ABSTRACT This final project discusses the premium reserve of joint life status endowment life insurance based on Zillmer’s method for two insurance participants. The calculation of this reserve is obtained by using the prospective reserve principle and the size of Zillmer’s rate. The premium reserve is obtained by determining the single premium, annual premium, and life annuity based o…
ABSTRACT This nal project proposes a new single step iterative method for solving no- nlinear equations. This iterative method is derived using the approximation formula of truncated Thiele's continued fraction. Analysis of convergence sho- ws that the order of convergence of the proposed iterative method for a simple root is four. To illustrate the advantages and performance of the propo…
ABSTRACT The nal project discusses some congruences on harmonic numbers and Berno- ulli nmubers. The study is completed using several harmonic identities, congru- ence modulo properties and algebraic calculations. Futhermore it can be proven that the congruence of the multiplication of the binomial sums and harmonic numbers with Bernoulli numbers. This is a review of article of He [Period…
The mathematical problem-solving ability of students was still relatively low, one of them caused by the application of models and the development of learning tools that are still not at all. This study aims to develop learning tools based on problem-based learning to facilitate the mathematical problem-solving ability for 10th-grade senior high school on equations and inequalities of one varia…
The results of the document review that the researcher conducted on the learning tools used by teachers in several Grade school in Pekanbaru City, obtained information that the learning tools used by teachers did not meet the rules contained in the 2013 Curriculum so they still needed to be improved. This study aims to produce learning tools based on Problem Based Learning on Plans and Scales m…
This research is motivated by the low ability of mathematical understanding of learners. In the Mathematics Curriculum Of Secondary School states that the important thing in learning mathematics is the importance of the development of mathematical comprehension skills of learners. Related to the analysis of the mathematical understanding ability of learners can be seen from the results of …
This research is motivated by the demands of the 2013 curriculum on teachers. Teachers are required not only to teach and educate, but must be able to become facilitators so that the role of education becomes more meaningful. Teachers must be able to design interactive, inspiring, fun, challenging and motivating learning processes for students to actively participate in the learning proces…
This research is motivated by the low mathematical connection ability of students. Students have difficulty in using the relationship between mathematical concepts and with the other aspects such as mathematics with other fields of study and mathematics with daily life. Based on the results of the 2019 National Examination (UN 2019), have got information that students of SMPN 1 Kandis in s…
This research is a classroom action research that aims to improve learning process and improve student learning outcomes through the application of the Problem Based Learning (PBL) model. This research was conducted at VIII1 in SMP Negeri 3 Pekanbaru in the odd semester of the 2019/2020 school year with the subject matter of the two-variable linear equation system (SPLDV). The subjects were 39 …
This research is motivated by the existence of a gap between the expected learning outcomes and the learning outcomes achieved by class XI IPS 1 SMA Negeri 3 Tebing Tinggi. The purpose of this study is to improve the learning process and mathematics learning outcomes by applying the Problem Based Learning model. The form of this research is classroom action research which consists of two cycles…
This thesis discusses the evaluation of the suitability of the Nakagami distribution model for climate change data of Pekanbaru city. The data are is daily temperature data of Pekanbaru city which is divided into three decades, namely the first decade 1990-1999, the second decade 2000-2009, and the third decade 2010-2020. The purpose of this research is to obtain a model of the distribution…
This thesis discusses the model of survival times for diabetic patients at the Mandau Regional General Hospital (RSUD). Survival times for diabetic patient data are analyzed by using survival analysis. The purpose of this research is to obtain probability model, survival model, and hazard model for diabetic patient data in RSUD Mandau by using Rayleigh-Lomax distribution and to compare wit…
This research is motivated by learning that is not in accordance with the 2013 curriculum. This occurs due to a lack of planning in the learning process, so that students do not find their own mathematical concepts to be studied. Therefore, we need a form of planning in the learning process so that learning is in accordance with the 2013 Curriculum. The purpose of this research is to produce ma…
This research is motivated by the limited learning tools that are in accordance with the 2013 Curriculum, especially the application of learning models and approaches. This study aims to produce mathematical learning tools for thetype of cooperative learning model Think Pair Share on the material of the Two Variable Linear Equation System for class VIII SMP/MTs students in the form of syll…
This research is motivated by the limited mathematics learning devices as supporting learning on 2013 Curriculum. This research purposed is to produce mathematics learning devices such as syllabus, lesson plans, and student worksheets based on Problem Based Learning model on Algebraic Form for the seventh grade of junior high school. The development model used in this research is the 4-D model …
This research was conducted due to limited mathematics learning devices that corresponds to The 2013 Curriculum. This research aims to produce learning devices by Problem Based Learning (PBL) model on Linear Program material of class XI. The development model used is 4-D that consist of define, design, develop, and disseminate. The research instrument used is validity device and practicali…
This research to produce a product in the form mathematical learning devices using discovery learning model on polyhedron material of class VIII SMP/MTs. The development model used is the 4-D model namely define, design, develop, and disseminate. The research instrument used is validity instrument and practicality. The instrument is a validation assessment sheet to assess the validity of l…
This research was a development research with the aim of producing a learning device accordance with the 2013 curriculum. The learning devices of this research were syllabus, lesson plan (RPP), and student’s activity sheet (LAS). The development model that used in this study was the ADDIE model, namely analysis, design, development, implementation, and evaluation. The data were collected…
The purpose of this study was to develop learning tools in the form syllabus, lesson plans and LKPD using problem based learning model based an ethnomathematics to facilitate students’ mathematical problem solving skills in valid and practical side space building materials. This type of research is development research using a 4D development model consisting of define, design, develop, and di…
This development research aims to produce an assessment instrument in the form of High Order Thinking Skills (HOTS) questions in the context of Riau Malay culture in the form of descriptions on the material of quadrilaterals and triangles for 7th grades that are valid and reliable and have a good level of difficulty and distinguishing power. This research uses a development studies model with t…