# INDR 201 (Fall 23) • Discrete Mathematical Structure • Midterm I

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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

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Tautology

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Converse Inverse Contrapositive

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Logical Equivalences & De Morgan's Laws

Logical Equivalences & De Morgan's Laws 2

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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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Logic Puzzle

Logic Puzzle 2

Arguments

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Direct Proof

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Contrapositive Proof

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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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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

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Example 3

Definition of Function

Example 1

Injective Functions

Example 1

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Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Surjective Functions

Example 1

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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

What is an algorithm?

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Algorithm and Pseudocode 1

Algorithm and Pseudocode 2

Algorithm and Pseudocode 3

Algorithm and Pseudocode 4

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Linear Search Algorithm

Binary Search Algorithm

Bubble Sort Algorithm

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

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Problem 8

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Problem 9

Problem 10

Problem 11

Problem 12

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Problem 14

Problem 15

Problem 16

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Problem 17

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Question 18

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Problem 19

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Problem 21

Problem 22

Problem 23

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Problem 25

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Problem 26

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Problem 27

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Problem 2

Problem 3

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Problem 6

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Problem 9

Problem 10

Problem 11

Problem 12

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Problem 15

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Problem 17

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Problem 18

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Problem 19

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Problem 21

Problem 22

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Problem 25

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Problem 26

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Problem 27

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Bonus 1

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Bonus 2

## Eğitmen

İhsan 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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