Judul: The Relationship between Land Use and Water  Quality of Situ Babakan, DKI Jakarta
Abstrak: Pertumbuhan penduduk dalam lingkup perkotaan terus bertambah dari tahun ke tahun yang berdampak pada tingginya kandungan bahan pencemar di badan air salah satunya situ yang berada di DKI Jakarta yaitu Situ Babakan. Penelitian ini bertujuan menentukan status kualitas air Situ Babakan serta menganalisis hubungan tata guna lahan dengan kualitas air Situ Babakan, DKI Jakarta. Penelitian dilakukan selama dua periode dengan tiga titik pengambilan sampel. Data sekunder juga digunakan dalam penelitian ini yang meliputi data kualitas air Situ Babakan tahun 2019, 2021, dan 2022. Kualitas air Situ Babakan tergolong ke dalam tercemar ringan, sedang, hingga berat. Tata guna lahan seperti daerah bervegetasi dan semak memiliki korelasi positif dan keterkaitan secara signifikan dengan parameter fecal coliform dan total coliform. Sementara itu, korelasi positif yang sangat kuat dan signifikan terdapat pada tata guna lahan terbangun dan lahan terbuka terhadap parameter TDS., The continuous growth of the urban population has led to an increase in the concentration of pollutants in water bodies, including "situ" (lakes) in DKI Jakarta, one of which is Situ Babakan. This study aims to determine the water quality status of Situ Babakan and analyze the relationship between land use and water quality of Situ Babakan, DKI Jakarta. The study was conducted over two periods with three sampling points. Secondary data was also used in this study, including water quality data of Situ Babakan from 2019, 2021, and 2022. Situ Babakan's water quality is classified as lightly, moderately and heavily polluted. Land use such as vegetated and shrub areas had a positive correlation and significant relationship with fecal coliform and total coliform parameters. Meanwhile, a very strong and significant positive correlation was found between built-up land and open land use and TDS parameters.
Keyword: Kualitas air, water quality, Penggunaan lahan, Situ Babakan, Land use

Judul: Water quality and land use around Sunter 1 Lake, DKI Jakarta
Abstrak: Meningkatnya jumlah penduduk di DKI Jakarta berpotensi menyebabkan terjadinya perubahan tata guna lahan yang berpengaruh terhadap peningkatan jumlah limbah yang dihasilkan di badan air. Salah satu badan air yang terancam tercemar oleh limbah dari aktivitas manusia adalah Danau Sunter 1. Penelitian ini bertujuan menganalisis status kualitas air dan tata guna lahan di sekitar Danau 1, DKI Jakarta. Penelitian ini menggunakan data sekunder kualitas air Danau Sunter 1 tahun 2019, 2021, dan 2022. Penelitian dilakukan selama dua periode dengan tiga titik pengambilan sampel. Status kualitas air Danau Sunter 1 dianalisis menggunakan Indeks Pencemaran (IP), sedangkan data tata guna lahan dianalisis menggunakan software Google Earth Engine (GEE) dan ArcGIS. Kualitas Air Danau Sunter 1 tergolong dalam kategori cemar ringan, cemar sedang dan cemar berat. Lahan terbangun merupakan penggunaan lahan yang memiliki luasan paling mendominasi, sedangkan semak merupakan penggunaan lahan dengan luasan terendah. Tingginya lahan terbangun dikarenakan peningkatan populasi jumlah penduduk di Jakarta Utara yang menyebabkan adanya konversi menjadi lahan terbangun., The increasing population in DKI Jakarta has the potential to cause land use changes that affect the increase in the amount of waste generated in water bodies. This study aims to analyze the status of water quality and land use around Sunter 1 Lake, DKI Jakarta. This study used secondary data on the water quality of Lake Sunter 1 in 2019, 2021, and 2022. The research was conducted over two periods with three sampling points. The water quality status of Sunter 1 Lake was analyzed using the Pollution Index (IP), while land use data was analyzed using Google Earth Engine (GEE) and ArcGIS software. The water quality of Sunter 1 Lake is categorized as lightly polluted, moderately polluted and heavily polluted. Built-up land is the land use that has the most dominating area, while shrubs are the land use with the lowest area. The high amount of built-up land is due to the increase in population in North Jakarta, which has led to conversion to built-up land.
Keyword: water quality, Sunter 1 Lake, land use

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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