The research background is the importance of mathematics learning devices as a form of learning planning prepared by the teacher in order to achieve learning objectives, but the mathematics learning devices used by the teacher still have a mismatch with demands of the 2013’s curriculum. This research is aimed to produce a learning devices using the discovery learning model that is categorized…
This research is a class action research which aimed to improve learning process and increase student’s the mathematics learning outcomes at class VII.8 SMP Negeri 25 Pekanbaru by implying Problem Based Learnin model (PBL). The subjects of this research were VII.8 grade student’s of SMP Negeri 21 Pekanbaru in the academic year 2019/2020 wihich total number of participants were 39 studen…
This class action research aims to improve learning process and increase the mathematics learning outcomes by implying Problem Based Learning model. Subjects of this research were the students of grade VII2 SMP Negeri 42 Pekanbaru in the academic year 2019/2020 total number of participant are 38, consisting of 18 boys and 20 girls with heterogeneous academic achievement. This research has two c…
This class action research aims to improve learning process and increased the mathematics learning outcomes by implying Problem Based Learning model. Subjects of this research were the students of grade VII.5 SMP Negeri 4 Pekanbaru in the academic year 2019/2020 total number of participant are 39 with heterogeneous academic achievement. This research have two cycles, each have four stages: plan…
This final project discusses Napoleon’s outer and Napoleon’s inner in general on triangle. Each vertex is connected from a triangle which is built based on the sides of the original triangle, so that a new triangle is formed, namely Napoleon’s outer and Napoleon’s inner with certain conditions. The proof is done using the concept of similarity. This final project is a modification o…
This nal project discusses how to nd the eigenvalues and eigenvectors of matrix trapezoidal fuzzy numbers. Trapezoidal fuzzy numbers are expressed as negative-positive denition. The goal is to determine the algebraic operations that are constructed on the result of multiplying the trapezoidal fuzzy numbers, and are used to determine the eigenvalues and eigenvectors of trapezoidal fuzzy …
This nal project discusses the solution to a systems linear equations in complex fuzzy numbers. In solving complex fuzzy number, arithmetic is used in numbers fuzzy and arithmetic is also usesd in complex fuzzy number. This system of equation is converted into 2n 2n matrix form. Then the solution of the equation are obtained using Gauss-Jordan elimination. Keywords: Fuzzy numbers, compl…
This final project discusses the stability of the predator-prey model using the Holling-II and threshold harvesting functions against predator. Three of five equilibrium points obtained are stable as seen from the eigenvalues of the system linearity matrix. At the end of the discussion, the model behavior for the two equilibrium points generated with threshold harvesting shows that the solu…
This final project discusses how to apply sensitivity analysis to the triangular fuzzy number linear programming. Sensitivity analysis is used to determine the changes in the triangular fuzzy number on the coefficient of the objective function, the changes in the value of the right side of the constraint function and the addition of new constraints so that the optimal solution can be mainta…
The ratio estimators studied here are ratio estimators for population mean of simple random sampling by using information of correlation coefficient, second quartile, quartile deviation and decile mean. Each estimator is biased estimator. Furthermore, to obtain an efficient estimator is carried out comparing the MSE of each estimator with the simple ratio estimator used by Cochran. Then it …
This final project discusses a decreasing sequence (an) of nonnegative terms, the- re exist subsequences (nk) of (n) such thatP1k=1(nk+1−nk)ank andP1n=1 an ha- ve the same convergence. Then for P1n=1 an converges if and only if P1k=1 qkaqk converges for 1 < q ∈ N. Using these results, an extension of the ratio test is formed. Keywords: Sequence, series, convergency, divergency
This final project discusses the sensitivity analysis of transportation problems in triangular fuzzy numbers. The optimal solution of the transportation problem is obtained after converting the triangular fuzzy number in the transportation problem into a crisp number. When the optimal solution obtained remains the same for a long time, a sensitivity analysis is carried out to determine chan…
This nal project discusses the determinant of interval matrix with the calculation used is a combination of some interval arithmetic which has a shorter interval value than others. Assuming that a shorter interval value is an optimal value. The method used in determining the determinant of interval matrix is the modied Crout's method in the article of Nirmala and Ganesan [Journal of Phys…
This nal project discusses the modication of the fourth order multistep Adam- Bashforth and Adam-Moulton method by changing the integral boundaries of [xn; xn+1] to [xn−2; xn+1] to solve initial value problems. In generally, the com- parison results show that the numerical solution obtained with the modication of the fourth order multistep Adam-Bashforth and Adam-Moulton method has an…
This research is a development purposed is to produce mathematics learning devices such as syllabus, lesson plans, and student worksheet by using discovery learning on curved face three dimensional (cylinder, cone, and ball) material for the 9th grade of junior high school. This research is motivated by the incompatibility instruments which arranged by teacher based on 2013 Curriculum. The…
This final project discusses the premium of contingent endowment life insurance using Gompertz’s law. In this project, the number of insurance participants is limited to two people aged x and y years. The premium of contingent endowment life insurance are divided into two parts, namely the premium of contingent endowment joint life and last survivor status life insurance. In contingent e…
The background of this research is the existence of curriculum change that claiming teacher to can develop the learning devices and also still the limited learning devices that matching with 2013 curriculum.This research aims to produce products in the form of mathematics learning devices such as syllabus, lesson plan and student worksheet.The development model in this research is 4-D mode whic…
This research is motivated by the lack of mathematics teaching materials that introduce Malay Culture, namely traditional Malay games for students in accordance with the demands of the 2013 curriculum. The purpose of this research is to produce mathematics teaching materials in the form of books using the tradisional Malay Riau games. This research is a research and development (R&D) using the …
This research is motivated by the limited mathematics learning devices that are in accordance with the 2013 Curriculum. This research purposed is to produce mathematics learning devices such as syllabus, lesson plans, and student worksheets by using problem based learning on sets material for the seventh grade of junior high school. The development model used in this research is the 4-D model w…
This study is aimed to produce mathematic learning tools consisting of a Syllabus, Lesson Plan (LP), and Students' Worksheet (SW) in the material Linear Equation System of Three Variables in class X which applies valid and practical Problem Based Learning models. This developmental model used is the 4-D model which consists of 4 stages of development, namely define stage (definition), design st…