MAT100 - ASAS MATEMATIK
(MATHEMATICAL FOUNDATIONS)
[ 4 Unit ]
*** Sumber data : SMUP
📖 Sinopsis Kursus / Course Synopsis ▼
Memperkenalkan logik (pernyataan, penghubung, pengkuantiti), teori set, dan pembuktian formal. Meliputi kaedah langsung, kontrapositif, kontradiksi, pembahagian kepada kes, contoh balas, dan aruhan, diaplikasikan pada integer, nombor nyata, set, dan fungsi, termasuk pembuktian pernyataan berkuantiti sejagat dan kewujudan.
Introduces logic (statements, connectives, quantifiers), set theory, and formal proofs. Covers direct, contrapositive, contradiction, division into cases, counterexamples, and induction, applied to integers, real numbers, sets, and functions, including proving universally and existentially quantified statements.
*** 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 | Analyse mathematical statement and proof with logical match | Kuliah & Tutorial | PLO1 | C4 |
| CLO2 | Write logical statement, set and complete proof for each proving method related to numbers, sets and functions | Kuliah & Tutorial & Perbincangan | PLO2 | C6 |
| CLO3 | Deliver ideas to solve problems related to logic and method of proving | Kuliah & Tutorial & Perbincangan | PLO5 | A3 |
| CLO4 | Display the effort to search and learn from the textbook in order to start and execute a task on logic and proving method | Kuliah & Tutorial & Perbincangan | PLO9 | A4 |
*** 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