Judul: Raw Water Characteristics and Analysis of Water Sources Management at Household Scale in Babakan Raya Village Bogor Regency
Abstrak: Desa Babakan Raya merupakan lingkungan pemukiman dengan jumlah penduduk yang padat. Penelitian ini dilakukan dengan tujuan untuk menganalisis karakteristik sumber daya air di Desa Babakan Raya Kabupaten Bogor dan kualitas air minumnya, mengidentifikasi pola perilaku penggunaan air pada skala rumah tangga, serta pola pengolahan air yang dilakukan. Penelitian ini dilakukan dengan pengambilan sampel air, pengujian sampel di lokasi, wawancara dengan warga, pengujian sampel di laboratorium dan analisis data. Kualitas sumber air minum berdasarkan parameter fisika sudah sesuai dengan standar baku mutu, tetapi berdasarkan parameter kimia air sumur memiliki pH di bawah baku mutu yang berlaku. Berdasarkan parameter biologi kualitas air tidak memenuhi standar yang berlaku. Pola perilaku penggunaan air pada masyarakat Desa Babakan Raya relatif sama dan pengolahan sumber daya air belum terlaksana dengan efektif, yang terlihat dari kualitas air yang kurang baik. Pemilihan sumber air yang digunakan tidak dipengaruhi oleh karakteristik responden., Babakan Raya Village is a residential area with a dense population. This study was conducted with the aim of analyzing the characteristics of water resources in Babakan Raya Village, Bogor Regency and the quality of drinking water, identifying patterns of water use behavior on a household scale, and patterns of water treatment carried out. This research was conducted by taking air samples, testing samples on site, interviews with residents, testing samples in the laboratory and analyzing data. The quality of drinking water sources based on physical parameters is in accordance with quality standards, but the chemical parameters of well water have a pH below the applicable quality standards. Based on the biological parameters, the water quality does not meet the applicable standards. The pattern of water use behavior in the Babakan Raya Village community is relatively the same and water resource management has not been implemented effectively, which can be seen from the poor water quality. The selection of water sources used is not influenced by the characteristics of the respondents.
Keyword: Keywords: water quality, water processing, water use, behavior patterns, water quality, water processing, water use, behavior patterns

Judul: Analisis Sanitasi Rumah Tangga di Desa Babakan Raya Kabupaten Bogor
Abstrak: Desa dengan permukiman yang padat menyebabkan sistem sanitasi yang kurang tertata. Penelitian bertujuan untuk menganalisis kualitas air untuk keperluan rumah tangga, mengetahui pola sanitasi rumah tangga, dan mengidentifikasi faktor faktor yang mempengaruhi pola sanitasi rumah tangga di Desa Babakan Raya. Analisis dilakukan pada 80 sampel rumah tangga dan 170 sampel air. Hasil uji kualitas air lalu dibandingkan dengan standar kualitas air yang berlaku di Indonesia. Hasil analisis memperlihatkan bahwa kualitas sumber air baku dan air minum pada 80 rumah responden memiliki kualitas yang kurang baik karena masih terdapat bakteri pada air, serta nilai konduktivitas dan pH tidak sesuai dengan baku mutu. Masyarakat Desa Babakan Raya memiliki profil sanitasi yang kurang memadai karena masih ada responden yang membuang limbah ke badan air. Kualitas air limbah masih dalam klasifikasi yang baik dan memenuhi standar baku mutu untuk parameter pengujian DO dan pH. Menurut responden, pendapatan dan lama tinggal tidak memiliki hubungan yang signifikan terhadap kepemilikan septic tank., Villages with dense settlements caused the sanitation system was not well organized. The objectives of the research were to analyze the quality of water for household use, to determine the pattern of household sanitation, and to identify the factors that influence the pattern of household sanitation in Babakan Raya Village. The analysis was carried out on 80 household samples and 170 water samples. The results of the water quality test were compared with the applicable water quality standards in Indonesia. The analysis results showed that the quality of raw water sources and drinking water of 80 respondents had poor quality because there were still bacteria in the water, and the conductivity and pH values did not meet the quality standards. The habitants of Babakan Raya Village have an inadequate sanitation profile because there were still respondents who dispose the waste into water bodies. The quality of the wastewater was still in a good classification and meets the quality standards for DO and pH testing parameters. According to respondents, income and length of stay did not have a significant relationship with the ownership of a septic tank.
Keyword: sanitation, septic tank, water quality

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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