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Propositional Logic
Introduction
Negation of a Proposition
Compound Proposition
Truth Table 1
Truth Table 2
Tautology
Contradiction
Converse Inverse Contrapositive
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Propositional Equivalences
Logical Equivalences 1
Logical Equivalences 2
De Morgans' Law
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Practice Problem 5
Practice Problem 6
Predicates and Quantifiers
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 (English <> Logic)
Translations: Introduction
Translation : English to Logic
Translations : Logic to English
Translation of Statements With Multiple Variables
Proof Techniques
Direct Proof
Example 1
Example 2
Example 3
Proof by Contraposition
Example 4
Example 5
Example 6
Proof by Contradiction
Example 7
Example 8
Mathematical Induction
Introduction
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
Past Midterm Problems
Truth Tables 1
Truth Tables 2
Logical Equivalances with Table 1
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
Quantifiers with Multiple Variables 3
Quantifiers with Multiple Variables 4
Negation of Quantifiers 1
Negation of Quantifiers 2
Translations 1
Translations 2
Translations 3
Translations 4
Translations 5
Valid Argument
Direct Proof 1
Direct Proof 2
Proof by Contrapositive 1
Proof by Contrapositive 2
Proof by Contrapositive 3
Proof by Contradiction 1
Proof by Contradiction 2
Proof by Contradiction 3
Proof by Contradiction 4
Induction for Formulas 1
Induction for Formulas 2
Induction for Formulas 3
Induction Proof for Divisibility 1
Induction Proof for Divisibility 2
Induction for Inequalities 1
Induction for Inequalities 2
Direct Proof & Induction 1
Direct Proof & Induction 2
Additional Proof Techniques
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
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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