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Course Description
Discrete Mathematics is a basic science in informatics learning, because basically informatics is a collection of scientific and technical disciplines that process discrete objects. Discrete mathematics provides a mathematical foundation for courses in algorithms, data structures, databases, computer networks, computer security and so on. The material in this course is Set Theory, Relations and Functions, Graph Theory, Trees.
Program Objectives (PO)
- mahasiswa dapat memahami dan menguasai konsep matematika diskrit
- Mahasiswa mampu Mengembangkan Kemampuan Analisis dan Pemecahan Masalah
- mahasiswa dapat Mengimplementasikan Konsep STEM dan Informatika
- mahasiswa dapat Melatih Keterampilan Logis dan Sistematis
- Mahasiswa mampu Beradaptasi dengan Teknologi Modern
Aktifitas Pembelajaran
-
Pertemuan 1 Mengenal proposisi, konektor logika, tabel kebenaran, dan perbedaan predikat serta quantifier
BUKU MATEMARIKA DISKRIT -
Pertemuan 2 Predikat dan quantifier pada argumen logika
LOGIKA -
Pertemuan 3 Operasi himpunan dan fungsi pada relasi matematika diskrit
HIMPUNAN -
Pertemuan 4 Menganalisis deretan angka dan pola rekursi sederhana
RELASI -
Pertemuan 5 Teknik penyelesaian relasi rekurens
FUNGSI -
Pertemuan 6 Konsep induction and recursion dan konsep counting
INDUKSI MATEMATIKA -
Pertemuan 7 Konsep Discrete Probability dan Advanced Counting Techniques
INDUKSI MATEMATIKA LANJUTAN -
Pertemuan 8 Ujian Tengah Semester (UTS)
KOMNINATORIAL -
Pertemuan 9 Prinsip counting pada penghitungan kombinatorika -
Pertemuan 10 Konsep Relations dan Graphs -
Pertemuan 11 Tree untuk pemodelan masalah
LANJUTAN KOMBINATORIAL DAN PERMUTASI -
Pertemuan 12 Konsep kombinatorika, graf, dan tree pada permasalahan nyata
ALJABAR BOOLEAN -
Pertemuan 13 Konsep logika, himpunan, relasi, dan fungsi ke dalam desain sistem
GRAF 1
GRAF 2 -
Pertemuan 14 Melakukan simulasi sirkuit digital berdasarkan aljabar Boolean
GRAF 3 -
Pertemuan 15 Mereview semua materi
TREE 1 -
Pertemuan 16 Ujian Akhir Semester (UAS)
TREE 2
References
- Kenneth H. Rosen. 2012. Discrete Mathematics and Its Applications Seventh Edition. Monmouth University. Mc Graw Hill.
- Jean Gallier. 2016. Discrete Mathematics, Second Edition In Progress. Springer.
- Seymour Lipschutz. 2007. Theory and Problems of Discrete Mathematics Third Edition. Mc Graw Hill.
- Susanna S. Epp (2011) Discrete Mathematics with Applications (4th Edition). Cengage Learning.
- Richard Johnsonbaugh (2008) Discrete Mathematics (7th Edition). Pearson Prentice Hall.
- Ralph P. Grimaldi (2003) Discrete and Combinatorial Mathematics: An Applied Introduction (5th Edition). Pearson.
Lecturer
Difficult Things About Education.
$75$10
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