Judul: Integration of Planning for Domestic Wastewater Distribution System and Surakarta City Rainwater Runoff
Abstrak: Sistem penyaluran air limbah domestik secara terpusat merupakan salah satu upaya Pemerintah Kota Surakarta untuk mereduksi pencemaran air di badan air. Namun, capaian pelayanan pengolahan air limbah sistem terpusat pada tahun 2020 sebesar 16,62% atau 17.322 (SR). Tujuan penelitian ini merencanakan ulang sistem penyaluran air limbah dengan mengintegrasikan air hujan menuju bangunan penggelontor dan evaluasi sistem penyaluran air limbah Kota Surakarta. Data penelitian berupa data sekunder yang diperoleh dari instansi terkait, studi pustaka, dan hasil penelitian sebelumnya. Kota Surakarta direncanakan sebanyak 528 blok terbagi menuju IPAL Mojosongo, IPAL Pucangsawit, dan IPAL Semanggi secara berturut-turut 171 blok, 169 blok, dan 188 blok. Nilai debit puncak di IPAL Mojosongo, Pucangsawit, dan Semanggi secara berturut turut 1268,95 L/detik, 864,82 L/detik, dan 1697,12 L/detik. Diameter pipa inlet IPAL Mojosongo, IPAL Pucangsawit, IPAL Semanggi berturut-turut sebesar 1.200 mm, 1.600 mm dan 1.600 mm. Perencanaan sistem drainse untuk memenuhui kebutuhan debit penggelontoran. Bangunan penggelontor sebanyak 134 bangunan. Evaluasi berdasarkan perencanaan terjadi perubahan diameter pipa dan perlu adanya penambahan unit pengolahan air limbah agar dapat memenuhi debit inlet, The domestic wastewater distribution system is one of the Surakarta City Government's efforts to reduce water pollution in water bodies. However, the achievement of wastewater treatment services in 2020 was 16.62%, or 17,322 (SR). The purpose of this study is to plan a wastewater system by integrating rainwater from flushing buildings and evaluating the wastewater distribution system of Surakarta City. Research data in the form of secondary data obtained from relevant agencies, literature studies, and the results of previous research. Surakarta is planned for 528 blocks divided into Mojosongo WWTP, Pucangsawit WWTP, and Semanggi WWTP, respectively, 171 blocks, 169 blocks, and 188 blocks. The peak discharge values at Mojosongo, Pucangsawit, and Semanggi WWTPs are 1268.95 L/sec, 864.82 L/sec, and 1697.12 L/sec, respectively. The inlet diameters of the Mojosongo WWTP, Pucangsawit WWTP, and Semanggi WWTP are 1,200 mm, 1,600 mm, and 1,600 mm, respectively. Planning a drainage system to meet the needs of flushing discharge. There are 134 flushing buildings. The evaluation is based on the planning that there is a change in the pipe diameter and it is necessary to add a wastewater treatment unit to meet the inlet discharge.
Keyword: Domestic wastewater, drainage, flushing, sawerage system

Judul: Perencanaan Sistem Penyaluran Air Limbah Domestik Kota Bekasi
Abstrak: Sewerage system for domestic wastewater is an important part of city infrastructure particularly to prevent environmental pollution. This research aimed to design domestic wastewater sewer system for Bekasi City. This system would convey wastewater towards wastewater treatment plant (WWTP) and communal septic tank (CST). This research used secondary data from related agencies, literature study, and previous research’s result. The method used was off site wastewater treatment plant. Based on analysis result area, area in North Bekasi would use WWTP and in South Bekasi would used CST. Sewerage system for domestic wastewater towards WWTP has been designed to serve 292 blocks. This system need 4 units WWTP. Two units of WWTP were equiped with 3 units drop manhole and every WWTP was equiped with 16-24 pumps. Sewerage system for domestic wastewater towards CST has been designed to serve 43 blocks. This system need 5 units CST. Three units of CST were equiped with 5 units of drop manhole and every CST was equiped with 2-5 pumps.
Keyword: Bogor Agricultural University (IPB), wastewater treatment plant., manhole, domestic wastewater, communal septic tank, discharge

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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