the second kind having kernel k(x − t). By comparing the approximated solution to the exact solution through an example, it concludes that the differential transfo…
This nal project discusses an improvement for the iterative method based on the Ostrowski. Analytically, it is showed using Taylor expansion and geometry series that this iterative method has a convergence sixht-order. Numerical comparison shows that the method converges more quickly to the root of the expected than the comparison method. This method can be used as an alternative method t…
This research purpose to test the influence of intellectual intelligence against the understanding of accounting with spiritual intelligence and emotional intelligence as a variable moderation. Population and sample in the research master's degree Accounting students, this University of Riau. This research got 101 sample respondents. By using regression analysis models with spss version 16. Th…
This nal project discusses the trace of 22 matrix with natural numbers power of using a formula of the trace of power of 22 matrix dened by tr(An), where n is natural numbers. This is a review of full parts of Pahade and Jha [Advances in Linear Algebra & Matrix Theory, 5 (2015), 150{155]. Keywords: Matrix multiplication, powers of a matrix, trace of a matrix, determinant, factorial
This final projects present a two-step modified Newton’s method for solving nonlinear equation. Analytically, it is shown that the iterative method has the order of convergence four and each iteration, requires four function evaluations. The efficiency index of the method is 1:414 which is the same as Newton’s method. Furthermore, computational results show that the iterative method is…
Clean water obtained by the community District Mempura is still minimal. This is of course caused by many factors such as reservoir and flow in pipes. The water flow in this pipe which will be the author's review is the loss of energy in the flow of raw water transmission pipeline Water Supply System (WSS) District Mempura using EPANET 2.0 software with 3 (three) alternative transmission pipes …
The purpose of this study to develop and test comprehensive model of internal audit effectiveness. Specifically, this study examines the effects of competence, independence, cooperation internal audit with audit commitee and cooperation internal audit with external audit on internal audit effectiveness mediated audit quality. Furthermore, this study also test affecting management support effect…
This nal project discusses an iterative method based on the King-Werner me- thod for solving nonlinear equations. Analitically it is shown that the modied King-Werner method is of order 1 + √ 3. Furthermore, from numerical com- parisons the proposed method can be used as an alternative for some existing methods in solving nonlinear equations. Keywords: king-werner method, nonlinear e…
The research was done by applying a tool checks reliability of building against fire on Eria Bunda Mother and Children Hospital City of Pekanbaru. This examination aims to determine the level of reliability in the form of building Value Reliability System Safety Building (NKSKB) against fire which is the total percentage of the sum of the percentage of building safety system components (KSKB) t…