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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
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
Exam like Question 9
Exam like Question 10
Exam like Question 11
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
Translations
Exam like Question 11
Exam like Question 12
Exam like Question 13
Exam like Question 14
Translation of Mathematical Statements
Translation of Statements With Multiple Variables
Exam like Question 15
Exam like Question 16
Exam like Question 17
Exam like Question 18
Exam like Question 19
Exam like Question 20
Logic Puzzle
Logic Puzzle 2
Arguments
Exam like Question 21
Proof Techniques Part 1
Direct Proof
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam-like Question 4
Exam-like Question 5
Contrapositive Proof
Exam like Question 6
Exam like Question 7
Exam like Question 8
Proof by Contradiction
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Exam-like Question 13
Proof Techniques Part 2
Proof by Counterexample
Exam like Question 1
Exam-like Question 2
Existence Proof
Exam like Question 3
Existence and Uniqueness Proof
Exam-like Question 4
Exam-like Question 5
If and Only if Statements
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam-like Question 10
Sample Midterm Problems I
Logic Basics 1
Logic Basics 2
Logic Basics 3
Logic Basics 4
Logic Basics 5
Logic Basics 6
Logic Basics 7
Translation 1
Translation 2
Translation 3
Translation 4
Quantifiers 1
Quantifiers 2
Quantifiers 3
Quantifiers 4
Quantifiers 5
Quantifiers 6
Proof Techniques 1
Proof Techniques 2
Proof Techniques 3
Proof Techniques 4
Proof Techniques 5
Proof Techniques 6
Proof Techniques 7
Proof Techniques 8
Proof Techniques 9
Proof Techniques 10
Sets
Definition and Notation
Subset
Example 1
Union and Intersection of Two Sets
Difference of Two Sets
Example 1
Symmetric Difference
Example 1
Set Identities
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Generalized Intersections and Unions
Example 1
Example 2
Example 3
Functions
Definition of Function
Example 1
Injective Functions
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Surjective Functions
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Bijective Function
Composition of Functions
Example 1
Inverse Function
Example 1
Example 2
Example 3
Image of a Set
Example 1
Proof Example For Image of a Function
Preimage of a Set
Example 1
Example 2
Example 3
Proof Example for Preimage of a Function
Example 1
Cardinality
Definition
Example 1
Countable Sets
Properties of Countable Sets
Example 1
Uncountable Sets
Sequences and Recurrence Relations
Sequences and Recurrence Relations
Recurrence Relation for Arithmetic Sequences
Recurrence Relation for Geometric Sequences
Sample Midterm Problems II
Sets 1
Sets 2
Sets 3
Sets 4
Sets 5
Sets 6
Sets 7
Functions 1
Functions 2
Functions 3
Functions 4
Functions 5
Functions 6
Recurrence Relations 1
Recurrence Relations 2
Cardinality 1
Cardinality 2
Cardinality 3
Cardinality 4
Cardinality 5
Cardinality 6
Cardinality 7
Sets and Functions
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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