This final project studies the global asymptotic stability of a Holling-Tanner predator-prey model using Holling type II. The global asymptotic stability is investigated using the Lyapunov method based on the equilibrium point that has been obtained. This final project is a review of articles of Lisena [Mathematical Methods in the Applied Sciences, 41 (2017), 1-12]. Keywords: Predator-prey…
This research is a class action research that aims to improve the learning process and mathematics learning outcomes through the implementation of the Problem Based Learning (PBL) model. The subjects of this research were VIII.7 grade students of SMP Negeri 5 Pekanbaru in the academic year 2019/2020, which total of participants are 38 students, consists of 20 male students and 18 female student…
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 practicality de…
Penelitian ini dilatarbelakangi oleh rendahnya kemampuan pemecahan masalah matematis (KPMM) siswa SMA Negeri 8 Pekanbaru. Tujuan penelitian ini adalah: (1) mendeskripsikan perbedaan KPMM siswa yang mengikuti pembelajaran melalui model Problem Based Learning (PBL) dengan siswa yang mengikuti pembelajaran biasa dengan pendekatan saintifik; (2) mengetahui peningkatan KPMM siswa yang mengikuti pemb…
The background of this research is the low ability of mathematical problem solving skill of students class X SMA Negeri 8 Pekanbaru. The purposes of this research are 1) to describe the difference of mathematical problem solving skill of students who study through PBL model with student who study through conventional learning with scientific approaching; 2) to examine the improvment of mathemat…
This final project discusses the epidemic model of chickenpox disease with vaccination (SVEIR) which has two equilibrium points, namely disease-free and endemic equilibrium points. Analysis of the global stability of the equilibrium points is carried out using the Lyapunov function which shows that the spread is determined by basic reproduction numbers. Then the simulation is performed usi…
Analysis of predator-prey acarine models in trophic level is discussed in this final project. The system of differential equation of the predator-prey acarine model is used in each population. The model consists of three observed equilibrium points. The stability of the system around the equilibrium point is determined by the linearization method in order to obtain the characteristic equati…
The background of this research is the difference between the expected achievement and the achieved by students of class XI MIA 1 MA Muhammadiyah Pekanbaru. The proposes of this research are to improve the learning process and to increase mathematics achievement from the students with applied discovery learning model. The form of this research is a class action research which is carried out in …
This research is a classroom action research (CAR) that aims to find out the improvement of mathematics learning outcomes through the application of Think Pair Square (TPS) Type Cooperative learning. The subjects of this study were Class VII-A students of SMP Negeri 1 Bangkinang Kota in the odd semester of the academic year 2019/2020, with a total of 30 students, consisting of 13 men and 17 wom…
The learning process is seen as one of the main factors that influence learning outcomes so that this research aims to improve learning process and students’ mathematics learning achievement by applying Discovery Learning model. This research is a classroom action research with two cycles. The research instruments used are mathematical learning instruments (Syllabus, Lesson Plans, and Activit…
This final project discusses Winter’s Smoothing model and ARMA(p, q) model with numerical computation. Both of these models are used to predict the availability of rice stock at BULOG Pekanbaru in 2015 by considering the seasonal factor from time series span data. Then a comparison is carried out for both forecasting models to select the right forecasting model with minimum Mean Square E…
This nal project discusses the stability analysis in Lotka-Volterra model of the three species consisting of two predators and one prey introduced by Hadziabdic et al. [Technology Education Management Journal, 6 (2017), 132-136]. The analysis was conducted on the stability of the equilibrium point based on eigen- values. This model has three equilibrium points of which one is unstable, a…
This final project discusses the use of shifted Jacobi polynomials to solve Abels integral equations of the second type. The process begins by approaching the integral that appears with the shifted Jacobi polynomials. Then a system of linear equations is formed, which their solutions are constants to be used as the coefficients to form a linear combination of the shifted Jacobi polynomials …
This thesis discusses alternative definitions of triangular fuzzy numbers to be positive and negative based on the area comparison, and given alternative arithmetic for triangular fuzzy numbers. Next, these definitions are applied to solve the fully fuzzy linear system using the decomposition method. Keywords: Triangular fuzzy numbers, alternative arithmetic, fully fuzzy linear system, decom…
This research is classroom action resesarch that aim to improve the mathematics learning outcomes with applied the learning cooperative model of Numbereds Heads Together (NHT)type. The research consist of two cycles, each cycles has four stages, which are planning, implementation, observation, and reflection. The subject of this research is students of class VIIA SMP Negeri 35 Pekanbaru in acad…
The background of this research is the low ability of mathematics learning achievement of students SMA Negeri 8 Pekanbaru. The purposes of this research are 1) to find the siginificance of mathematics learning achievement of students who study through Problem Based Learning (PBL) model with student who study through conventional learning with scientific approaching; 2) to examine the improvemen…
This study aims to improve the learning process and the student’s mathematical problem solving skill by applying Problem Based Learning model. This type of research is classroom action research with two cycles. This research was conducted in collaboration between researcher and teacher of mathematics. Subjects were students of class X MIA MA Muhammadiyah Pekanbaru. The study was conducted in …
The type of this research was a classroom action research that aims to improve the learning process and student mathematics learning results through the application of cooperative learning models with the type of think pair squre. The study was conducted at grade VII1 in SMP Negeri 3 Pekanbaru in the first semester of the 2019/2020 school year. The research subjects were 40 students consisting …
This study aims to describe the application of the scientific approach in the 2013 curriculum in class II SDN 79 Pekanbaru. This research is a descriptive qualitative research. The subjects in this study were class teachers and all students of class II SDN 79 Pekanbaru. Data collection techniques used in this study include: observation, interviews and documentation. The results showed that teac…
The background of this research is the low outcomes study of mathematical of students class XI MAN 3 Pekanbaru. The purposes of this research are (1) to describe the difference of mathematical outcomes study of students who study through discovery learning (DL) model with student who study through conventional learning with scientific approaching; (2) to describe the improvment of mathematical…