scholarly journals Linear Equation System Study on Electrical Circuits Using Matlab

2018 ◽  
Vol 3 (1) ◽  
pp. 1
Author(s):  
Ulul Ilmi

In everyday life, especially in the electrical circuit, there are many usage of matrix. One use of a matrix is found in the system of linear equations. In the field of electrical circuits there are also problems involving systems of linear equations in matrix form. To solve the system of linear equations in matrix form, in addition to using elementary row operations, also used matlab.

2019 ◽  
Vol 6 (1) ◽  
pp. 69-84
Author(s):  
K. Ayu Dwi Indrawati ◽  
Ahmad Muzaki ◽  
Baiq Rika Ayu Febrilia

This research aimed to describe the thinking process of students in solving the system of linear equations based on Polya stages. This study was a descriptive qualitative research involving six Year 10 students who are selected based on the teacher's advice and the initial mathematical ability categories, namely: (1) Students with low initial mathematics ability, (2) Students with moderate initial mathematics ability, and ( 3) students with high initial mathematics ability categories. The results indicated that students with low initial mathematical ability category were only able to solve the two-variable linear equation system problems. Students in the medium category of initial mathematics ability and students in the category of high initial mathematics ability were able to solve the problem in the form of a system of linear equations of two variables and a system of three-variable linear equations. However, students found it challenging to solve problems with complicated or unusual words or languages.


2018 ◽  
Vol 7 (2) ◽  
pp. 229-238
Author(s):  
Linda Jasira ◽  
Rezky Ramadhona ◽  
Linda Rosmery Tambunan

AbstrakPenelitian ini merupakan Penelitian Tindakan Kelas yang bertujuan untuk meningkatkan kecepatan siswa dalam menyelesaikan soal cerita sistem persamaan linear tiga variabel melalui model pembelajaran Problem Based Learningdi kelas X SMK Pembangunan Tanjungpinang. Subjek dalam penelitian ini adalah siswa kelas X di SMK Pembangunan Tanjungpinang yang berjumlah 27 siswa. Penelitian ini dilaksanakan dalam 2 siklus, yakni siklus pertama terdiri dari 3 kali pertemuan dan siklus kedua terdiri dari 3 kali pertemuan. Instrumen yang digunakan dalam penelitian ini adalah tes untuk mengukur kecepatan keterampilan siswa dalam menyelesaikan soal cerita sistem persamaan linear tiga variabel, lembar observasi pelaksanaan pembelajaran, pencapaian alokasi waktu dan catatan lapangan. Data dari hasil tes, observasi dan catatan lapangan dari semua data yang diperoleh tersebut dianalisis secara deskriptif kualitatif.Hasil penelitian menunjukkan bahwa kecepatan siswa dalam menyelesaikan soal cerita sistem persamaan linear tiga variabel siswa kelas X SMK Pembangunan Tanjungpinang mengalami peningkatan dari siklus I ke siklus II setelah dilaksanakan pembelajaran melalui model pembelajaran Problem Based Learning. Hal ini ditunjukkan untuk skor setiap aspek menyelesaikan soal cerita sistem persamaan linear tiga variabel siswa menunjukkan bahwa sebanyak 62,96 % dari jumlah siswa mengalami peningkatan pada aspek penjelasan ditulis secara matematis serta tersusun secara logis dan sistematis, sebanyak 74,07 % dari jumlah siswa mengalami peningkatan pada aspek menggunakan metode secara lengkap serta mendapatkan solusi yang benar dan sebanyak 77,78 % dari jumlah siswa mengalami peningkatan pada aspek membuat model matematika dengan benar, kemudian melakukan perhitungan dengan tepat serta mendapatkan solusi yang benar dan lengkap. Rata-rata nilai tes pada siklus I adalah 6,37%pada kategori cukup dan pada siklus II meningkat menjadi 7,68%pada kategori baik. Dengan demikian, siswa mempunyai respon yang positif terhadap pembelajaran matematika melalui model Problem Based Learning dalam upaya meningkatkan kecepatan siswa dalam menyelesaikan soal cerita sistem persamaan linear tiga variabel. AbstractThis research is a Classroom Action Research that aims to improve the speed of students in solving the problem story system of linear equations of three variables through the model of Problem Based Learning in class X SMK Pembangunan Tanjungpinang. Subjects in this study were the students of class X in vocational development Tanjungpinang totaling 27 students. This research is conducted in 2 cycles, ie the first cycle consists of 3 meetings and the second cycle consists of 3 meetings. The instrument used in this study is a test to measure the speed of the students' skills in solving the story problem of linear equations system of three variables, observation sheet of learning implementation, achievement of time allocation and field notes. Data from the test results, observations and field notes of all the data obtained are analyzed descriptively qualitatif.Hasil research shows that the speed of students in solving the problem story system of linear equations of three variables of students class X SMK Development Tanjungpinang increased from cycle I to cycle II after implemented learning through the model of learning Problem Based Learning. It is shown to score every aspect of solving linear equation system problem of three student variables indicate that as much as 62,96% of students have improvement in explanation aspect written mathematically and arranged logically and systematically, as much as 74,07% from student improvements in the aspects of using the method completely and get the right solution and as many as 77.78% of the number of students have improved on the aspects of making the mathematical model correctly, then do the calculations appropriately and get a solution that is true and complete. The average value of the test in the first cycle is 6.37% in the sufficient category and in the second cycle increased to 7.68% in either category. Thus, students have a positive response to the learning of mathematics through the model of Problem Based Learning in an effort to increase the student's speed in solving the problem story system of linear equations of three variables. 


2017 ◽  
Vol 10 (2) ◽  
pp. 25-36
Author(s):  
Zefriyenni Zefriyenni ◽  
Hayatul Mardhiyah

In the education required changes in the application of the development of teaching and learning methods to improve student interest in learning mathematics, especially in doing mathematics problems class VIII about the system of linear equations two variables. The low ability of students in the learning process and workmanship problems caused by various factors, such as learning systems used are still conventional. Therefore, the author helps SMP N 1 Pariangan to transform the learning resources of the book into digital form in accordance with the development of mobile device technology today, by making a mobile learning application. Mobile learning application displays about two-variable linear equation system, displaying learning materials , news menu, and task upload system. The application is made in the form of mobile application for android based mobile devices. With this mobile learning application can improve the ability, and facilitate students in learning mathematics about the system of linear equations two variables. Keywords: Android Internet, Mobile Application, Mobile Learning, Spldv


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 128-135
Author(s):  
Dinda Ayu Rachmawati ◽  
Tatag Yuli Eko Siswono

Understanding is constructed or reconstructed by students actively. APOS theory (action, process, object, schema) is a theory that states that individuals construct or reconstruct a concept through four stages, namely: action, process, object, and scheme. APOS theory can be used to analyze understanding of a mathematical concept. This research is a qualitative research which aims to describe impulsive and reflective students’ understanding to linear equations system based on APOS theory. Data collection techniques were carried out by giving Matching Familiar Figure Test (MFFT) and concept understanding tests to 32 students of 8th grade in junior high school, then selected one subject with impulsive cognitive style and one subject with reflective cognitive style that can determine solutions set and solve story questions of linear equation system of two variables correctly, then the subjects were interviewed. The results show that there were differences between impulsive and reflective subjects at the stage of action in explaining the definition and giving non-examples of linear equation system of two variables, show the differences in initial scheme of two subjects. At the process stage, impulsive and reflective subjects determine solutions set of linear equation system of two variables. At the object stage, impulsive and reflective subjects determine characteristics of linear equation system of two variables. At the schema stage, impulsive and reflective subjects solve story questions of of linear equation system of two variables, show the final schematic similarity of two subjects.Keywords: understanding, APOS theory, linear equations system of two variables, impulsive cognitive style, reflective cognitive style.


2019 ◽  
Vol 6 (1) ◽  
pp. 57
Author(s):  
Siti Suprihatiningsih ◽  
Pradipta Annurwanda

This study aims to develop a problem-based mathematical module in the material system of two-variable linear equations of class VIII SMP students that are valid, practical and effective. This research is a development research with the method used is ADDIE. The subject of this study was the eighth grade students of SMP Negeri 1 Ngabang, Landak District. The instruments used were validation sheets, observation sheets and student learning outcomes tests. The result indicates that a problem-based mathematical module has been developed in the material system of two-variable linear equations of class VIII SMP students that are valid, practical and effective. Based on the results of the validity test, it can be stated that the problem-based mathematical module produced is valid with a validity value of 79.11. The implementation observation results show that the problem-based mathematics module is in the practical category with a practical value of 82.18. Then the results of student learning tests showed that the average value of the learning outcomes test was 83.00 and the effectiveness of the problem-based mathematics module was 87.50% and included in the effective category. When viewed from the results of the tests performed, the development of problem-based mathematical modules in the subject matter of the two-variable linear equation system has been successfully developed and is suitable for use in Ngabang 1 State Middle School.


