http://repository.umnaw.ac.id/jspui/handle/123456789/2488 2026-04-09T03:36:36Z http://repository.umnaw.ac.id/jspui/handle/123456789/2581 Title: Improvement habits of minds in constructing mathematical proof using DNR-model Authors: Mujib, Abdul; Firmansyah Abstract: Abstract. This study aims to improve students' mind habits in constructing mathematical proof through DNR-Model. DNRModel consists of three main stages: Duality (how to understand and how to think), necessity, and repeated reasoning. This research is a quantitative study with a quasi-experimental design. The samples were then second-year students of the mathematics education department; the Muhammadiyah University of Tangerang consists of 60 students who were divided into two class groups. Two classes were selected as an experimental class that provides learning models for DNR-Model, and one other class as a control class that subjects are given conventional learning. The results showed that there aren't differences in the increase in the habits of minds of students in constructing mathematical proof based on MPK (Mathematical Prior Knowledge) levels of both high, medium, low, and overall learning based on DNR-Model and conventional learning. The experimental group's average n-gain habits of mind are 0.27, or the lower category than the average n-gain of the control group is 0.28 or the low category. The low Habits of Mind of students has less influence on the ability to construct mathematical proofs. 2022-07-20T00:00:00Z http://repository.umnaw.ac.id/jspui/handle/123456789/2491 Title: Numerical Solution of SEIR Model of The MERS-CoV Disease using Homotopy Analysis Method Authors: Rangkuti, Y.M.; Firmansyah; Ginting,  E.; Landong, A Abstract: The spread of MERS-Cov disease which was modelled by Susceptible Exposed Infected Recovered (SEIR) model has been solved by a reliable method so-called Homotopy Analysis Method (HAM). The solution using HAM is done by constructing the zero order deformation equation of SEIR model into a high order equation and selecting the convergence control (ℏ). The closeness of HAM and Fourth order Runge Kutta (RK4) solutions and also the existence of residual error showa benchmark of the success of the HAM. The result shows that the minimum errors of the closeness of HAM and fourth order Runge Kutta (RK4) solutions are 10−7while the minimum residual error of HAM solutions are10−18 . Therefore, HAM has successfully obtained solution of SEIR model approximately. Overall, HAM can be an alternative method for solving more complex models. 2021-03-01T00:00:00Z http://repository.umnaw.ac.id/jspui/handle/123456789/2490 Title: Control optimal analysis of SEIR model of covid 19 spread in Indonesia Authors: Rangkuti, Y.M.; Firmansyah; Landong, A Abstract: In this paper we use optimal control techniques, SEIR model of Covid 19 in case Indonesia, in order to establish vaccination, personal protective measures and treatment plans to control the spread of an infectious disease. We validate them by the use of the Maximum Principle. The findings revealed that the best practice of combining all three intervention measures considerably reduces the proportion of people who are exposed and symptomatic, as well as those who are asymptomatic. Description: 1-6 2022-02-01T00:00:00Z http://repository.umnaw.ac.id/jspui/handle/123456789/2489 Title: Sensitivity analysis of SEIR epidemic model of Covid 19 spread in Indonesia Authors: Rangkuti, Y.M.; Firmansyah; Landong, A Abstract: Epidemiological models may provide public health practitioners with some fundamental guidelines, allowing for the examination of issues that may influence disease prevention and treatment techniques. On establish the relative impact of the model parameters to disease transmission, a sensitivity analysis of the epidemiological model is undertaken. A sensitivity analysis of the Susceptible, Exposed, Infectious, and Recovered (SEIR) model of corona virus 2019 (COVID 19) was undertaken to determine the parameters' influence on the basic reproduction number and endemic equilibrium. The rate of contact between susceptible individual and exposed individuals and rate of exposed to infected individuals are the most impactful parameters on the basic reproduction number and the number of infectious individuals, according to our findings. Furthermore, the number of people who have been exposed is affected by the rate at which they proceed from exposed to infect. The findings show that if infectious people recover faster, the number of contagious people will decrease. Description: 1-7 2022-02-01T00:00:00Z