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Logic Part 1 : Basics
Introduction
Negation of a Proposition
Compound Propositions
Truth Table 1
Truth Table 2
Exam like Question 1
Exam like Question 2
Tautology
Exam like Question 3
Contradiction
Converse Inverse Contrapositive
Exam like Question 4
Exam-like Question 5
Logical Equivalences & De Morgan's Laws
Logical Equivalences & De Morgan's Laws 2
Exam like Question 6
Exam like Question 7
Exam like Question 8
Logic Part 2 : Quantifiers
Universal Quantifiers
Existential Quantifiers
Truth Value of Propositions with Quantifiers
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Nested Quantifiers
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Negation of Nested Quantifiers
Exam like Question 9
Exam like Question 10
Translation of Mathematical Statements
Translation of Statements With Multiple Variables
Exam like Question 11
Exam like Question 12
Exam like Question 13
Exam like Question 14
Sample Midterm Problems I
Logic Basics 1
Logic Basics 2
Logic Basics 3
Logic Basics 4
Logic - Quantifiers 1
Logic - Quantifiers 2
Logic - Quantifiers 3
Logic - Quantifiers 4
Logic - Quantifiers 5
Logic - Translation 1
Logic - Translation 2
Logic - Translation 3
Logic - Translation 4
Logic - Translation 5
Proof Techniques
Direct Proof
Example 1
Example 2
Example 3
Example 4
Proof by Contrapositive
Example 1
Example 2
Example 3
Proof by Contradiction
Example 1
Example 2
Sample Midterm Problems II
Direct Proof 1
Direct Proof 2
Proof by Contrapositive 1
Proof by Contrapositive 2
Proof by Contradiction 1
Proof by Contradiction 2
Proof by Contradiction 3
Proof by Contradiction 4
Proof by Contradiction 5
Sets
Definition and Notation
Subset
Example 1
Union and Intersection of Two Sets
Difference of Two Sets
Set Identities
Example 2
Power Set
Example 3
Cartesian Product
Example 4
Example 5
Proof Example 1
Proof Example 2
Functions
Definition of Function
Example 1
Number of Functions
Injective Functions
Example 2
Example 3
Example 4
Number of Injective Functions
Surjective Functions
Example 5
Example 6
Example 7
Bijective Function
Inverse Function
Example 8
Example 9
Sample Midterm Problems III
Sets 1
Sets 2
Proofs & Sets 1
Proofs & Sets 2
Proofs & Sets 3
Proofs & Sets 4
Proofs & Sets 5
Functions 1
Functions 2
Functions 3
Functions 4
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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