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Logic Part 1 : Basics
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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Logic Part 2 : Quantifiers
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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Proof Techniques Part 1
Direct Proof
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Contrapositive Proof
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Proof by Contradiction
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Proof Techniques Part 2
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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Proof by Induction
Introduction
Proof of Formulas by Induction
Example 1
Example 2
Example 3
Example 4
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Proof of Divisibility by Induction
Example 1
Example 2
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Proof of Inequality by Induction
Example 1
Example 2
Example 3
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Birebir Midterm Soruları
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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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