Jurnal Pustaka Cendekia Pendidikan
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.
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Persamaan Logaritma Berbentuk a log f(x) = a log g(x)
Anisa Syairah
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
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DOI: 10.70292/jpcp.v2i3.10
Logarithms are the opposite of exponents. For this reason, before discussing logarithms, it is necessary toreview exponentials and their properties (Thamrin, 2017). Logarithmic equations are equations whose numbersare logarithmic numbers. Logarithmic equations, in general to solve logarithmic equations related tologarithms, the concept or fact is often used that ???? ???????????? ???? = ???? ???????????? ???? ↔ ???? = ????. The information collectionmethod used is a literature study. By proving the work on the example problem of logarithm equations in theform ???????????????? f(????) = ???????????????? ????(????).
Menghitung Determinan Matriks Blok Menggunakan Ekspansi Laplace
Diah Fauziyah Putri
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
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DOI: 10.70292/jpcp.v2i3.12
A matrix is an arrangement of numbers, symbols or expressions arranged in rows and columns to form a square. The matrix was first conceived by Arthur Caley in 1859 in the study of systems of linear equations and linear transformations. In matrix theory, the calculation of determinants is one of the studies that is often discussed. Calculation of the determinant associated with a small matrix (n ≤ 3) is usually never a problem, only using the definition of the determinant can usually be solved immediately. However, calculating the determinant of a matrix with a large size is difficult to do if you only use the definition of the determinant. Several methods that can be used to calculate the determinant of a matrix are row reduction method, Laplace/cofactor expansion method and Schur's complement method. Another method that can be used is to change the matrix into a block matrix. To determine the determinant of the block matrix, the writer in this writing will use one of the methods, namely the Laplace/cofactor expansion method.
DETERMINAN MATRIKS ORDO 3X3 DENGAN MENGGUNAKAN METODE CROUT
Vivi Sahira Lestary
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
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DOI: 10.70292/jpcp.v2i3.13
The determinant is an arrangement of numbers or symbols in the form of a square and presented between twovertical lines. The determinant as a unit that represents a value from the given matrix. The determinant of matrix A is denoted by [A] or det(A). In matrix theory, the calculation of determinants is one of the studies that is often discussed. Calculation of the determinant associated with a small matrix (n ≤ 3) is usually never a problem, only using the definition of the determinant can usually be solved immediately. However, calculating the determinant of a matrix with a large size is difficult to do if you only use the definition of the determinant. Several methods that can be used to calculate the determinant of a matrix are the row reduction method, theLaplace/cofactor expansion method and the Crout method. To determine the determinant of the matrix in this article, the Crout method will be used.
DETERMINAN MATRIKS ORDO 3X3 DENGAN METODE MINOR DAN KOFAKTOR
Sri Yulianti;
Risman Bustaman
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 3 (2025): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 3, Januari - April 2025
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DOI: 10.70292/jpcp.v2i3.14
Minor and cofactor methods are general methods that can be used to determine the determinant of matrices. Calculation of the determinant of the matrix with the minor and cofactor methods can be applied to all sizes of square matrices. The determinant of the matrix can be calculated from the minor and the cofactor in one of the rows or columns of the matrix. Before determining the cofactor, we must first determine the submatrix or minor. Definition 2.3 The minor of a matrix A denoted by M_ij is a matrix of parts of A which is obtained by removing the elements in the ith row and the elements in the jth column. Definition 2.4 The cofactor of an element of the I-th row and j-column of matrix A is denoted by K_ij=〖(-1)〗^(i+j) M_ij. To determine the determinant of a matrix using the minor and cofactor method, it is sufficient to take only one expansion.
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
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DOI: 10.70292/jpcp.v2i3.15
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
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DOI: 10.70292/jpcp.v2i3.16
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
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DOI: 10.70292/jpcp.v2i3.17
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.
