This final project discusses the Sylvester matrix of order (n + 1) (n + 1), the Sylvester matrix is a tridiagonal matrix that has main diagonal entries are real numbers, the upper subdiagonal entries are 1, 2, . . . , n while the subdiagonal entries the bottom is inversely proportional to the upper subdiagonal entry. Then calculate the spectrum and determinant of the Sylvester matrix by finding…
This final project discusses the solution of inventory problems using EOQ multi- item model and Monte Carlo simulation to determine problem solving techni- ques that can be used to managing inventory. EOQ multi-item model gives an optimal solution so that it can be saving the cost of inventory. Monte Car- lo simulation is an alternatives technique that are associated with uncertainty or prob…
This final project discusses the mathematical modeling of an allocation scheduling in the lecture building the Faculty of Mathematics and Natural Sciences, University of Riau, especially in the Department of Mathematics during the Even Semester 2019-2020 using binary integer programming. The problem is to optimize the classrooms used by meeting specified constraints, based on the availabil…
Penelitian ini berjudul “Pengembangan Instrumen Tes Higher Order Thinking Skill (HOTS) Konten Aritmetika Sosial. Penelitian ini dilatarbelakangi oleh pentingnya instrumen tes untuk mengembangkan kemampuan berpikir tingkat tinggi atau Higher Order Thinking Skill (HOTS) yang menjadi tantangan pada kehidupan abad 21 yang semakin kompleks. Peserta didik diharapkan memiliki kemampuan HOTS yang dap…
Segitiga asal dalam skripsi ini adalah sebarang AABC, dari segitiga tersebut dapat ditentukan excenter-excenter, kemudian dengan menghubungkan excenter-excenter tersebut dapat terbentuk segitiga excentral yang dinotasikan dengan , jika ditarik ketiga garis tinggi maka akan tepat di A, B dan C, sehingga sebarang AABC disebut juga segitiga orthoptic. Selanjutnya dari titik-titik sudut Aa deng…
ABSTRACT By using Problem Based Learning (PBL), this classroom action research seeks to improve the learning process and increase students' mathematical problem solving abilities (KPMM). In the even semester of the 2022/2023 academic year, this research was attended by 41 students with various skill levels from class VIII3 of SMP Negeri 17 Pekanbaru. This research was divided into two cycles, …
Abstract: This research is motivated by the objectives of mathematics learning which require students to have mathematical problem solving abilities, but the reality in the field shows that students abilities in solving mathematical problems are still not optimal and are relatively low. This research aims to improve the learning process and increase students' mathematical problem solving (KPM…
This final project discusses a two-step iterative method to solve a nonlinear equation. The method is obtained by substituting the quadratic formula into Taylor expansion, then the second derivative that appears in the formula is estimated using a cubic polynomial. Analytically it is showed, using the Taylor expansion, geometric series and binomial series that the iterative method has the …