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Course Description
In this course, concepts in discrete mathematics will be studied, including logic, basic discrete structures, and combinatorial analysis, which are the basis for advanced topics and their applications in the field of data science. In this way, students will have the learning experience to think critically and be able to make the right decisions regarding the use of these concepts.
Program Objectives (PO)
- Mahasiswa mampu memahami konsep logika proposisi dan implementasinya
- Mahasiswa mampu memahami implementasi ekuivalensi, predikat, kuantor, dan aturan inferensi
- Mahasiswa mampu memahami konsep pembuktian dan induksi matematis
- Mahasiswa mampu memahami konsep himpunan dan fungsi
- Mahasiswa mampu memahami konsep notasi dan counting
- Mahasiswa memahami dan mengimplementasikan konsep dasar graf dan tree
Aktifitas Pembelajaran
-
Pertemuan 1 Konsep logika beserta implementasinya -
Pertemuan 2 Implementasi ekuivalensi proposisi, predikat, dan kuantor -
Pertemuan 3 Konsep kuantor bersarang -
Pertemuan 4 Konsep aturan inferensi -
Pertemuan 5 Konsep aturan inferensi -
Pertemuan 6 Konsep pembuktian langsung -
Pertemuan 7 Konsep Teorema Pembuktian Trivial, Pembuktian Vacuous, Pembuktian Langsung, Pembuktian dengan Kontraposisi -
Pertemuan 8 Ujian Tengah Semester (UTS) -
Pertemuan 9 Pembuktian dengan Kontradiksi, Pembuktian Bikondisional, Pembuktian dengan kasus Counterexample -
Pertemuan 10 Konsep barisan dan deret, prinsip induksi matematika, konsep rekursi -
Pertemuan 11 Konsep himpunan dan fungsi -
Pertemuan 12 Konsep counting -
Pertemuan 13 Konsep Pigeonhole, Binomial dan prinsip inklusi-ekslusi -
Pertemuan 14 Konsep prinsip inklusi-eksklusi -
Pertemuan 15 Konsep graf dan tree beserta implementasinya -
Pertemuan 16 Ujian Akhir Semester (UAS)
References
Lecturer
Difficult Things About Education.
$75$10
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