Evaluasi Dan Penjamin Mutu: Kunci Keberhasilan Manajemen Pendidikan
Nadia Puteri Alindi;
Zadzqia Yuha Rumsah;
Hesti Kusumaningrum
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
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DOI: 10.70292/jpcp.v2i3.77
This article discusses the role of evaluation and quality assurance as key factors in the success of educational management. The main objective of this study is to explain the concept and importance of educational quality, quality assurance systems, as well as the goals and principles of educational quality assurance. The methods used include a literature review and an analysis of existing quality assurance systems. The research findings indicate that effective quality assurance involves the implementation of clear paradigms, principles, and goals. Meanwhile, educational evaluation plays a crucial role in assessing and improving educational quality through its structured characteristics and functions. The study concludes that the integration of a comprehensive assessment and quality assurance system is a critical factor in achieving success in educational management, providing practical guidance for education managers to ensure high standards and ongoing educational improvement.
Pengenalan Peserta Didik dan Suasana Sekolah di SMA Negeri 1 Kuok
Mimis Saputra;
Bunga Ervinasari;
Astuti
Jurnal Pustaka Cendekia Pendidikan Vol. 2 No. 3 (2025): Jurnal Pustaka Cendekia Pendidikan, Volume 2 Nomor 3, Januari - April 2025
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DOI: 10.70292/jpcp.v2i3.78
This article aims to review information about Student Introduction and School Atmosphere at SMA Negeri 1 Kuok. The method used is an exploratory method. This research was conducted at SMA Negeri 1 Kuok. The subject of the research was one of the educators of the Mathematics study program at SMA Negeri 1 Kuok who teaches in class XII along with students of class XII at SMA Negeri 1 Kuok. The results of the study showed that the researcher gained new experiences and provided the researcher with extensive knowledge for the future in the teaching and learning process as a prospective student. The researcher can also find out the situation and conditions related to the school concerned. The implications of personality at SMAN 1 Kuok are very good, both for educators and students. Educators have mature, wise, authoritative and noble personalities who are role models for students. The implications of professional competence of educators and pedagogy in improving student learning outcomes at SMAN 1 Kuok have been implemented, but during the Covid19 pandemic, the implementation process was considered less than optimal. The less than optimal professional competence of educators has an impact on improving student learning outcomes. Pedagogical competence at SMAN 1 Kuok has been implemented and educators are able to manage student learning. The implications of social competence at SMAN 1 Kuok have been implemented, educators interact effectively and efficiently with students, fellow educators, education personnel, guardians of students and the community.
Pengenalan Peserta Didik dan Suasana SMP/SMA Sederajat di SMP Negeri 1 Bangkinang Kota
Mimis Saputra;
Astuti
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
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DOI: 10.70292/jpcp.v2i3.79
This article aims to review information about the Introduction of Students and the Atmosphere of Junior High Schools/Equivalent High Schools at SMP Negeri 1 Bangkinang City. The methods used are observation and interview methods. This research was conducted at SMP Negeri 1 Bangkinang City. The technical implementation of Internship I began with the preparation and briefing stage. Then continued with the implementation stage of internship I, making a final report and ending with a Seminar. The results of the study showed that the internship activity l carried out at SMPN 1 Bangkinang City for 2 months and 8 meetings, it can be concluded that SMPN 1 Bangkinang City has good integrity, both in terms of facilities and in its learning process. SMPN 1 Bangkinang City has a spacious school environment with the condition of the building used very supportive for good and conducive teaching and learning activities. The school building is equipped with sufficient classrooms and has complete facilities. The atmosphere of the school environment is full of trees so that the air around the school is good and comfortable. In addition, the location of the school is very strategic, namely close to Sadion Tuanku Tambusai Bangkinang City. SMPN 1 Bangkinang Kota has a tradition or good habits that students do every day. One of them is shaking hands every morning with the TEACHER, but now during the Covid-19 pandemic this is not done. And SMPN 1 Bangkinang Kota also has many extracurricular activities and there are many trophies from competition achievements. The facilities and infrastructure at SMPN 1 Bangkinang Kota are adequate to support smooth teaching and learning activities. SMPN 1 Bangkinang Kota also provides a place of worship that is more than just decent, namely the construction of a prayer room. Overall, this school meets good standards in the teaching and learning process.