This final project discusses the solution of fractional linear programming pro- blem using the cutting-plane method, a problem whose result is the optimal integer solution. The solution to this problem firstly uses the Hasan-Acharjee method to simplify the linear fractional programming which is later converted into a linear programming. Then, the optimal solution is found by using simplex metho…
Abstract: This study is motivated by the importance of teaching modules in accordance with the ability of learners who have difficulty in learning mathematics. The target of the research is to create a teaching module model of problem based learning on the topic of data presentation. Development follows the flow in the 4D model, namely “defiine, design, develop, disseminate”. The Data obtai…
Abstract : This study aims to enhance the learning process and improve students' Mathematical Reasoning Skills (MRS) through the implementation of the Problem-Based Learning (PBL) model. The initial MRS test results for Class X-3 at SMAN 6 Pekanbaru were relatively low, with an average score of 46.07%. This was attributed to students' unfamiliarity with reasoning-based questions, insufficient u…
This final project discusses the dynamics of a fractional-order predator-prey system that incorporates three effects on the prey population: the Allee effect, fear effect, and shelter effect. The model under study has several equilibrium points, and their stability is analyzed based on various initial conditions and system parameters. Simulations are conducted to explore how these parame- ters …
This final project discusses the cubic root of square matrix of order 3 which aims to find an explicit form to determine the cubic root of square matrix of order 3, by applying the Cayley-Hamilton Theorem to the characteristic polynomial of square matrix of order 3. The explicit form is successfully obtained for matrices with trace not 0. However, for matrices with trace 0, a general formula th…
This final project discusses the average lower 2-domination number of Jahangir graphs J2,m and J3,m. The determination of the average lower 2-domination number is done by analyzing the characteristics of the 2-domination set of these Jahangir graphs with values m = 2, 3, 4, 5 and 6. The results show the formula for the average lower 2-domination number for Jahangir graphs J2,m and J…
Final project discusses the concept of quasi-ideals in more general structures, namely seminear-rings and ternary seminear-rings. In determining quasi-ideals in seminear-rings and ternary seminear-rings, de_nitions and theorems related to the structure of seminear-rings and ternary seminear-rings and their res- pective ideal concepts are provided, as well as subseminear-rings and ternary subsem…
This final project discusses two-step iteration methods for solving nonlinear equ- ations. ALG1 method is derived by utilizing the Householder method, Taylor expansion, and Newton method as predictors. ALG2 method is a modification of ALG1 using interpolation techniques. Convergence analysis using Taylor expansion and geometric series shows that both methods have a convergence order of six with…
This final project aims to improve production efficiency in a home-based ba- kery business located in Pekanbaru, by determining the optimal production quantities to maximize profit. The optimization technique applied is integer programming with the branch-and-bound approach, which calculates decision variable values using POM QM V5 software. The research is based on completed order data, includ…
This final project discusses the role of the fear effect in a predator-prey mo- del with intraspecific competition within the predator population. Through an analysis of the equilibrium points and stability of the model, it is found that there are four equilibrium points: one conditionally stable and the other three are saddle points. The analysis results indicate that the fear effect significa…
SMA Negeri 7 Pekanbaru merupakan salah satu sekolah yang sudah menerapkan pembelajaran berbasis Blended Learning seperti penggunaan smartphone dan internet dalam pembelajaran kimia. Salah satu yang mempengaruhi pelaksanaan pembelajaran adalah kesiapan peserta didik. Pembelajaran Blended Learning dapat diterapkan jika peserta didik yang bersangkutan sudah memiliki kesiapan dalam penerapannya. Ke…
Mathematical comprehension ability (KPM) plays an important role in learning mathematics, but in reality students have a low level of KPM. The study goal to create a teaching module that achieves valid and practical qualifications on the topic of SPLV integrated with the problem-based learning model in order to facilitate the KPM grade VIII SM/MTs. This development research is based on the 4D m…
Mathematical Reasoning Ability (KPM) is an important ability for students to be able to think logically and draw conclusions related to mathematics. This research aims to develop KPM test questions on exponential functions and quadratic functions. This type of research is Research and Development research with a development studies approach which includes preliminary and formative evaluation st…
Kemampuan berpikir kreatif matematis adalah kemampuan dimana peserta didik mampu menghasilkan ide yang baru atau mengembangkan suatu ide yang sudah ada sebelumnya. Kemampuan berkpikir kreatif matematis masih sangat rendah, hal ini dapat dilihat dari penelitian sebelumnya dimana pada indikator kemampuan berpikir kreatif matematis peserta didik belum terfasilitasi. Dan berdasarkan hasil observasi…
The basis of the problem faced is the mathematical problem solving ability (KPMM) of MTs PP students. Nurul Islam Kampung Baru class VIII.1 is low. Therefore, research was carried out which intended to fixed the learning process and build KPMM of MTs PP students. Nurul Islam Kampung Baru class VIII.1 to be more improved by application a problem-based learning (PBL) model on the topic of flat-si…
Penelitian ini dilatar belakangi oleh pentingnya Kemampuan Komunikasi Matematis (KKM) peserta didik konten statistika namun kenyataannya rata-rata KKM peserta didik masih tergolong rendah. Ini terlihat dari hasil wawancara oleh salah satu guru Matematika kelas VIII di SMPN 4 Tambang didapat informasi bahwa peserta didik masih kesulitan dalam menyelesaikan soal yang berhubungan dengan menghubung…
NURUL IZATUL AZIZAH, NIM. 2110246783, Development of Approach-Based Electronic Teaching Materials Contextual Teaching and Learning (CTL) on Systems of Linear Equations and Inequalities Phase E to Improve Mathematical Problem Solving Skills, supervised by Dra Yenita Roza, Ph.D and Dr Kartini, M.Si. This research was motivated by the low level of students' mathematical problem solving skills and…
Every life insurance company provides financial protection services to the heirs or beneficiaries against various risks that will occurs in the event of death of the policyholder. The company must set aside a reserve fund to meet future obligations related to claims from policyholders. This reserve is obtained from premiums paid by insurance participants. The Premium Difference Formula re- serv…
One of the risks that a worker will face in his job is the risk of old age. In- creasing age causes workers to experience a decrease in their productivity in their lives, so they are unable to work as they did when they were at productive age. Meanwhile, workers must prepare all needs from an early age to ensure welfare and income in old age. To reduce the risk in old age is to follow the pensi…
This final project discusses the fear effect induced anti-predator behavior on predation in a modified Leslie-Gower predator-prey model, which includes prey refuge and predation rate following the Beddington-DeAngelis functional res- ponse. Furthermore, analyzing the equilibrium points and local stability, it is found that the model has four equilibrium points with one stable nodes and three un…