Abstract This research aims to develop instructional materials for teaching statistics using a contextual teaching and learning strategy. The goal is to enhance the mathematical connection abilities of eighth-grade junior high school students. The materials are designed to meet the criteria of validity and practicality. The present study involves the development of a 4-D model, encompassing th…
This final project discusses a three-step iteration method obtained from the third-order Homeier’s method by adding a Newton’s method as the third step and approximating the derivative in last step of iteration by using linear interpo- lation. Convergence analysis shows that the resulting method has a convergence order of six with an efficiency index of 1.5651. Computational tests conclude …
This final project discusses the second derivative free optimal iteration method to solve nonlinear equations obtained by approximating the second derivative of the Noor-Noor-Momani method using quadratic and cubic polynomials. Ana- lytically, this iteration method has a convergence order of four and an efficiency index of 1.5874. The computational test shows that the resulting method can be us…
This final project discuss a development of mixtilinear incircle and excircle in bisectors of triangle. The development is carried out demonstrates the relation that forms between the radii of mixtilinear incircles and excircles that can be constructed on the angle bisectors of ABC. Then points are constructed D on side BC so that AD = d divides ∠A equally, in each triangle, three different m…
A new approach is presented in this final project with the purpose of calculating the square roots of a quadratic matrix order 3. In this final project, the Cayley- Hamilton Theorem is applied to the characteristic polynomial of the square roots of a quadratic matrix order 3. In addition, this final project is also aims to determine the explicit formula of each square roots of a quadratic matri…
This final project discusses the dynamics of the predator-prey model with prey refuge and considers the effect of fear. The observed model has four equilibrium points where two points are unstable and other points are stable under certain conditions. Simulation of the model is carried out with spesific parameters to describe the behavior and stability of the equilibrium points. Based on results…
This final project discusses a new family of optimal fourth-order iterative method to solve a nonlinear equation. Analytically using the Taylor expansion and geometric series that the iterative method has a convergence order of four and efficiency index is 1.587. Comparisons of computational tests shows that a new family of optimal fourth-order iterative methods can be used as an alternative in…
This final project discusses a two-step iterative method for solving nonlinear equations. This method is obtained by modifying Newton’s method using a weight function. Analytically, it is shown that using Taylor expansion and geo- metric series, this iteration method has a convergence order of five and requires four function evaluations for each iteration. This fifth order iteration method ha…
This final project discusses the formula determinant and characteristic polyno- mial for the Lucas-Sylvester-Kac matrix of order n n. The solution is obtained by using the application matrix centrosymmetric form, and in this final project also considers two cases, namely when the Lucas-Sylvester-Kac matrix has even order n and when the Lucas-Sylvester-Kac matrix has odd order n. Characte- risti…
Life insurance is a protection effort provided by the insurer against risks to the insured’s life that will arise from an unpredictable event. Insurance companies need to calculate reserves to prepare funds when participants request a claim. Zillmer’s reserves are modified reserves that are calculated using prospective reserves and a zillmer rate of β.This final project aims to determin…
The welfare of workers at retirement age is an important factor in ensuring fulfillment of needs in old age, especially workers who work for a company or a government agency. Workers must have an early plan that can guarantee future welfare when entering retirement age. Given the economic development and technological advances that will trigger an increase in needs, a worker will certainly not …
This final project discusses the application of location-allocation model in optimizing the number and location of fire stations in Pekanbaru City. This quantitative location-allocation model is solved by formulating the Set Covering Location Problem (SCLP) model and the p-median problem model. The mathematical model in this problem is solved using the LINGO 18.0. The completion of the SCLP m…
This final project discusses the use of the Set Covering Problem (SCP) model in determining the optimal location and number of fire stations in Pekanbaru City. The SCP model includes Location Set Covering Problem (LSCP) and Maximum Covering Location Problem (MCLP). Problems in this model are solved using the LINGO 18.0 application. Based on the LSCP model with a maximum travel time of 15 minute…
The pension fund program is a type of future planning that tries to assure a person’s safety and comfort in old age. This final project discusses the normal cost of the pension fund using the projected unit credit method in the case of multiple decrement. Based on data service table PT. Taspen Pekanbaru City Branch with three cases, namely normal retirement, withdraw ret…
This final project explains the application of game theory on social media com- petition using linear programming and Brown’s algorithm. This problem aims to determine the optimal strategy for each social media. The social media in this study are Instagram, Tiktok, and Twitter. Alternative strategies are informa- tion strategy, communication strategy, promotion strategy, and entertainment str…
The final project discusses the properties of incline algebra and right derivation of incline algebra. The discussion includes the concept of relation, poset, dis- tributive lattice, boolean algebra, incline algebra, and semiring. The result of this project show the relationship right derivation of incline algebra with right derivation semiring. Keywords: incline algebra, right derivation, d…