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Jurnal Pustaka Cendekia Pendidikan
Published by PT Pustaka Cendekia Group
ISSN : -     EISSN : 29887720     DOI : https://doi.org/10.70292/jpcp.v2i3.16
Core Subject : Education,
Education Mathematics Other
Jurnal Pustaka Cendekia Pendidikan is aims to facilitate and promote the inquiry into and disseminations of research results on primary education, secondary education, higher education, teacher education, special education, adult education, non-formal education, and any new development and advancement in the field education. The scope of our Journal Includes: 1. Language an dliterature education 2.. Social science education 3. Sports and health education 4. Economics and business education 5. Math and natural science education 6. Vocational and engineering education 7. Visual arts, dance, music, and design education Jurnal Pustaka Cendekia Pendidikan publishes publications three times a year, in September-December, January-April, and May-August. The Journal is registered with E-ISSN: 2987-4475.
Arjuna Subject : Ilmu Sosial - Pendidikan
Articles 117 Documents
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Persamaan Diferensial Bernouli Marliza Syafitri
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 3 (2025): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 3, Januari - April 2025
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v2i3.15

Abstract

A differential equation is an equation that contains the derivative of one or more of the independent variables. An ordinary differential equation contains only one independent variable, while a partial differential equation contains more than one variable. This article explains how to solve Bernouli's differential equation which is a first order differential equation and can be solved by the integral factor method.
Program Linear Menggunakan Metode Grafik Julianis
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 3 (2025): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 3, Januari - April 2025
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v2i3.16

Abstract

Linear programming is part of Operation Research which studies optimum problems. The principles of linearprogramming are applied to real problems including in the fields of economics, health, education, trade,transportation, industry, social affairs, and others. a linear programming problem is a problem related tofinding the optimal value (maximum or minimum value) of the objective function (which is a linear function inthe form Z=c_1x_1+c_2x_2+…c_nx_n\ with decision variables x_1, x_2,…, x_n depending on theconstraints/problem constraints which are expressed in the form of linear equations or inequalities. Theconstraints/problem constraints are referred to as constraints functions, the decision variables on linearprogramming problems must be non-negative x_1 ≥ 0, i = 1,2,…,n.The set of points that fulfill the constraintfunction and the requirements of the (non-negative) decision variable is referred to as the feasible region.Anypoint in the feasible solution area that yields the optimum value (maximum or minimum) of the objectivefunction is referred to as the optimum solution.Graphic method is a way that can be used to solve optimizationproblems in linear programming.The limitation of this method is that the variables that can be used are limited(only two), the use of 3 variables will be very difficult to do.
Teorema Kecil Fermat (Fermat’s Little Theorem) Dini Wahyuningsih
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 3 (2025): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 3, Januari - April 2025
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v2i3.17

Abstract

Fermat's Little Theorem is a fundamental theorem from the realm of number theory. Even by using this theorem, we can derive Euler's Theorem with the help of the properties of the Euler function φ, even though actually Fermat's Little Theorem is a special case of Euler's Theorem. Then Fermat's little theorem (Fermat's little theorem) is a form of Number Theory, which is a branch of Mathematics that discusses various things about numbers. In number theory there is a chapter that discusses three mathematicians who were very useful in the development of number theory. Fermat's theorem is not a grand theorem, in 1622 Pierre de Fermat made a theorem that made him very famous, which is now known as Fermat's little theorem. Fermat's little theorem (Fermat's little theorem) to determine the primeness of a number. In general, Fermat's little theorem is used to find the remainder of division of a number by a prime number.
Menentukan Sistem Persamaan Linear dalam Bentuk Konsisten dan Inkonsisten Daliyah Narayani
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 2 (2024): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 2, September - Desember 2024
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v2i2.18

Abstract

A linear equation is an equation where the variables involved have a degree of at most one.A linear equation isa linear equation with n variables x1, x2, ... , xn. If we have several linear equations then the set of linearequations is called a system of linear equations. This article will explain how to determine a system of linearequations in consistent and inconsistent form. The information gathering method used is literature study. Bydetermining a system of linear equations into consistent and inconsistent forms, students can distinguish asystem of equations.
Integral Fungsi Hiperbolik Mutiara Nursandi
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 2 (2024): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 2, September - Desember 2024
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v2i2.20

Abstract

Certain combinations of exponential functions will form hyperbolic functions such as hyperbolic sine (sinh), hyperbolic cosine (cosh), hyperbolic tangent (tanh⁡), hyperbolic secant (sech⁡), hyperbolic cosecant (csch⁡) and hyperbolic cotangent (coth⁡). An exponential function is a function usually denoted in the form where is an irrational real number with value … The integral of a hyperbolic function is the anti-derivative of a hyperbolic function like , .
Sistem Persamaan Linear dengan Metode Gauss Seidel Bela Amelia
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 2 (2024): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 2, September - Desember 2024
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v2i2.22

