Judul: Perencanaan Bendungan Tipe Urugan di Perkebunan Cinta Manis, PT. Perkebunan Nusantara VII, Palembang
Abstrak: Perluasan lahan untuk menambah produktivitas tebu di PT. Perkebunan Nusantara VII mengharuskan pembangunan bendungan sebagai suplai air irigasi. Tujuan penelitian ini adalah pembangunan bendungan yang sesuai dengan RSNI T-01-2002. Analisis hidrologi dimulai dengan menentukan luas DAS, perhitungan curah hujan rencana, debit banjir rencana, kebutuhan air, debit andalan dan perhitungan neraca air. Analisis topografi dimulai dari perhitungan volume tampungan, hubungan antara elevasi, luas dan volume genangan. Penelusuran banjir dilakukan untuk mengetahui MAB untuk menghitung dimensi bendungan. Dimensi bendungan dihitung berdasarkan tinggi jagaan dan lebar mercu bendung, kemudian dilakukan analisis stabilitas bendungan. Berdasarkan hasil perhitungan diketahui total volume tampungan sebesar 92650.96 m3. Tinggi bendungan 3.5 m, lebar mercu 6 m dan lebar bawah tubuh bendungan adalah 23.34 m. Hasil analisis stabilitas aliran filtrasi menunjukkan bahwa terdapat garis depresi aliran yang keluar melalui lereng hilir bendungan sehingga diperlukan drainase kaki. Hasil analisis lereng menunjukkan bahwa angka aman (Fs) untuk longsor lebih besar dari syarat yang ditetapkan sehingga bendungan aman dari bahaya longsor.
Keyword: bendungan, debit, volume, dimensi, stabilitas

Judul: Perencanaan Bangunan Pelimpah pada Embung di Perkebunan Bungamayang PT. Perkebunan Nusantara VII
Abstrak: Pabrik Gula Bungamayang, PT. Perkebunan Nusantara VII is one of the sugar cane plantations that the fulfillment of water use reservoir. There’s problem at Petak 093 Afdeling in Rayon II, where the rain caused reservoir water runoff towards to the inspection so that the path becomes difficult pass. As for the goal of this research is planning a spillway of reservoir design so that the normal storage of reservoir constants. Generally, this research was divided into two steps there were preliminary research (flood discharge analysis) and primary research include the analysis of spillway and open channel. Based on observed and researched at Petak 093 Afdeling 09 Rayon II was gained the 25 years return period of flood discharge is 2.96 m3/s by means of used a double circular culvert each 0.80 m of diameter with a space of 0.40 m. Then the flow of water that pass through the culvert continued toward to the 1.85 m of open channel and 4.70 × 2.00 m of basin.
Keyword: circular culvert, small dam, flood discharge, spillway

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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