This research is motivated by the low mathematics learning outcomes of students because students have difficulty understanding mathematical concepts and students are less active in the learning process. So we need a learning model that can help students learn and can stimulate students to understand concepts to complete mathematics, one of which is the application of the Problem Based Learning …
This research is a research and development aims to produce a syllabus, lesson plans (RPP), and student worksheets (LKPD) with a problem based learning model to facilitate mathematical problem solving ability for Senior High School grade X on the material Three Variables Linear Equation System. This research and development uses 4-D development model. The instrument used in the research was val…
One of the main focuses of mathematics learning objectives is that students master mathematical problem solving skills (KPMM), but it is known that KPMM of students is still quite low and teacher learning tools cannot be said to facilitate this ability. This research is intended to produce learning tools consisting of syllabus, lesson plans and LKPD based on Problem Based Learning to facilitate…
This research is a development research which is motivated by the low mathematical problem-solving ability of student. This research aims to produce a mathematical learning device based on problem based learning to facilitate nineth-grade student of SMP/MTs mathematical problem solving ability of valid and practical on transformation material. The development model used is the 4-D model which c…
This nal project discusses the solution of travelling salesman problem with multiple objective functions in the form of triangular fuzzy. Triangular fuzzy numbers are converted into paramaters. Moreover the fuzzy numbers in the form of parameters are converted into the form of a convex combination. Optimal solution of the single objective function travelling salesman problem provides the …
This nal project discusses the properties of BO-algebra and the relation of BO-algebra with BG-algebra, Abelian group, and B-algebra. Their relationship is proven by showing that the properties of BO-algebra, BG-algebra, Abelian group, and B-algebra are interrelated. Keywords: BO-algebra, BG-algebra, Abelian group, B-algebra
This final project discusses the Maximum Sustainable Yield (MSY) value in predator prey model with Holling type II function. In this model there are four equilibrium points in which two of them are stable. Simulations on the model are carried out to describe the dynamics of the two populations. Based on result of analysis and simulations, the MSY value can be achieved when the harvesting e…
This final project discusses an iterative method of SOR-like to solve an absolute value equation. Some new conditions for the convergence of the method are given, which are different from the result obtained by Ke and Ma. Numerical experiments show that the SOR-like iteration method can be used as an alternative method to solve the absolute value equation. Keywords: Iterative method, SOR-l…
This final project discusses Newton-Obadah-Newton’s (NON) method for solving a nonlinear equation. The convergence analysis shows that NON’s method has an eighth-order convergence. As for the end discussion, a numerical comparison of NON’s method and other methods with the same order convergence have been observed which conclude that NON’s method can be used as an alternative metho…
This final project discusses the problem of solving supply by considering a product that has a limited shelf life called deterioration. This study also considers the existence of product deficiencies and partial backlogging during the market demand process. Market demand is assumed to be a function of the ramp where the demand for products initially increases a few moments then stabilizes a…
This final project discusses the reciprocal addition formula of multiplying Fibonacci and Lucas numbers using the floor function with mn, where the values of m are any positive integers, and the values of n are even and odd integers. The reciprocal addition formula is proved by using a definition, the properties of multiplication of Fibonacci and Lucas numbers, and algebraic calculations. …
BP-algebra is a nonempty set with binary operation which satisfies the axioms (BP1) , (BP2) , (BP3) for each . In this research, the concept of - -derivation dan - -derivation in BP-algebra are defined along with its properties. Based on the concepts and - -derivation in B-algebra the properties of -derivation in BP-algebra are constructed. In the final part, the properties of the general…
This final projects discusses the solution of the neuteosophic travelling salesman problem in trapezoidal fuzzy using the method of branch-and-bound algorithm. The goal is to find the best obtained path of salesman routes. The discussion concludes that the branch-and-bound algorithm can be used as a method to solve the travelling salesman problem. Keywords: Fuzzy trapezoidal number, rankin…
This final project discusses full preliminary term reserve of endowment insurance for single insurance participant who are x years old by using the interest rate model of Cox-Ingersoll-Ross and Pareto distribution. The parameters in the model are estimated by using maximum likelihood method. The solution of this problem is obtained by determining the single premium, annual premium, and lif…
This nal project discusses the sums of reciprocal and reciprocal squared of Lucas number through several propositions in the form of inequalities. Several identities are used to prove the propositions. Some required identities are proven by mathematical induction, Binet's formula, and recurrence relations of Lucas numbers. Then, to get the results of the sums of reciprocal and reciprocal …
This thesis discusses the EOQ model by adding tolerance values, especially for items that are easily damaged. The tolerance value when ordering is placed is called α and when the goods are stored is called β given to minimize damage or depreciation. Perishable items in this thesis are fish, meat, fruit and vegetables. The assumption is given that the order tolerance value is smaller than …
This thesis discusses a development of BCH-algebra with addition of derivations concept in BCH-algebra. BCH-algebra is a nonempty set with binary operation and constant , and statisfying the certain axioms. A mapping of from to itself is said to be a derivation in BCH-algebra if is both -derivation and -derivation in BCH-algebra, where is BCH-algebra. In the research by adding an endomorph…
This research to produce a product in the form mathematical learning devices using based on discovery learning on valid and practical relation and function material. The development model used is a 4-D model, namely define, design, develop, and desseminate. The research instrument used is the instrument of validity and practicality. The instrument of validity is in the form of a validation asse…
This research is motivated by the 2013 Curriculum which requires students to be active in learning so that they are able to build their own knowledge and be able to solve contextual problems that facilitate mathematical problem solving abilities. The purpose of this study is to produce products in the form of learning tools, namely Syllabus, RPP, and Student Activity Sheets (LAS) for SPLTV mate…
B-algebra is a non-empty set X with a constant 0 and a binary operation ∗, satisfying the certain axioms. A special form of B-algebra is a BM -algebra. Their relationship are every BM -algebra is a B-algebra and every 0-commutative Balgebra is a BM -algebra. The concept of fq-derivation in B-algebra is discussed. In this thesis, the fq-derivation in BM -algebra and left fq-derivation in …