Abstract

A linear equation is an algebraic equation in which each term contains a constant or multiplication of a constant with a single variable. Systems of linear equations arise directly from real problems that require a solution process. Systems of linear equations can be solved by two methods. The first method is direct, which is usually called the exact method. These methods include inverse, elimination, substitution, LU decomposition, Cholesky decomposition, QR decomposition, Crout decomposition, and ST decomposition. The second method is usually known as the indirect method or iteration method, including the Jacobi iteration method, the Newton method, and the Gauss Seidel method. The Gauss-Seidel method is a method of solving simultaneous equations through an iteration process so that the actual value is obtained by using the initial value in the next process using a previously known value.
Invers Matriks Ordo 3x3 Dengan Menggunakan Metode Operasi Baris Elementer (OBE) Riska Wulandari
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 1 (2024): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 1, Mei - Agustus 2024
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v2i1.24

Abstract

Matrix is ​​a branch of Linear Algebra, which is one of the important topics in mathematics. In line with the development of science, the application of matrices is often found in everyday life, both in the field of mathematics itself and for other disciplines. This use is widely used in solving problems related to everyday life, for example in banking applications, in the world of sports, and in the economic field. Whereas in mathematics, matrices can be used to handle linear models, such as finding solutions to systems of linear equations. On the other hand, there are also many problems that often arise related to the problem of the matrix itself, including how to determine the inverse of a matrix, which is also known as the inverse of a matrix. While the problem that often arises in finding the inverse matrix is ​​if the matrix is ​​neither square nor singular. In fact, a matrix is ​​said to have an inverse if and only if it is a square matrix and is non-singular. An interesting discussion in matrix theory is determining the inverse of a matrix. Inverses have an important role in solving several problems in matrices and are widely used in mathematics and applied sciences. Many methods are used in finding the inverse matrix including substitution, matrix partitioning, adjoining matrix, Gaussian elimination, Gauss-Jordan elimination, elementary row operations (OBE), elementary inverse matrix multiplication, and LU matrix decomposition. This article explains how to solve an inverse matrix of order 3x3 using elementary row operations (obe) method.
Determinan Matrik 3x3 dengan Metode Doolittle Gita Lestari
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 1 (2024): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 1, Mei - Agustus 2024
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v2i1.26

Abstract

The matrix is one of the basic materials for studying mathematics, especially algebraic problems. This matrix problem is familiar to students because the matrix has been studied since they were in high school. Matrix calculation is an important topic and is often used in mathematical applications. Matrix is used in solving various problems. The matrix has a shape and size or matrix order. Among them are square matrices of size n x n, identity matrices, upper and lower triangular matrices, symmetrical matrices, diagonal matrices, singular and non-singular matrices. While the size of the matrix (matrix order) is determined by the number of rows and columns of a matrix.
Integral Lipat Dua dalam Koordinat Kutub (Polar) Radhia Radhiatul Asna
Jurnal Pustaka Cendekia Pendidikan Vol. 1 No. 2 (2023): Jurnal Pustaka Cendekia Pendidikan, Volume 1 Nomor 2, September - Desember 2023
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v1i2.30

Abstract

Double integrals are ordinary/single integrals where the result of the first integration must be reintegrated. This article will explain how to determine the value of the double integral in polar coordinates. The information collection method used is a literature study. By determining the double integral in polar coordinates, students can distinguish polar coordinates and Cartesian coordinates.
Penerapan Matriks Pada Sistem Persamaan Linear Tiga Variabel (SPLTV) Nurul Khofifah
Jurnal Pustaka Cendekia Pendidikan Vol. 1 No. 2 (2023): Jurnal Pustaka Cendekia Pendidikan, Volume 1 Nomor 2, September - Desember 2023
Publisher : PT PUSTAKA CENDEKIA GROUP

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.70292/jpcp.v1i2.34

Abstract

The system of linear equations (SPL) is an equation that has a variable with the highest rank equal to 1. Before increasing the matrix in a three-variable system of linear equations, the determinant and inverse of the matrix must be determined first. Determine is the value that can be determined from the elements of a square matrix. If you know three linear equations with the form of three variables (x, y, and z), then you can arrange the main determinant, the determinant of the form of the variable x, the determinant of the form of the variable y, and the determinant of the form of the variable z. The inverse matrix is ​​an inverse of the second matrix. If the matrix is ​​multiplied it will produce a square matrix (AB = BA = I). In this article, we will explain how to apply matrices to a system of three-variable linear equations (SPLTV) using the Sarrus and Ajoin methods. Information collection methods used are library research and search engines. By applying the matrix to a three-variable linear equation system, students can find out how to calculate the determinant and inverse matrix in a three-variable linear equation system.

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