2020 ◽  
Vol 1 (4) ◽  
pp. 130-135
Author(s):  
Dwindi Agryanti Johar

This study discusses the equalization of chemical reactions using a system of linear equations with the Gaussian and Gauss-Jordan elimination. The results show that there is a contradiction in the existing methods for balancing chemical reactions. This study also aims to criticize several studies that say that the equalization of the reaction coefficient can use a system of linear equations. In this paper, the chemical equations were balanced by representing the chemical equation into systems of linear equations. Particularly, the Gauss and Gauss-Jordan elimination methods were used to solve the mathematical problem with this method, it was possible to handle any chemical reaction with given reactants and products.


2020 ◽  
pp. 5-13 ◽  
Author(s):  
H. Retnawati ◽  
E. Sulistyaningsih ◽  
R. Rasmuin

The intention of this study was to find the learning trajectory of two-variable linear equations system in Junior High School. This study was design research using validation study. The participants of this study were Junior High School students in grade IX SMPIT Luqman al-Hakim Yogyakarta Indonesia. Data were collected through observation and interview. Data were analysed using Milles & Huberman model. Result revealed that the learning trajectory of the two-variables linear equation system were to deepen the mastery of algebra and one-variable linear equation system, model the two-variable linear equation system, solve the experiments, complete the two-variable linear equation using graphs, complete two-variable linear equations by substitution, simple elimination, complex elimination, and mixed method, and solve two-variable linear equation system problems. Keywords: learning trajectory, two-variable linear equation system, design research.


Author(s):  
Hodiyanto Hodiyanto

The general objective of this study was to determine the effect of the Problem Based Learning model on the students' Higher Order Thingking Skills (HOTS) in the material of system of two-variable linear equations in class X of SMA Negeri 9 Pontianak. The specific objectives are (1) to find out the mathematical Higher Order Thingking Skills (HOTS) before and after applied Problem Based Learning in the material of system of two variable linear equations in class X of SMA Negeri 9 Pontianak. (2) to determine the effect and influence of the Problem Based Learning model on students' Higher Order Thingking Skills (HOTS) in the material of system of two-variable linear equations in class X of SMA Negeri 9 Pontianak. The method used in this study is an experiment, with a Pre-Experimental Design research form. The design in this study is One Group Pretest-Posttest Design, which uses only one sample group given the initial test and final test after being given treatment. Based on the results of data analysis conducted on the findings in the field, the results of this study indicate that there is an influence of the Problem Based Learning model on mathematical students' Higher Order Thingking Skills (HOTS) in the two-variable linear equation system material in class X Pontianak State High School 9. Keywords: Problem Based Learning, Higher Order Thingking Skills, experiment.


2021 ◽  
Vol 1 (2) ◽  
pp. 125-131
Author(s):  
Hastuty Musa ◽  
R. Rusli ◽  
Ilhamsyah ◽  
A. Yuliana

The purpose of the study was to describe the types of student errors and the factors that caused students to make mistakes in solving a two-variable system of linear equations based on Watson's criteria for class VIII MTs Pattuku. This type of research is descriptive research using a qualitative approach. The subjects in this study were students of class VIII MTs Pattuku then chose 3 subjects to be interviewed who had the most types of errors based on Watson's criteria. The research instrument used was a diagnostic test consisting of 3 questions about a two-variable linear equation system and interview guidelines. From the results of this study, it shows that there are no students who make mistakes in missing data (committed data) and indirect manipulation (undirected manipulation). 16% made incorrect data errors (innapropriate data), 40% made incorrect procedural errors (innapropriate procedure), 68% made an omitted conclusion error, 24% made a response level conflict error, 36% made mistakes in the skill hierarchy problem, and 48% made mistakes other than the 7 categories above (above other).


2000 ◽  
Vol 93 (5) ◽  
pp. 388-390
Author(s):  
Harris S. Shultz

The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989, 146) states, “Students who are able to apply and translate among different representations of the same problem situation or of the same mathematical concept will have at once a powerful, flexible set of tools for solving problems and a deeper appreciation of the consistency and beauty of mathematics”. The Standards also states, “The connections between algebra and geometry are among the most important in high school mathematics” (1989, 147). This article shows how the phenomenon of instability in the solution of a system of linear equations can be analyzed both algebraically and geometrically.


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