This final project discusses of the Leslie matrix to estimate the population growth rate of women in Riau Province. This research uses a quantitative method with secondary data obtained from the Riau Province Central Bureau of Statistics for the years 2015–2020, consisting of data on the female population and birth rates. The Leslie matrix is constructed based on age structure, fertility …
This final project discusses a family of iteration methods using weight functions to solve nonlinear equations. Certain weight functions are chosen to obtain some existing methods and a new iteration methods as a special case. Analytically, this family of iteration methods has a convergent order of five with an efficiency index of 1.495. Computational tests show that the new methods in this fam…
Penelitian ini dilatarbelakangi dengan pentingnya kemampuan komunikasi matematis dimiliki oleh peserta didik karena; (a) matematika adalah bahasa esensial yang tidak hanya sebagai alat berpikir, menemukan rumus menyelesaikan masalah, atau menyimpulkan saja, namun matematika juga memiliki nilai yang tak terbatas untuk menyatakan beragam idea secara jelas, teliti dan tepat; (b) matematika dan bel…
Penelitian ini dilatarbelakangi oleh hasil belajar peserta didik kelas X.4 SMA Negeri 7 Pekanbaru yang belum memenuhi Kriteria Ketercapaian Tujuan Pembelajaran (KKTP) yang telah ditetapkan yaitu 78. Hasil tes awal yang dilakukan oleh peneliti kepada peserta didik sebelum diberikan tindakan, dari 36 peserta didik yang mengikuti tes hanya 11 orang atau 30% yang nilainya mencapai KKTP yang telah d…
The problem in this research is that students' level of mathematical problem solving ability (KPMM) is low, while it is important for students to master KPMM in learning mathematics. Therefore, the aim of carrying out this research is to produce learning tools on two-variable linear equation systems material to facilitate KPMM for class VIII SMP/MTs students. The research trial involved subject…
Penelitian ini dilatarbelakangi oleh rendahnya kemampuan koneksi matematis di Indonesia dan masih terbatasnya modul ajar berbasis kurikulum merdeka oleh guru sebagai sarana penunjang pembelajaran yang dapat memfasilitasi kemampuan koneksi matematis. Kemampuan koneksi matematis penting dimiliki peserta didik karena pembelajaran yang dilakukan tidak hanya bersifat hafalan dan paham dengan konsep …
Penelitian ini dilatarbelakangi oleh rendahnya hasil tes awal kemampuan pemecahan masalah matematis peserta didik kelas X.9 MAN 2 Pekanbaru pada materi eksponen dan logaritma. Pada indikator pertama yaitu memahami masalah hanya 22,8% peserta didik yang mendapat skor maksimal. Pada indikator merencanakan pemecahan tidak ada peserta didik yang mendapat skor maksimal. Pada indikator ketiga yaitu m…
This research is motivated by the low mathematics learning outcomes of class VII6 students of SMP Negeri 1 Ujungbatu in the 2024/2025 academic year. The purpose of this study is to improve learning and improve mathematics learning outcomes by implementing the Problem Based Learning learning model. This research was conducted in two cycles and the subjects of the research were class VII6 st…
This final project discusses a new modified Newton’s method for solving nonli- near equations and free from second derivative. The convergence analysis using Taylor expansion and geometric series show that the proposed methods has a fourth order convergence with efficiency index is 1.587. Numerical computa- tional results of some examples with several different methods show …
This final project discusses various mixtilinear incircles and excircles related to the symmedian line of an arbitrary triangle. The symmedian is defined as the reflection of the median with respect to the angle bisector of a triangle, resulting in a proportional division of the triangle’s sides. The mixtilinear incircle is internally tangent to the sides of the triangle and the circumcircle,…
This final project discusses a development development of the mixtilinear ex- circle in the trisector of a triangle’s angle. A mixtilinear excircle is a circle that is tangent to the extensions of two sides of a triangle and is externally tangent to the circumcircle of the triangle. By constructing the angle trisectors of an arbitrary triangle, many mixtilinear excircles can be formed. The ma…
This final project discusses triangular fuzzy number linear programming using the simplex method and sensitivity analysis based on triangular fuzzy number operations. The objectives to be achieved are to calculate the number of produ- cts produced with fuzzy data and to be able to estimate the availability of raw materials in order to obtain maximum profit. The objective function coefficient, c…
This study aims to develop a teaching module based on Problem Based Learning (PBL) on the content of opportunities to facilitate the mathematical problem solving ability (KPMM) of phase E students. The research uses a development method with the 4D model which includes four stages: Define, Design, Develop, and Disseminate. The research was conducted at SMAN 12 Pekanbaru class 11 with a total o…
This study developed a mathematics teaching module based on the Discovery Learning model to improve students' mathematical problem-solving ability in the topic of matrices. The low level of students' mathematical problemsolving ability, particularly in the topic of matrices, served as the background for this research. The study refers to the ADDIE development model. The research instrument…
This project discusses the reserve full preliminary term endowment life insurance combined with joint life status. The reserve full preliminary term is a premium reserve calculation using the modified retrospektive reserve. The annual premium is affected by a single premium and annuities-due. The calculation reserve in this paper is based on Balducci’s assumption. Keywords: Retrospektive…
This final project discusses the fifth-order predictor-corrector method by mo- difying the integral limits from [tn, tn+1] to [tn−3, tn+1] for the Adam-Bashforth method and [tn−2, tn+1] for the Adam-Moulton method. This method combines the explicit Adam-Bashforth method as the predictor and the implicit Adam- Moulton method as the corrector. The results show that the numerical solution app…
The Lotka-Volterra model describes predator-prey interactions, which is then modified using the Holling type-III functional response by incorporating the phenomena of fear effect and prey refuge. In the studied model, three equili- brium points are obtained: the extinction equilibrium, which is a saddle point; the predator-free equilibrium, which can be either a saddle or a locally asymp- totic…
Penelitian ini dilatarbelakangi oleh pentingnya kemampuan komunikasi matematis peserta didik yang merupakan salah satu tujuan pembelajaran dalam kurikulum merdeka, namun faktanya KKM peserta didik masih rendah yang ditunjukkan oleh beberapa penelitian terdahulu dan proses pembelajaran belum efektif. Proses pembelajaran masih berpusat pada guru akibatnya pembelajaran belum maksimal dalam aktivit…
Latar belakang dalam penelitian ini adalah rendahnya tingkat kemampuan komunikasi matematis peserta didik. Penelitian ini bertujuan untuk menghasilkan instrumen asesmen tipe AKM untuk mengukur kemampuan komunikasi matematis peserta didik fase D pada materi PLSV dan PtLSV yang valid, reliabel, serta memiliki tingkat kesukaran dan daya pembeda yang baik. Instrumen asesmen adalah alat yang digun…
This _nal project discusses the dynamic behavior of the Lotka-Volterra predator- prey model inuenced by nonselective harvesting, fear e_ect, and partial closure for populations. Furthermore, it analyzes the equilibrium points and stability, _nding that the model has three globally asymptotically stable equilibrium points. Model simulation is carried out by illustrating the dynamics and stabilit…