ABSTRACT This thesis discusses several developments of mixtilinear incircle on the diagonal of a cyclic quadrilateral. The development carried out is to show the various relationships that are formed between the radii mixtilinear incircle which can be constructed on the diagonal of the cyclic quadrilateral. At any △ABC one can construct three different mixtilinear incircle respectively. …
ABSTRACT This final project discusses the modification of Halley method based on Steffensen method by estimating first and second derivative using central difference. The method is called Halley Steffensen-Type method (MHS), which is the method is free from derivative. The convergence analysis shows that the MHS is of four order method. Numerical comparison between MHS and several of the …
ABSTRACT This final project discusses a modification of Laplace variational iteration method to solve a fourth-order parabolic partial differential equations with variable coefficient. Modification is made by coupling of three methods. The application process begins by converting the equation to be solved by forming a correction functions, Laplace transform, and transform correction functi…
ABSTRACT This final project discusses the premium of whole life insurance unit link by using point to point method as an indexing method to calculate the value of the investment based on the value of the benefits. To solving the problem is obtained by determining the volatility of the stock price and the value of the benefits by the investment return, then the premium formula is obtained b…
This final project discusses the Canadian reserves of semicontinuous endowment life insurance using Rayleigh distribution. The Canadian reserves are calculated by an expanded modification premium for the whole period of premium payment. The Canadian reserves calculation is solved by determination of the value of annuity, single premium and annual premiums using Rayleigh distribution. Keywords:…
This research aims to produce computer-based learning media with valid and practical data presentation materials for use by first grade junior high school students to facilitate mathematical problem solving skills. The development model used is the Borg and Gall development model modified by Sugiyono. Make a needs analysis from the results of observations and interviews with mathematics teacher…
ABSTRACT This final project discusses the solution of multi-objective linear programming of trapezoidal fuzzy numbers using the weighting method. The coefficient of the amount material production and the coefficient of the amount material available are in the form of fuzzy numbers because of uncertainty. The solution of this problem is to convert the trapezoidal fuzzy numbers on the coeffi…
The purpose of this research is to develop learning devices such as syllabuses, lesson plans, and worksheets based on experiential learning circle topics to facilitate the ability of eighth-grade SMP/MTs to see valid and practical mathematical connections. This study employs the ADDIE development model's analysis, design, development, implementation, and evaluation phases. The investigatio…
ABSTRACT This final project discusses the divisibility test for Gaussian integers a+bi and Eisenstein integers a+bρ with a and b integers. That is solved by the properties of division, conjugate and norm of Gaussian integers and Eisenstein integers. The properties used aim to obtain the quotient which is a Gaussian integer and an Eisenstein integer. This final project is an extension an a…
ABSTRACT This nal project presents a new sequence called the Trilucas sequence. The discovery of the Trilucas sequence is based on using the same recursive formula as the Tribonacci sequence with the rst 3 terms of the Trilucas sequence taken from the rst 3 terms of the Lucas sequence. Based on Trilucas sequence, the Binet formula is found, the properties that are proven using the stron…
ABSTRACT This final project discusses the properties of BV -algebras, the relationship between BV -algebras with B-algebras, BF-algebras, and Coxeter-algebras, the relationship are proven through the properties possessed by BV -algebras with B-algebras, BF-algebras, BM-algebras, and Coxeter algebras are interrelated. Then, by using ideal properties of other algebras, the ideal properties o…
Dalam kegiatan belajar mengajar seorang guru dituntut untuk dapat memperhatikan materi pelajaran yang memenuhi syarat yang tepat untuk menyampaikannya. Pemberian tugas merupakan salah satu dari kegiatan mengajar yang dapat digunakan. Pada dasarnya seorang siswa dalam kegiatan proses belajar mengajar ini tidak pernah lepas dari cobaan dan tantangan di dalam proses kegiatan belajar. Melalui tanta…
This research is motivated by the low ability of students to solve mathematical problems, especially in the matter of two-variable linear equation systems. The reason is that students are not used to solving problems using problem solving skills. Efforts that can be made to improve mathematical problem solving skills are to design learning activities to make students accustomed to solving given…
This research is motivated by the low mathematical communication skills of students in solving contextual problems related to linear programming material. This is because the learning methods and learning tools used have not been able to facilitate students in developing mathematical communication skills. Based on the results of observations and analysis of the learning tools used by teach…
Penelitian ini dilatarbelakangi oleh belum optimalnya penggunaan teknologi dalam bidang pendidikan untuk meningkatkan kualitas pembelajaran di sekolah dan penggunaan Lembar Kerja Peserta Didik (LKPD) yang kurang memadai dalam meningkatkan hasil pembelajaran. Dibutuhkan bahan ajar berupa E-LKPD agar dapat meningkatkan hasil pembelajaran dan mengoptimalkan penggunaan teknologi. Salah satu mo…
This research produced an E-LKPD (Electronic Student Worksheets) based on the Problem Based Learning (PBL) model for Social Arithmetic in Grade VII of junior high school/MTs, which is both valid and practical. The E-LKPD was developed with the assistance of the Live Worksheet application to improve the quality of learning in schools. One learning model that can enhance students' learning m…
This research is motivated by the importance of students' numeracy skills as a provision in facing challenges in the 21st century. This is not in line with the results of the Minimum Competency Assessment (AKM) test which results show that students' numeracy abilities nationally are still below the minimum competency. This is caused by the low preparation of students in taking AKM, the lac…
This research is a development research (R&D) that produces a product in the form of a Problem-Based Learning-based learning tool that meets valid and practical requirements to facilitate students' mathematical critical thinking skills in class VIII SMP/MTs on Opportunity material. The development model used is the 4D model, which consists of four stages, namely (1) Define, (2) Design, (3) …
This research is based on the teaching materials used that do not contain learning activities that involve students directly in discovering and applying mathematical concepts. Learning mathematics in schools is still minimal which uses culture as a learning context. Mathematics learning is only focused on what is in mathematics textbooks. The cultural environment that has educational value is n…
ABSTRACT This nal project discusses premium sufficiency reserve of endowment life insurance for single insurance participant who are x years old using Lomax distribution. The parameters in the Lomax distribution were estimated using maximum likelihood estimation and then determined by a Newton-Raphson itetion method. The calculation of premium sufficiency reserve is obtained by the gross …