Judul: Model Rain Garden dalam Mewujudkan Green Campus 2020 di IPB Dramaga, Bogor
Abstrak: Kebijakan mengenai penggunaan air baku di Kampus IPB Darmaga hanya melalui pengolahan Sungai Cihideung dan Sungai Ciapus. Pengolahan air sungai tidak selalu dapat diunggulkan karena kualitas dan kuantitas air sungai tidak stabil. Rain garden adalah solusi yang tepat sebagai penyedia air baku alternatif di Kampus IPB Darmaga melalui pemanenan air hujan. Tujuan penelitian adalah untuk memetakan lokasi rain garden berdasarkan penggunaan lahan sekitar Danau I IPB dan membuat model rain garden yang mendukung pemanenan air hujan. Penelitian ini menggunakan metode analisis tutupan lahan dan potensi genangan limpasan air hujan untuk menentukan lokasi rain garden, selain itu analisis kesesuaian tanaman juga digunakan untuk menyesuaikan fungsi tanaman dan karakteristik lokasi rain garden. Hasil penelitian ini berupa model rain garden yang mendukung pemanenan air hujan di IPB Kampus Darmaga, sehingga dapat dijadikan referensi bagi pengelola kampus untuk mengembangkan area terbuka biru yang produktif dalam mewujudkan Green campus 2020. KataKunci: kampushujau, pemanenan air, ruangterbukabiru, taman hujan, he policy regarding the use of raw water at Darmaga Campus of IPB is only through the treatment of Cihideung’s River and Ciapus’s River water. River water treatment cannot always be seeded because the quality and quantity of river water is unstable. Rain garden is the right solution as an alternative provider of raw water on the Darmaga Campus of IPB through rainwater harvesting. The research objectives is to map and review the function of the blue open space at the Darmaga campus of IPB and to create an alternative model of rain garden that supports rainwater harvesting. This research uses land cover and slope analysis methods to determine the location of the rain garden, besides that plant suitability analysis is also used to adjust plant functions and characteristics of rain garden locations. The results of this research are in the form of a rain garden model that is suitable for the Darmaga Campus IPB landscape, so it can be used as a reference for campus managers to develop a blue open area in realizing Green campus 2020. Keywords: blue open space, green campus, rain garden, water harvesting.
Keyword: blue open space, green campus, rain garden, water harvesting

Judul: Rancangan Sistem Penampungan Air Hujan Pada Bangunan Hijau Di Kampus IPB Dramaga Bogor
Abstrak: Indonesia merupakan negara beriklim tropis dengan curah hujan rata-rata yaitu antara 2.000-4.000 mm/tahun (KLH 2009). Potensi air hujan yang tinggi belum termanfaatkan secara optimal. Siklus hidrologi memegang peranan penting dalam menjaga ketersediaan air di permukaan bumi. Penelitian ini bertujuan menyusun desain penampungan air hujan, menghitung kebutuhan air domestik, dan menghitung persentase kebutuhan air domestik yang disuplai dari air hujan pada gedung kuliah baru IPB. Penelitian ini menggunakan data curah hujan harian 10 tahun terakhir, yaitu dari tahun 2010-2019 dengan acuan SNI 03-7065-2005 dan SNI 8153:2015. Hasil penelitian ini berupa Ground Water Tank (GWT) berukuran 6 x 4,5 x 4,5 x 0,3 m dengan kapasitas 121,92 m3 yang dapat memenuhi kebutuhan air gedung sebesar 78,90 %. Penelitian ini menggunakan sistem atap sebagai catchment area dari ground water tank. Debit andalan yang didapat berdasarkan luas area atap sebesar 53,65 m3. Penilaian Greenship kategori aspek konservasi air memperoleh poin sebesar 17 poin dari total 21 poin yang tersedia dengan dua tolak ukur prasyarat. Rancangan Anggaran Biaya (RAB) pembuatan ground water tank di gedung kuliah baru IPB sebesar Rp 347.905.662., Indonesia is a tropical country with an average rainfall of 2,000-4,000 mm/year (KLH 2009). The high potential of rainwater has not been utilized optimally. The hydrological cycle plays an important role in maintaining the availability of water on the earth's surface. This study aims to develop a rainwater storage design, calculate domestic water needs, and calculate the percentage of domestic water needs supplied from rainwater in the new IPB lecture building. This study uses daily rainfall data for the last 10 years, namely from 2010-2019 with reference to SNI 03-7065-2005 and SNI 8153:2015. The results of this study are Ground Water Tank (GWT) measuring 6 x 4,5 x 4,5 x 0.3 m with a capacity of 121,92 m3 which can meet the building's water needs of 82,90%. This study uses a roof system as a catchment area of the ground water tank. The mainstay discharge obtained based on the roof area is 53,65 m3. The Greenship assessment in the water conservation aspect category received 17 points out of a total of 21 points available with two prerequisite benchmarks. The Draft Budget (RAB) for the construction of a ground water tank in the new lecture building of IPB amounted to Rp 347.905.662.
Keyword: clean water needs, water conservation, rainwater storage

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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