# COMP 106 (Fall 23) • Discrete Mathematics for Computer Science and Engineering • Midterm

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Ders Tanıtımı

Introduction

Negation of a Proposition

Conjunction

Disjunction

Conditional Statements : IF

BiConditional : If and only If

Exclusive OR

Truth Table 1

Truth Table 2

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Tautology

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Converse Inverse Contrapositive

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Logical Equivalences & De Morgan's Laws

Logical Equivalences & De Morgan's Laws 2

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Universal Quantifiers

Existential Quantifiers

Truth Value of Propositions with Quantifiers

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Nested Quantifiers

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Negation of Nested Quantifiers

Translations

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Translation of Mathematical Statements

Translation of Statements With Multiple Variables

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Logic Puzzle

Logic Puzzle 2

Direct Proof

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Contrapositive Proof

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Proof by Counterexample

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Existence Proof

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Existence and Uniqueness Proof

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If and Only if Statements

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What is an algorithm?

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Algorithm and Pseudocode 1

Algorithm and Pseudocode 2

Algorithm and Pseudocode 3

Algorithm and Pseudocode 4

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Big-O Notation

Example 1

Example 4

Sum Property of Big-O Notation

Multiplication Property of Big-O Notation

Example 1

Example 2

Big-Omega Notation

Big-Theta Notation

Example 1

Linear Search Algorithm

Binary Search Algorithm

Bubble Sort Algorithm

Introduction

Proof of Formulas by Induction

Example 1

Example 2

Example 3

Example 4

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Proof of Divisibility by Induction

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Example 2

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Proof of Inequality by Induction

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Induction Related to Fibonacci

Strong Induction

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Problem 6

Problem 7

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Problem 8

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Problem 9

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Problem 10

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Problem 11

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Problem 14

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Problem 15

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Problem 16

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Problem 17

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Problem 21

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Problem 22

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Problem 1

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Problem 2

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Problem 3

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Problem 4

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Problem 15

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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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