Buku Matematika XI IPA Kelas 11 SMA

Materi Matematika XI IPA

vivi Sambutan ........ ........................................................................................................... iii
Kata Pengantar........................................................................................................... iv
Petunjuk Penggunaan............................................................................................... v
Daftar Isi ................................................................................................................... vi
Semester I

Bab 1 Statistika
A Menyajikan Data dalam Bentuk Diagram ............................................... 5
B Penyajian Data dalam Bentuk Tabel Distribusi Frekuensi ...................... 11
C Menghitung Ukuran Pemusatan, Ukuran Letak, dan Ukuran
Penyebaran Data.................................................................................... 20
Rangkuman...................................................................................................... 46
Evaluasi........................................................................................................... 49

Bab 2Peluang
A Aturan Perkalian, Permutasi, dan Kombinasi dalam Pemecahan
Masalah ................................................................................................... 57
B. Ruang Sampel Suatu Percobaan ............................................................. 70
C. Peluang Suatu Kejadian dan Penafsirannya ........................................... 72
Rangkuman...................................................................................................... 81
Evaluasi........................................................................................................... 82

Bab 3 Trigonometri
A Penggunaan Rumus Sinus dan Cosinus Jumlah Dua Sudut,
Selisih Dua Sudut, dan Sudut Ganda ....................................................... 89
B Penurunan Rumus Jumlah dan Selisih Sinus dan Cosinus ....................... 98
C Menggunakan Rumus Jumlah dan Selisih Sinus dan Cosinus ................. 106
Rangkuman...................................................................................................... 108
Evaluasi........................................................................................................... 110

Bab 4 Lingkaran
A Persamaan Lingkaran ............................................................................. 117
B. Persamaan Garis Singgung Lingkaran .................................................... 127
Rangkuman...................................................................................................... 136
Evaluasi........................................................................................................... 137

Semester II
Bab 5 Suku Banyak
A Algoritma Pembagian Suku Banyak ....................................................... 145
B Penggunaan Teorema Sisa dan Teorema Faktor .................................... 154
C. Akar-Akar Rasional dari Persamaan Suku Banyak ............................... 162
Rangkuman...................................................................................................... 165
Evaluasi........................................................................................................... 167

Bab 6Komposisi Fungsi dan Invers Fungsi
A Relasi dan Fungsi .................................................................................... 173
B Aljabar Fungsi......................................................................................... 180
C Fungsi Komposisi.................................................................................... 181
D Fungsi Invers ........................................................................................... 187
Rangkuman...................................................................................................... 193
Evaluasi........................................................................................................... 194

Bab 7 Limit Fungsi
A Pengertian Limit Fungsi di Suatu Titik dan di Tak Hingga ...................... 199
B Sifat Limit Fungsi untuk Menghitung Bentuk Tak Tentu Fungsi
Aljabar dan Trigonometri......................................................................... 205
Rangkuman...................................................................................................... 216
Evaluasi........................................................................................................... 217

Bab 8 Turunan Fungsi
A . Penggunaan Konsep dan Aturan Turunan .............................................. 223
B Penggunaan Turunan untuk Menentukan Karakteristik Suatu
Fungsi...................................................................................................... 237
C Model Matematika dari Masalah yang Berkaitan dengan
Ekstrim Fungsi......................................................................................... 248
D Penyelesaian Model Matematika dari Masalah yang Berkaitan
dengan Ekstrim Fungsi dan Penafsirannya ............................................. 251
E Teorema L’Hopital .................................................................................. 254
Rangkuman...................................................................................................... 255
Evaluasi........................................................................................................... 257

Glosarium................................................................................................................ 261
Notasi Matematika.................................................................................................... 264
Kunci Jawaban........................................................................................................... 266
Daftar Pustaka............................................................................................................ 271
Indeks........................................................................................................................ 272