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…
The research was based on the limited innovative mathematics learning device as a means of supporting learning in the 2013 Curriculum. The purpose of this research is to produce mathematics learning device in the form of syllabus, Lesson Plan (LP), and Student Activity Sheet (SAS) based on cooperative learning models type think pair square material of the sine and cosine rules of class X SMK/MA…
This research was conducted due the limited learning instruments in accordance with the 2013 Curriculum, especially the application of learning models and learning approaches. The purpose of this research is to develop the mathematics learning instruments: syllabus, lesson plans, and student worksheets using Problem Based Learning model with Melayu cultural context on circle’s topic for 8th g…
This research aims to produce the mathematics learning instruments which includes syllabus, learning implementation plans (RPP) and student activity sheets (LAS) model discovery learning on the material of quadrilateral and triangles to facilitate the mathematical representation students abilities of SMP/MTs that are valid and qualified of the practicality. The development research model used i…
This research aims to produce mathematics learning instrument which includes syllabus, learning implementation plans (RPP) and student activity sheets (LAS) based on the Discovery Learning on the sine and cosine rules topic of students of Vocational high school that are valid and practical. This research development model is a 4-D model which consists of the stages of define, design, developmen…
Most students have difficulty for learning mathematics because of mathematical abstract objects. Teachers can link everyday life with math material to make it easier for students to learn mathematics. One of the learning concepts that can connect learning material with everyday life is Contextual Teaching and Learning approach. Mathematical communication skills are needed to make it easier for …
Learning activities should be considered needs of students and the demands of the curriculum. The mathematics learning objectives and the demands of the current curriculum is to developing student’s higher order thinking skills. In fact the higher order thinking skills of junior high school students are categorized sufficient and still need to be improved. Efforts to improve the quality of st…
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 linear system with two variables material for the eighth grade of junior high school. The development model used in this …
This final project discusses the application of the Varignon’s theorem to the parallelo-hexagon by connecting the midpoints of the two sides which are close to the midpoint of the two sides in front of them so that they form a rectangle in the parallelo-hexagon. Proof is described in three alternatives, using the concept of congruence, geometrical transformation, and using parallelo-hexag…
This final project discusses the reciprocal addition formula of multiplying the m-th and n-th of Fibonacci numbers, where m and n are respectively even and odd integers, using the floor function. The reciprocal addition formula obtained is proven by using the Fibonacci number identities, the properties of the Fibonacci numbers, and algebraic calculations. This final project is a review of …
This nal project discusses the determinant of interval matrices by using arithmetic operations on interval numbers. Next, an analysis of the interval arithmetic is provided, assuming the shortest interval is the best. At the end, using the results of interval arithmetic analysis, the calculation of the determinant of interval matrix is given along with some of its properties. Keywords: In…
This nal project discusses the sequence and series which are constructed from Fibonacci numbers. The sequence and series in question are generated from the length of one of the sides of the triangle and the cross product of two vectors in the dimension space R3 having a numerical element of a Fibonacci number. Furthermore, after the sequence and series have been constructed, it is shown t…
This final discusses the method of sensitivity analysis with changes in objective functions and right hand side of a linear program. The sensitivity analysis method is used to determine the limit of change in the objective function and the right hand side in order to maintain the optimal solution. The results of the linear program on the sensitivity analysis method can be seen in the large …
This final project discusses the premium of healthy insurance of the Rayleigh distribution with m times of payment. Health insurance reserve calculation is solved by determination of the annuity, single premium and annual premium based on the distribution of Rayleigh in advance. By using the cash value of the annuity and premium of health insurance can be determined the calculation of heal…
This final project discusses the iterative method based on minimization techni- ques to solve the system of the absolute value equations. The analysis begins by discussing how to obtain a solution by applying this method. The convergence of the methods discussed shown by looking at the value of the difference of the function values at two consecutive iterations, which is equal to the error …
This article discusses the new SOR-like iterative method for solving the system of absolute value equations introduced by Ke and Ma [Applied Mathematics Letter, 311 (2017) 195-202]. Before proving convergence, the method was driven technically by mimicking the SOR iterative method. The convergence of the discussed method is proved by showing that the norm of error decreases with increasing…