The background of this research is the lack of teaching materials that introduced regional resources to students in accordance with the demands of 2013 curriculum. This Research aims to develop teaching materials in the form of books that introduce regional wealth to students by introducing the map of Riau. This Research is a research and development (R&D) using the 4-D model that consist of de…
This research to improve the learning process and the students mathematical understanding skill by implementation cooperative learning model with the discovery method. The type of this research is classroom action research with two cycles. This research was conducted at class XI MIA 3 SMA Negeri 4 Kundur of the first semester to 24 students on 2019/2020 academic year on matrix material. The res…
This research aims to improve learning process and students’ mathematics learning achievement by applying Inquiry Learning model. Subject of this research are students of VIIIA SMPN 4 Tambang in second semester of academic year 2018/2019 which consist of 29 students. This research is a classroom action research with 2 cycles. The instruments of this research are learning device (Syllabus, Les…
Learning in the class must be well planned, one of which to create learning instrumen that refer to the curriculum implementation. This research aim to produces mathematics learning (Syllabus, RPP, and LKPD) using the problem based learning model in the linear two-variabel equation system sucject. This research is a research and development (R&D) using the 4-D model. The research instrument was…
This research aims to improve the learning process and increase mathematics learning outcomes by implementing the Problem Based Learning model of the students in class VIII.6 MTs N 1 Pekanbaru. Subject of this research are students of class VIII.6 MTs N 1 Pekanbaru in odd semester of academic year 2019/2020 which consist of 31 students. This form of research is a classroom action with two cycle…
This research is a classroom action research that aims to improve the learning process and improve student learning outcomes through the application of the Discovery Learning model. This research was conducted in class VII1 of SMP Negeri 3 Pekanbaru in the 2019/2020 odd semester school year. The subjects of this study were 40 students consisting of 21 male students and 19 female students. The …
This study aims to improve the learning process and the student’s mathematical representation skill by applying Problem Based Learning model. The research subject were 39 students of class VII3 SMPN 3 Pekanbaru. This study was conducted in the odd semester of the academic year 2019/2020. This research is Classromm Action Research with two cycles and each of cycle has four stages: planning, im…
This reasearch is a classroom action research that aims to improve the learning process and improve mathematics learning outcomes by implementing the Problem Based Learning model. This research consists of two cycles, each cycle consits of four stages. The stages are, lesson planning, implementation, observation, and reflection. The mathematic quiz was given at the end of every cycles. The data…
This final project discusses the application of the Chebyshev’s method to solve a nonlinear second order differential equation with boundary conditions. The Differential equations are discretized by finite difference methods to produce a nonlinear system. Furthermore, the nonlinear system is solved by the Chebyshev’s method. Computational tests are performed to see the convergence rate…
The final project discusses the least cost approach method based on the weighted opportunity cost to solve transportation problems. Weighted opportunity cost are formulated by considering supply and demand entries as weighted factors. Then by incorporating weighted opportunity cost table in the least cost method an algorithm is obtained to determine a better initial basic feasible solution.…
This final project discusses solving the traveling salesman problem in the form of an octagonal fuzzy number. The process is started by converting the octagonal fuzzy number into crisp numbers using the Robust’s ranking method , then to get the optimal solution the Hungarian method is used. To understand the process of getting the optimal solution, an example is given. This final project …
This nal project discusses a method for solving a quadratic fractional programming (QFP) problems. The method is called the decomposition method based on linear programming (LP) problem for nding an optimal solution to a quadratic fractional programming (QFP) problem, where both the numerator and the denominator of the objective function can be fatorized into two linear functions. The me…
This nal project discusses the solution of triangular fuzzy number linear programming. The method for solving triangular fuzzy number linear programming is called Mehar's method. Mehar's method is done by conversion the objective function and the fuzzy constraint functions based on the fuzzy linear programming problem to crips number based on operation of fuzzy number linear programming a…
This final project discusses new estimators for population variance using two auxilary informations. This estimator ratio is completed by simple random sampling without replacement method. The result of this method is to get efficiency of estimators. Then to determine an efficient estimator is done by comparing the MSE (Mean Square Error) for estimator ˆ S2 rpG1 dan ˆ S2 rpG2 and varia…
This nal project discusses how to solve the problem of traveling salesman in fuzzy triangles using dynamic programming. The process to obtain the solution begins by converting the fuzzy triangle numbers into crisp numbers using the Yager's ranking method and then the optimal solution is determined using dynamic programming. This nal project is a review of the article Mythili et al. [Inte…
This final project discusses the stability between predator and prey in the modified Lotka-Volterra. This model uses a modified rational Lotka-Volterra model with one predator and one prey. In this model, there are two nonnegative equilibrium points and stability positive equilibrium in the parameters. Furtheremore, a simulation is given for each case that describes the behavior and stabil…
This nal project discusses the stability analysis of predator-prey models with ratio-dependent functional responses and harvesting in predator populations. The stability of the system around the equilibrium point is determined by the linearization method in order to obtain the characteristic equation and the eigenvalue which is a reference for determining the stability properties. The mod…
This final project discusses the generalized composite Bernstein quadrature formula derived by approximating the function that are integrated using Bernstein polynomial to calculate the integral of a function. The process of deriving the method starts by defining the Bernstein operator and its error, then proceed by applying it to estimate the integral function so that the generalized comp…
This article discusses the generalization of the Euler formula having an expansion resembling a Fourier series. This formula can be applied in calculating the value of an in_nite series of real numbers. In addition, the given identity of the generalization formula Euler that can be applied to the sum of in_nite series algebra, and the process of integrating the Brownian motion and Brownian …
This final project discusses the iterative method without involving derivatives derived using a progressive interpolation to solve a nonlinear equation. Analytically it is shown that the discussed method is of order 3 ・ 2m−3, where m is the number of function evaluations. From computational test on some functions by setting the number of function evaluations fixed it can be seen that this m…