Judul: Peningkatan Kualitas Air Menggunakan Biofiltrasi dengan Media Pasir Kuarsa dan Botol AMDK
Abstrak: Biofiltration is a process that can be used to improve the quality of the raw water biologically. This study aimed to determine the effectiveness of biofiltration using media of quartz sand and drinking water bottles, as well as to evaluate the effect of ammonium loading on the ability of biofilters to reduce ammonium, nitrate, phosphate, organic compounds, pH changes, color and turbidity. Based on testing characterization raw water and according to PP. No. 82 / 2001 that raw water quality belong to the groups II. Acclimatization is a process of microorganisms in the press biofiltrasi. . Biofiltration using sand medium test reduced ammonium from 60,48 into 25,45 mg/L, nitrate from 1,8 to 1,74 mg/L, phosphate from 0,36 to 0,29 mg/L, organic compounds from 9,79 to 6,36 mg/L, the color from 30 to 24 PtCo, TSS from 17 to 8 mg/L and turbidity from 17 to 13 FTU. Whereas, biofiltration using drinking water bottles media reduced ammonium from 60,48 into 35,56 mg/L, increasing nitrate from 1,8 to 2,4 mg/L, reduce phosphate from 0,36 to 0,34 mg / L, reduce organic compounds 9,79 to 5,72 mg/L , the color of 30 to 18 PtCo, TSS from 17 to 6 mg/L, and turbidity from 17 to 8 FTU. Biofiltration process could lower the water quality fluctuation and save coagulant material costs. The application of the medium sand biofiltration reactor capable of coagulant material savings of Rp 1.588.673.986 per year, while media Rp 1.418.311.317 bottles of drinking water per year. The use of the medium sand biofiltration reactor is recommended for use in water treatment plants IPB Dramaga, Bogor
Keyword: raw water, quartz sand, drinking water bottled, biofiltration

Judul: Optimasi Perancangan Biofiltrasi Media Potongan Botol Air Minum Dalam Kemasan dalam Upaya Peningkatan Kualitas Air Baku
Abstrak: Industri pengolahan air bersih dan air minum umumnya menggunakan air baku dari air sungai yang telah tercemar senyawa organik. Upaya perbaikan kualitas air baku ini dapat dilakukan dengan teknik biofiltrasi. Penelitian ini bertujuan untuk praperancangan biofiltrasi media AMDK dan mengetahui kondisi optimum proses biofilterasi. Pengolahan air baku dengan biofilter media AMDK telah dilakukan pada skala pilot plant dengan volume total biorekator 1000 L dan sistem downflow. Volume media AMDK yang digunakan dalam reaktor bervolume 68,4 L dengan luas permukaan sebesar 75,09 cm2/g. Proses aklimatisasi tercapai selama 35 hari dan kualitas air baku meningkat seperti TSS, warna, COD, dan kekeruhan. Setelah aklimatisasi, dilakukan optimasi kondisi proses biofiltrasi dengan menggunakan metode respon permukaan dengan dua faktor yaitu waktu tinggal hidrolik (WTH) dan rasio resirkulasi (Qr/Qi). Hasil optimasi proses menunjukkan bahwa kondisi WTH dan rasio resirkulasi berpengaruh terhadap penghilangan cemaran air baku, seperti COD, amonium, warna dan kekeruhan. Kondisi optimum proses biofiltrasi ini tercapai pada WTH 3,0 jam dan rasio resirkulasi sebesar 0,95.
Keyword: biofiltrasi, botol AMDK, optimasi, pengolahan air baku

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: