# MATH 132 • Discrete Mathematics • Midterm

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Ders Tanıtımı

Injective Functions

Example 1

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Example 4

Example 5

Example 6

Example 7

Example 8

Surjective Functions

Example 1

Example 2

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Example 4

Example 5

Example 6

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Bijective Function

Composition of Functions

Example 1

Image of a Set

Example 1

Proof Example For Image of a Function

Preimage of a Set

Example 1

Example 2

Proof Example for Preimage of a Function

Example 1

Definition

Example 1

Countable Sets

Properties of Countable Sets

Example 1

Uncountable Sets

Introduction

Ücretsiz

Proof of Formulas by Induction

Ücretsiz

Example 1

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Example 2

Ücretsiz

Exam-like Question 1

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Proof of Divisibility by Induction

Example 1

Example 2

Exam-like Question 1

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Proof of Inequality by Induction

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Example 2

Example 3

Exam-like Question 1

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Induction Related to Fibonacci

Exam-like Question 1

Strong Induction

Example 1

Definition of Divisibility

Ücretsiz

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Example 2

Example 3

Division Algorithm

Definition of Modular Arithmetic

Example 1

Properties of Modular Arithmetic

Example 1

Example 2

GCD Greatest Common Divisor

LCM Least Commun Multiple

Euclidian Algorithm

Example 1

Bézout Identity

Example 1

Example 2

Example 3

Inverse of a Number in Modular Arithmetic

Fermat's Little Theorem

Solving Linear Congruences

Example 1

Example 2

Chinese Remainder Theorem

Example 1

Example 2

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Example 4

Introduction to Counting

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Combination & Permutation: Intuition

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Combination

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Permutation 1

Permutation 2

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Pigeonhole Principle

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Tüm Soruların PDF'İ

Ücretsiz

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## Eğitmen

İhsan Altundağ
Eğitmen

2007 yılında Galatasaray Üniversitesi Bilgisayar Mühendisliği bölümünden birincilikle mezun olduktan sonra Fransa'da Kriptoloji üzerine Fransa hükümeti tarafından verilen bursla yüksek lisans yaptım. Devamında ikinci kez sınava girerek Boğaziçi Matematik bölümünü de bitirdim. Yaklaşık 15 yıldır üniversite öğrencilerine dersler vermekteyim.

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