Page 3 - Bahan Ajar Kalkulus Lanjut
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DAFTAR ISI
BAB 1 Fungsi dan Limit Dua Peubah atau Lebih
1.1 Pengertian Fungsi Dua Peubah atau Lebih ...................................................... 1
1.2 Pengertian Limit Fungsi Dua Peubah atau Lebih .......................................... 3
1.3 Kekontinuan Limit Fungsi Dua Peubah atau Lebih ........................................ 4
BAB 2 Turunan Parsial
2.1 Pengertian Turunan Parsial ............................................................................... 6
2.2 Turunan Parsial Orde Tinggi ........................................................................... 9
2.3 Diferensial ....................................................................................................... 10
2.4 Turunan Implisit ................................................................................................ 11
2.5 Aturan Rantai ................................................................................................... 13
2.6 Turunan Berarah ............................................................................................... 15
2.7 Jacobian ............................................................................................................ 22
2.8 Aplikasi Turunan Parsial .................................................................................. 27
2.8.1 Nilai Maksimum dan Minimum ...................................................... 27
2.8.2 Metode Lagrange ............................................................................ 29
BAB 3 Integral Lipat Dua
3.1 Integral Lipat Dua dengan Batas Persegi Panjang ............................................ 33
3.2 Integral Lipat Dua dengan Batas Bukan Persegi Panjang ................................ 36
3.3 Pengubahan Urutan Pengintegralan .................................................................. 39
3.4 Transformasi Integral Lipat Dua pada Koordinat Polar ................................... 42
3.5 Aplikasi Integral Lipat Dua ............................................................................. 44
BAB 4 Integral Lipat Tiga
4.1 Pengertian Integral Lipat Tiga ......................................................................... 48
4.2 Integral Lipat Tiga Pada Koordinat Kartesius .................................................. 48
4.3 Integral Lipat Tiga Pada Tabung ...................................................................... 51
4.4 Integral Lipat Tiga Pada Bola ........................................................................... 53
4.5 Aplikasi Integral Lipat Tiga ............................................................................. 55
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