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MATH 132

Discrete and Combinatorial Mathematics

MATH 132 is your introduction to thinking discretely rather than continuously — instead of limits and derivatives, you learn to count carefully, reason about integers and divisibility, and prove things by induction. Expect weekly problem sets and two written midterms plus a final where you'll work through counting arguments, solve recurrences with generating functions, and analyze relations and graphs. It's the mathematical backbone for CS courses like algorithms, data structures, and cryptography, so the techniques you build here will keep resurfacing for years.

Credit3ECTS5FacultyFaculty of ScienceBölümMathematicsPreMATH 101

Değerlendirme 100% — 2 adım

66%
34%
Midterm:Essay/written Midterm 66%
Final:Essay/written Final Exam 34%

Önerilen kaynaklar 1 kitap

📕
Zorunlu
Discrete Mathematics and its Applictaions
Kenneth H. Rosen
2012 · McGraw-Hill

Haftalık müfredat 14 hafta

Hafta 1
Cardinality of sets (2.5.1, ..., 2.5.3)
Hafta 2
Modular arithmetic, primes and greatest common divisor (4.1.1,...,4.1.5, 4.2.4, 4.3.1,...,4.3.4)
Hafta 3
Modular arithmetic, primes and greatest common divisor (4.3.6,...,4.3.8)
Hafta 4
Congruences and their applications (4.4.1,...,4.4.7)
Hafta 5
Congruences and applications (4.6.7, 5.1.1,...,5.1.8)
Hafta 6
Induction (5.2.1,...,5.2.3, 5.2.5)
Hafta 7
Pigeonhole Principle (6.1.1,...,6.1.6, 6.2.1,...,6.2.3, 6.3.1, 6.3.2, 6.3.3,)
Hafta 8
Counting ( 6.4.1, 6.4.2, 6.4.3, 6.5.1,...,6.5.5)
Hafta 9
Advanced Counting Techniques (8.1.1, 8.1.2, 8.2.1, 8.2.2, 8.2.3)
Hafta 10
Advanced counting techniques: (8.3.1, 8.3.2)
Hafta 11
Advanced counting techniques: (8.4.1,8.4.2,8.4.3,8.4.4,8.4.5)
Hafta 12
Advanced counting techniques: (8.5.1,8.5.2,8.6.1,8.6.2,8.6.3,8.6.4,8.6.5)
Hafta 13
Relations: (9.1.1, 9.1.2, 9.1.3, 9.1.4, 9.5.1,9.5.2,9.5.3,9.5.4)
Hafta 14
Relations: (9.6.1,9.6.3,9.6.4)

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Geçmiş GPA dağılımı 43 dönem · ort. 2.29

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2025-2026 Fall 2.25 3 sec · 175 öğr
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Gökhan Yıldırım, Müfit Sezer, Laurence John Barker, Ergün Yalçın, Matthew Gelvin, Özgün Ünlü, Alexandre Klyachko, Ahmet Muhtar Güloğlu, Alexander Goncharov, Natalya Zheltukhina, Hakkı Turgay Kaptanoğlu, Franz Lemmermeyer, Azer Kerimov, Huishi Li, Kostyantyn Zheltukhin