kuliah-awal.ppt - matematika rekayasa TL 2105 rofiq iqbal...

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matematika rekayasa TL 2105 rofiq iqbal
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What is it all about? Mathematical Modelling Approximation Numerical method
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Motivation Why do we use approximations? They are made up of the simplest functions – polynomials. Numerical method We can differentiate and integrate them very easily. We can use them in cases where we do not know the actual function!
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Why engineering mathematics? Persoalan model matematis banyak muncul di bidang teknik lingkungan Model matematis sering muncul dalam bentuk rumit dan tidak ideal Model matematis tidak dapat diselesaikan dengan metode analitis, yaitu metode penyelesaian model amtematis dengan rumus2 aljabar yang sudah baku
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Metode Analitik Metode sejati, memberi solusi sejati (exact solution), yaitu solusi dengan galat/error = 0 Hanya unggul untuk persoalan terbatas, yaitu yang memiliki tafsiran geometrik rendah Persoalan di dunia nyata seringkali nonlinier dan melibatkan bentuk dan proses yang rumit Nilai praktis penyelesaian metode analitik menjadi terbatas
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