MAT 2033Discrete MathematicsMidterm I

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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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Contradiction

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

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Translations

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Translation of Mathematical Statements

Translation of Statements With Multiple Variables

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Direct Proof

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Contrapositive Proof

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Proof by Contradiction

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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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Introduction

Proof of Formulas by Induction

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Proof of Divisibility by Induction

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Proof of Inequality by Induction

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Eğitmen

İhsan Altundağİhsan 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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