# MAT 2033 (Spring 24) • Discrete Mathematics • Midterm I

## Konular

Ders Tanıtımı

Introduction

Ücretsiz

Negation of a Proposition

Ücretsiz

Compound Proposition

Ücretsiz

Truth Table 1

Truth Table 2

Tautology

Converse Inverse Contrapositive

Practice Problem 1

Practice Problem 2

Practice Problem 3

Practice Problem 4

Ücretsiz

Logical Equivalences 1

Logical Equivalences 2

De Morgans' Law

Practice Problem 1

Practice Problem 2

Practice Problem 3

Practice Problem 4

Practice Problem 5

Ücretsiz

Practice Problem 6

Universal Quantifiers

Existential Quantifiers

Propositions with Quantifiers I

Propositions with Quantifiers II

Propositions with Quantifiers III

Quantifiers with Multiple Variables I

Quantifiers with Multiple Variables II

Quantifiers with Multiple Variables III

Negation of Quantifiers I

Negation of Quantifiers II

Translations: Introduction

Translation : English to Logic

Translations : Logic to English

Translation of Statements With Multiple Variables

Direct Proof

Ücretsiz

Example 1

Ücretsiz

Example 2

Ücretsiz

Example 3

Proof by Contraposition

Example 4

Example 5

Example 6

Example 7

Example 8

Introduction

Ücretsiz

Proof of Formulas by Induction

Example 1

Example 2

Example 3

Example 4

Proof of Divisibility by Induction

Example 1

Example 2

Proof of Inequality by Induction

Example 1

Example 2

Truth Tables 1

Ücretsiz

Truth Tables 2

Logical Equivalances with Table 1

Ücretsiz

Logical Equivalances with Table 2

Logical Equivalance with De Morgan's 1

Logical Equivalance with De Morgan's 2

Quantifiers with Multiple Variables 1

Quantifiers with Multiple Variables 2

Ücretsiz

Quantifiers with Multiple Variables 3

Ücretsiz

Quantifiers with Multiple Variables 4

Ücretsiz

Negation of Quantifiers 1

Ücretsiz

Negation of Quantifiers 2

Translations 1

Translations 2

Ücretsiz

Translations 3

Ücretsiz

Translations 4

Translations 5

Ücretsiz

Valid Argument

Direct Proof 1

Ücretsiz

Direct Proof 2

Proof by Contrapositive 1

Proof by Contrapositive 2

Proof by Contrapositive 3

Ücretsiz

Ücretsiz

Ücretsiz

Induction for Formulas 1

Induction for Formulas 2

Induction for Formulas 3

Ücretsiz

Induction Proof for Divisibility 1

Ücretsiz

Induction Proof for Divisibility 2

Induction for Inequalities 1

Induction for Inequalities 2

Direct Proof & Induction 1

Direct Proof & Induction 2

Ücretsiz

Proof by Counterexample

Example 1

Example 2

Proofs of Equivalence (if and only if)

Exam like Question 1

Exam-like Question 2

Existence Proof

Example 1

Example 2

Uniqueness Proof

Example 3

Exam-like Question 1

Exam-like Question 2

## 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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