MGM503 - KOMBINATORIK
(COMBINATORICS)
[ 4 Unit ]
*** Sumber data : SMUP
📖 Sinopsis Kursus / Course Synopsis ▼
Kursus ini memperkenalkan pelajar kepada teknik-teknik asas pengiraan dan pelbagai objek kombinasi. Topik-topik merangkumi prinsip-prinsip asas mengira, struktur kombinasi pilihatur dan gabungan, teorem binomial dan multinomial, hubungan jadi semula, fungsi penjana dan prinsip kemasukan-pengecualian. Beberapa aplikasi kombinatorik juga akan dibincang.
This course introduces students to the fundamental techniques of enumeration and various combinatorial objects. The topics include the basic counting principles, the combinatorial structures of permutations and combinations, binomial and multinomial theorems, recurrence relations, generating functions and the principle of inclusion-exclusion. Some applications of combinatorics will also be discussed.
*** Sumber data : SPBPK
📋 Hasil Pembelajaran Kursus / Course Learning Outcomes (HPK / CLO) ▼
| HPK / CLO | Penerangan HPK / CLO Description | Kaedah Pengajaran / Teaching Method | Pemetaan / Mapping: PLO USM |
Pemetaan / Mapping: LT |
|---|---|---|---|---|
| CLO1 | Describe the combinatorial computation involved in solving problems of permutation and combination | Kuliah | PLO1 | C5 |
| CLO2 | Develop an accurate combinatorial interpretation of verse-form mathematical problems | Kuliah | PLO2 | C6 |
| CLO3 | Prepare a step-by-step explanation to justify the answer for a given problem | Kuliah | PLO5 | A4 |
| CLO4 | Propose a combinatorial problem with detailed solution for a given/chosen topic | Kuliah | PLO9 | A5 |
*** Sumber data : SPBPK
📊 Penilaian / Assessment ▼
| Komponen Penilaian / Assessment Component | Peratusan / Percentage |
|---|---|
| Kerja Kursus / Course Work | 40% |
| Peperiksaan Akhir (PA) / Exam Work | 60% |
*** Sumber data : SMUP