Buku Wahana Matematika (IPS) Kelas 11 SMA
Kelas | 11 |
Pengarang | Sutrima, Budi Usodo |
Penerbit | Pusat Perbukuan Departemen Pendidikan Nasional |
Tahun | 2009 |
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Materi Wahana Matematika (IPS)
KATA SAMBUTAN ....................................................................................................................iii
KATA PENGANTAR.................................................................................................................. iv
PETUNJUK PENGGUNAAN BUKU....................................................................................... v
DAFTAR SIMBOL DAN NOTASI........................................................................................... vii
DAFTAR ISI................................................................................................................................. viii
BAB I STATISTIKA............................................................................................................ 1
Pengantar...................................................................................................................... 2
1.1 Populasi, Sampel, dan Data Statistika........................................................... 3
1.2 Menyajikan Data dalam Bentuk Tabel dan Diagram................................. 5
1.3 Menyajikan Data dalam Tabel Distribusi Frekuensi.................................. 1 5
1.4 Ukuran Pemusatan (Tendensi Sentral).......................................................... 2 6
1.5 Ukuran Letak........................................................................................................ 3 7
1.6 Ukuran Penyebaran (Dispersi)........................................................................ 4 4
Rangkuman ................................................................................................................... 5 7
Math Info .......................................................................................................................58
Uji Kompetensi ............................................................................................................. 5 9
Soal Analisis................................................................................................................. 6 3
Aktivitas Proyek .......................................................................................................... 6 4
BAB II PELUANG................................................................................................................ 65
Pengantar...................................................................................................................... 6 6
2.1 Aturan Pencacahan............................................................................................ 6 6
2.2 Ruang Sampel dan Kejadian............................................................................ 8 4
2.3 Peluang suatu Kejadian..................................................................................... 8 7
2.4 Peluang Kejadian Majemuk.............................................................................. 9 7
2.5 Peluang Kejadian Bersyarat............................................................................. 1 0 5
Rangkuman ................................................................................................................... 1 0 9
Math Info ....................................................................................................................... 110
Uji Kompetensi ............................................................................................................. 1 1 1
Soal Analisis................................................................................................................. 1 1 4
Aktivitas Proyek .......................................................................................................... 1 1 5
Teka-Teki Matematika ................................................................................................. 1 1 6
LATIHAN ULANGAN UMUM SEMESTER 1...................................................................... 117
BAB III KOMPOSISI FUNGSI DAN INVERS FUNGSI............................................... 125
Pengantar...................................................................................................................... 1 2 6
3.1 Produk Cartesius dan Relasi............................................................................ 1 2 6
3.2 Fungsi atau Pemetaan ........................................................................................ 1 2 9
3.3 Beberapa Fungsi Khusus................................................................................... 1 3 6
3.4 Sifat-sifat Fungsi.................................................................................................. 1 4 4
3.5 Aljabar Fungsi ..................................................................................................... 1 4 8
3.6 Komposisi Fungsi ................................................................................................ 1 5 0
3.7 Menentukan Invers Fungsi............................................................................... 1 5 7
Rangkuman ................................................................................................................... 1 6 3
Math Info ....................................................................................................................... 164
Uji Kompetensi ............................................................................................................. 1 6 5
Soal Analisis................................................................................................................. 1 6 9
Aktivitas Proyek .......................................................................................................... 1 7 0
BAB IV LIMIT FUNGSI....................................................................................................... 171
Pengantar...................................................................................................................... 1 7 2
4.1 Pengertian Limit.................................................................................................. 1 7 2
4.2 Teorema Limit Fungsi Aljabar ......................................................................... 1 8 2
4.3 Laju Perubahan (Pengayaan)........................................................................... 1 8 8
4.4 Limit di Tak Hingga (Pengayaan).................................................................... 1 9 0
Rangkuman ................................................................................................................... 1 9 6
Math Info ....................................................................................................................... 197
Uji Kompetensi ............................................................................................................. 1 9 8
Soal Analisis................................................................................................................. 2 0 1
Aktivitas Proyek .......................................................................................................... 2 0 2
BAB V TURUNAN................................................................................................................ 203
Pengantar...................................................................................................................... 2 0 4
5.1 Turunan Fungsi.................................................................................................... 2 0 4
5.2 Teorema Turunan Fungsi Aljabar................................................................... 2 1 0
5.3 Turunan sebagai Laju Perubahan................................................................... 2 2 1
5.4 Persamaan Garis Singgung Kurva................................................................. 2 2 4
Rangkuman ................................................................................................................... 2 2 8
Math Info ....................................................................................................................... 229
Uji Kompetensi ............................................................................................................. 2 3 0
Soal Analisis................................................................................................................. 2 3 3
Aktivitas Proyek .......................................................................................................... 2 3 4
BAB VI NILAI EKSTRIM FUNGSI DANTEKNIK MEMBUAT GRAFIK FUNGSI 235
6.1 Fungsi Naik dan Fungsi Turun........................................................................ 2 3 6
6.2 Nilai Ekstrim........................................................................................................ 2 4 0
6.3 Ekstrim Mutlak pada Interval Tertutup ........................................................ 2 5 0
6.4 Menggambar Grafik Fungsi Aljabar.............................................................. 2 5 3
6.5 Masalah Pengoptimuman................................................................................. 2 5 6
Rangkuman ................................................................................................................... 2 6 2
Math Info ....................................................................................................................... 263
Uji Kompetensi ............................................................................................................. 2 6 4
Soal Analisis................................................................................................................. 2 6 7
Aktivitas Proyek .......................................................................................................... 2 6 8
Teka-Teki Matematika ................................................................................................. 2 7 0
LATIHAN ULANGAN UMUM SEMESTER 2...................................................................... 271
DAFTAR PUSTAKA................................................................................................................... 279
GLOSARIUM.............................................................................................................................. 281
INDEKS..................................................................................................................................... 283
KUNCI..................................................................................................................................... 287