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Course Description
This course examines divisibility, bases of numbers, prime numbers and their properties, greatest common factor (GCF) and its properties, Euclid‘s algorithm, least common multiple (LCM) and its properties, relationship between FPB and LCM, congruence and its properties. its nature, linear congruence and its properties through active learning with a combination of lecture, discussion, question and answer methods and IT-assisted assignments. The assessment is determined with proportional weights and is carried out during the learning process with active interactive participation, assignments, mid-semester exams and final semester exams.
Program Objectives (PO)
- Mampu mengembangkan pemikiran matematis yang dimulai dari pemahaman tentang keterbagian, basis bilangan, bilangan prima, faktor persekutuan terbesar, algoritma Euclid, kelipatan persekutuan terkecil, kongruensi, dan kongruensi linier
- Mampu merumuskan masalah yang berkaitan dengan keterbagian, basis bilangan, bilangan prima, faktor persekutuan terbesar, algoritma Euclid, kelipatan persekutuan terkecil, kongruensi, dan kongruensi linier
- Mampu menggunakan metode pencarian solusi dalam menyelesaikan permasalahan matematika terkait keterbagian, basis bilangan, bilangan prima, faktor persekutuan terbesar, algoritma Euclid, kelipatan persekutuan terkecil, kongruensi, dan kongruensi linier
Aktifitas Pembelajaran
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Pertemuan 1 Sifat operasi bilangan bulat, well ordering principle -
Pertemuan 2 Sifat operasi bilangan bulat, well ordering principle -
Pertemuan 3 Merepresentasikan suatu bilangan dalam berbagai basis dan operasinya -
Pertemuan 4 Definisi bilangan prima dan bilangan komposit -
Pertemuan 5 Definisi FPB -
Pertemuan 6 Definisi FPB -
Pertemuan 7 Definisi KPK -
Pertemuan 8 UTS -
Pertemuan 9 Definisi kongruensi bilangan -
Pertemuan 10 Definisi kongruensi bilangan -
Pertemuan 11 Definisi sistem residu lengkap dan tereduksi -
Pertemuan 12 Teorema Euler -
Pertemuan 13 Kongruensi linier satu variable -
Pertemuan 14 Sistem kongruensi linier simultan satu variable -
Pertemuan 15 Sistem kongruensi linier -
Pertemuan 16 UAS
Lecturer
Difficult Things About Education.
$75$10
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