Judul: Design of a SDGs Lake Water Distribution System to Meet Irrigation Needs in the Education Garden of the Cikabayan Soil Science Department
Abstrak: Sumber daya air yang tersedia di Indonesia sangat melimpah, namun pemanfaatannya masih kurang. Kampus IPB Dramaga memiliki sumber daya air yang melimpah juga. Saat ini bagunan konservasi sumber daya air di Kampus IPB Dramaga belum dimanfaatkan dengan maksimal, salah satunya Danau SDGs. Untuk pemenuhan kebutuhan air tanam pada Kebun Pendidikan Departemen Ilmu Tanah Cikabayan, Danau SDGs dapat dimanfaatkan sebagai penyedia air irigasi. Penelitian ini bertujuan untuk merancang bak penampung air dan sistem penyaluran air dari Danau SDGs untuk penyediaan air irigasi di kebun pendidikan Departemen Ilmu Tanah Cikabayan. Dalam perancangan ini diperlukan kebutuhan irigasi. Kebutuhan air irigasi mempertimbangkan nilai defisit air rata-rata pada periode musim kemarau. Defisit rata-rata air tertinggi pada tahun 2015 sebesar 2,17 mm/hari, sehingga dibutuhkan air sebesar 2,49 mm/hari atau sebesar 69,9 m3/hari untuk lahan seluas 2,8 ha. Penyediaan air untuk irigasi ini menggunakan bak penampung air dengan kapasitas 72 m3. Penyaluran air menggunakan sistem perpipaan. Beda tinggi dari pompa ke bak penampung sebesar 15,472 m. sistem penyaluran air dengan sistem pemompaan denga pompa submersible. Debit operasional pompa sebesar 2,72 l/detik., Water resources available in Indonesia are very abundant, but its utilization is still lacking. The Dramaga IPB campus also has abundant water resources. Currently, the water resources conservation buildings at the Dramaga Campus of IPB have not been fully utilized, one of which is the SDGs lake. To meet the needs of planting water in the Educational Gardens of the Cikabayan Soil Science Department, SDGs lakes can be used as irrigation water providers. This study aims to design a water storage tank and water distribution system from the SDGs lake for irrigation water supply in the Cikabayan Department of Soil Sciences educational garden. In this design required the need for irrigation. The need for irrigation water considers the value of the average water deficit during the dry season. The highest average water deficit in 2015 was 2.17 mm/day, so that 2.49 mm/day or 69.9 m3/day of water is needed for an area of 2.8 ha. Water supply for irrigation uses a water storage tank with a capacity of 72 m3. Distribution of water using a piping system. The height difference from the pump to the reservoir is 15.472 m. water distribution system with a pumping system with a submersible pump. The pump operational debit is 2.72 l/second.
Keyword: irrigation, lake, pump, piping system, reservoirs

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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