Judul: Design of a Rainwater Harvesting System to Fill the Reservoir in the SIL Integrated Laboratory, Dramaga Campus of IPB
Abstrak: Pemanenan air hujan merupakan salah satu cara memanfaatkan air hujan dengan cara menampung air hujan dan digunakan untuk berbagai keperluan. Penelitian ini bertujuan membuat rancangan sistem pemanenan air hujan yang bisa digunakan untuk mengisi reservoir yang telah tersedia. Penelitian dilakukan di Laboratorium Terpadu SIL, Kampus IPB Dramaga. Data yang dibutuhkan berupa data luasan atap, volume reservoir eksisting, dan data curah hujan 10 tahun terakhir. Volume curah hujan yang dapat dipanen terbesar yaitu 175,69 m3/bulan dan volume paling kecil sebesar 36,83 m3/bulan. Talang air eksisting berbentuk persegi dengan panjang 40 meter dan lebar 0.3 meter. Pipa tegak galvanis dengan diameter 5 inci yang berjumlah 6 buah. Bak kontrol yang digunakan berukuran 160,5 cm x 90 cm x 100 cm dan terhubung dengan reservoir dengan pipa ukuran 4 inci. Reservoir eksisting berjumlah 2 unit dan ukuran reservoir eksisting yaitu 5,85 meter x 1,3 meter x 1,5 meter dengan volume tampungan 22,83 m3. Sumur resapan akan dibuat dengan diameter 1 m dan kedalaman 2 m dan berjumlah 1 unit. Air hujan yang dipanen dan dikumpulkan dimanfaatkan untuk kebutuhan air kolam pembesaran ikan, Rainwater harvesting is one way to use rainwater by collecting rainwater and using it for various purposes. This study aims to design a rainwater harvesting system that can be used to fill an existing reservoir. The research was conducted at the SIL Integrated Laboratory, Dramaga Campus of IPB. The required data is in the form of roof area, the volume of the existing reservoir, and the form of rainfall data for the last 10 years. The largest volume of rainfall that can be harvested is 175.69 m3/month and the smallest volume is 36.83 m3/month. The existing gutters are square in shape with a length of 40 meters and a width of 0.3 meters. Vertical galvanized pipes with a diameter of 5 inches, totaling 6 pieces. The control tub was 160,5 cm x 90 cm x 100 cm and connected to a reservoir with a 4-inch pipe. There are 2 existing reservoirs and the size of the existing reservoir is 5.85 meters x 1.3 meters x 1.5 meters with a storage volume of 22.83 m3. Infiltration wells will be made with a diameter of 1 m, a depth of 2 m, and a total of 1 unit. Rainwater that is harvested and collected is used for the water needs of fish-rearing ponds
Keyword: Konservasi Air/Water Conservation, Air Hujan/Rainwater, Pemanenan air hujan/Rainwater Harvesting, Reservoir/Reservoir

Judul: Rainwater Harvesting System Design in International  Dormitory of IPB Dramaga Campus
Abstrak: Curah hujan yang tinggi di Bogor mencapai 3500 mm melebihi rata-rata curah hujan nasional antara 2000 – 3000 mm. Pemanenan air hujan cocok untuk dilakukan sebagai langkah konservatif yang dapat dilakukan IPB University dalam upaya pemeliharaan sumber daya air yang berkelanjutan. Penelitian ini bertujuan mengetahui banyaknya suplai air hujan yang dapat dipanen, menghasilkan desain sistem PAH serta RAB instalasinya, dan mengetahui penghematan air serta biaya yang dapat dicapai melalui sistem PAH. Penelitian dilakukan dari Februari – Mei 2024 dengan pengambilan data primer berupa luas atap bangunan dan informasi kebutuhan air bersih, serta data sekunder berupa curah hujan tahun 2000 – 2023 Stasiun BMKG Jawa Barat. Potensi volume air hujan yang dapat dipanen 1230 – 2134 m3 dengan rata-rata suplai 1603 m3 per tahun. Desain sistem pemanenan PAH yang dirancang menggunakan tangki FRP berkapasitas 28 m3 dengan dimensi 7 m x 2 m x 2 m. Talang dipasang dengan kemiringan seragam ½% dan pipa datar dengan kemiringan seragam 1%. Variasi ukuran pipa dan talang yang digunakan antara 1 – 10 inch. Besarnya biaya yang dibutuhkan untuk instalasi PAH sebesar Rp143.000.000,00. Penghematan air aktual yang dapat tercapai melalui sistem PAH sebanyak 44% – 75% dari kebutuhan air tahunan dan menghemat biaya lebih dari 120% dari investasi awal., High rainfall in Bogor reached 3500 mm, exceeding the national average rainfall between 2000 – 3000 mm. Rainwater harvesting is conservative step that IPB University can take to maintain sustainable water resources. This research aims to determine amount of rainwater supply that can be harvested, created PAH system design and installation RAB, and determine water and cost savings that can be achieved through PAH system. The research was conducted from February – May 2024 by collecting primary data of building roof area and information of clean water needs, and secondary data of rainfall from 2000 – 2023 from West Java BMKG Station. Potential harvested volume of rainwater is 1230 – 2134 m3 with average supply 1603 m3 a year. The harvesting system design uses a 28 m3 FRP tank with dimensions 7 m x 2 m x 2 m. The gutter is installed with slope of ½% and the flat pipe with slope of 1%. Variations in pipe and gutter sizes used are between 1 – 10 inches. The cost required for PAH installation is IDR143,000,000.00. Actual water savings that can be achieved through PAH system are 44% – 75% of annual water needs and cost savings of more than 120% of the initial investment.
Keyword: air hujan, ketersediaan air, konservasi air, pemanenan air hujan, rainwater, rainwater harvesting, water availability, water conservation

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
Keyword: