INDR 201 (Spring 24)Discrete Mathematical StructureMidterm

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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

Exam like Question 1

Ücretsiz

Exam like Question 2

Ücretsiz

Tautology

Exam like Question 3

Contradiction

Converse Inverse Contrapositive

Exam like Question 4

Exam-like Question 5

Ücretsiz

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

Ücretsiz

Exam like Question 11

Universal Quantifiers

Existential Quantifiers

Truth Value of Propositions with Quantifiers

Exam like Question 1

Exam like Question 2

Ücretsiz

Exam like Question 3

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Nested Quantifiers

Exam like Question 5

Exam like Question 6

Ücretsiz

Exam like Question 7

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Negation of Nested Quantifiers

Exam like Question 9

Exam like Question 10

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Translations

Exam like Question 11

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Exam like Question 12

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Exam like Question 14

Translation of Mathematical Statements

Translation of Statements With Multiple Variables

Exam like Question 15

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Ücretsiz

Exam like Question 18

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Logic Puzzle

Logic Puzzle 2

Arguments

Exam like Question 21

Direct Proof

Ücretsiz

Exam like Question 1

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Exam-like Question 4

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Exam-like Question 5

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Contrapositive Proof

Exam like Question 6

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Exam like Question 8

Proof by Contradiction

Exam like Question 9

Exam like Question 10

Ücretsiz

Exam like Question 11

Exam like Question 12

Exam-like Question 13

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

Ücretsiz

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

Logic Basics 1

Ücretsiz

Logic Basics 2

Logic Basics 3

Logic Basics 4

Ücretsiz

Logic Basics 5

Logic Basics 6

Logic Basics 7

Ücretsiz

Translation 1

Ücretsiz

Translation 2

Ücretsiz

Translation 3

Translation 4

Quantifiers 1

Quantifiers 2

Ücretsiz

Quantifiers 3

Quantifiers 4

Ücretsiz

Quantifiers 5

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Quantifiers 6

Ücretsiz

Proof Techniques 1

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Proof Techniques 2

Proof Techniques 3

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Proof Techniques 4

Proof Techniques 5

Proof Techniques 6

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Proof Techniques 7

Proof Techniques 8

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Proof Techniques 9

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Proof Techniques 10

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

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

Definition

Example 1

Countable Sets

Properties of Countable Sets

Example 1

Uncountable Sets

Sequences and Recurrence Relations

Recurrence Relation for Arithmetic Sequences

Recurrence Relation for Geometric Sequences

Sets 1

Sets 2

Sets 3

Sets 4

Sets 5

Sets 6

Ücretsiz

Sets 7

Functions 1

Ücretsiz

Functions 2

Ücretsiz

Functions 3

Functions 4

Ücretsiz

Functions 5

Functions 6

Recurrence Relations 1

Recurrence Relations 2

Cardinality 1

Cardinality 2

Ücretsiz

Cardinality 3

Ücretsiz

Cardinality 4

Ücretsiz

Cardinality 5

Cardinality 6

Cardinality 7

Sets and Functions

Ücretsiz

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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