This research aims to improve learning process and increase student’s mathematical achievement through implementation of Problem Based Learning (PBL) Model. This type of research is Classroom Action Research with two cycle.The research was conducted in class VIIIb UPT SMPN 7 Tapung Hulu Kabupaten Kampar in the odd semester of the 2023/2024 academic year. The subject of this research consist …
This final project discusses the new iterative method using weight function for solving nonlinear equations. The convergence analysis using Taylor expansion and geometric series shows that the proposed method has a fifth order conver- gence with efficiency index is 1.495348781. Numerical computational results of some examples with several different types of fifth order methods show that in gene…
This final project discusses the hybrid Steffensen method (MSH) as a new ite- ration formula obtained from a convex combination of the Steffensen forward method (MFS) and Steffensen backward method (MBS) for a parameter ω with 0 ≤ ω ≤ 1. Based on the analysis of the convergence, it shows that MSH has a quadratic order of convergence. Then from the results of computational tests through co…
This final project discusses the mathematical modeling of the nurse scheduling problem in one working day period, using the integer linear program method by meeting the existing constraints. The mathematical model in this problem is assisted by the LINGO application. In this study, the number of working days of each nurse with the same total working days was obtained. The mathematical model in …
In life insurance companies, to anticipate the possibility of company losses when the policyholder dies without sufficient funds because the company must pay the sum insured to the heirs. The company needs to prepare reserve costs to ensure that the company has sufficient funds to pay for the needs of the insuran- ce company and insurance participants. The objective is to determine the full pre…
This final project discusses the quadratic programming problem of linear con- straints and solves it using the Kuhn-Tucker condition method. This method starts by changing the inequality constraint into an equation using the additio- nal function of the Lagrange multiplier. The multiplier is used to convert the extreme point of a constraint function into a point. Each Lagrange multiplier must s…
This final project discusses the problem of mixed constraint linear programming and solves them using the Lagrange multiplier method. Linear programming is used to solve problems in everyday life. Problems that are often associated with linear programming are always related to various fields of economics such as problems that often occur in home industry businesses, namely the insta- bility o…
This final project discusses the dynamics of a predator-prey model involving interactions between predator and prey populations. This interaction is influ- enced by the fear effect on prey which causes prey to migrate to safer patches. Predator density decreases when the level of fear effect increases. Migration be- tween patches also has a large impact on predator density. The model is solved …
This final project discusses the development of Van Aubel’s theorem on nonconvex quadrilaterals with semicircles. The process of proving this theorem uses the cosine rule, and the congruence and congruence approaches. In a nonconvex quadrilateral, each side is constructed as a semicircle, with the diameter of each semicircle being a side of the non-convex quadrilateral. If the midpoints …
This final project presents fractional derivatives of polynomial functions with Caputo concept and related with gamma function and beta function. The fractional derivative is denoted by D(α)f (x) with α is fractional number greater than 0 and x is a variable. The result of the final project present that fractional derivatives provide more subtle and detailed changes from the original function…
This final project discusses general inverse on interval matrices and its applicationto climate change data. The topic of interval number arithmetic has attracted the attention of a number of researchers, especially in the context of multiplication operations. Some definitions of multiplication operations by researchers do not produce identities when interval numbers are multiplied by their i…
This final project presents increasingly rapid development of interval numbers. Many researchers have discussed algebraic operations on the number of intervals by presenting different formulas mainly on the multiplication formula and the division of two interval numbers. The formula given by many such researchers has a weakness that multiplication of an interval number with its inverse does not…