# MATH 112 • Discrete Mathematics • Part 1/3

## Konular

Ders Tanıtımı

Introduction

Negation of a Proposition

Compound Propositions

Truth Table 1

Truth Table 2

Tautology

Converse Inverse Contrapositive

Practice Problem 1

Practice Problem 2

Practice Problem 3

Logical Equivalences 1

Logical Equivalences 2

De Morgans' Law

Example 1

Example 2

Example 3

Example 4

Universal Quantifiers

Existential Quantifiers

Truth Value of Propositions with Quantifiers

Example 1

Example 2

Nested Quantifiers

Example 3

Example 4

Negation of Nested Quantifiers

Example 5

Translations

Example 6

Example 7

Exam-like Question 1

Translation of Statements With Multiple Variables

Truth Table & Tautology (Fall 2022)

Logical Equivalances (Spring 2023)

Logical Equivalances (Spring 23: Make-Up)

Logical Equivalances (Summer 2020)

Logical Equivalances (Spring 2017)

Tautology (Fall 2022)

Quantifiers 1

Ücretsiz

Quantifiers 2

Quantifiers (Spring 2023)

Quantifiers (Spring 2023: Make-UP)

Ücretsiz

Quantifiers 3

Nested Quantifiers 1

Ücretsiz

Nested Quantifiers 2

Translations (Fall 2020)

Ücretsiz

Translations (Summer 2020)

Translations (Spring 2019)

Direct Proof

Ücretsiz

Example 1

Ücretsiz

Example 2

Ücretsiz

Example 3

Ücretsiz

Example 4

Proof by Contrapositive

Example 1

Example 2

Example 3

Example 1

Example 2

Proof By Cases

Example 1

Example 2

Example 3

Proofs of Equivalence

Example 1

Example 2

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

Induction Related to Fibonacci

Strong Induction

Direct Proof 1

Direct Proof 2

Direct Proof 3

Direct Proof 4

Proof by Contrapositive (Fall 2020)

Proof by Contrapositive 1

Proof by Contrapositive 2

Proof by Contrapositive 3

Ücretsiz

Ücretsiz

Proof by Cases 1

Proof by Cases 2

Proofs of Equivalence 1

Proofs of Equivalence 2

Proofs of Equivalence 3

Induction for Formulas 1

Induction for Formulas 2 (Fall 2017)

Induction for Formulas 3 (Summer 2020)

Induction for Formulas 4 (Spring 2023)

Ücretsiz

Induction for Formulas 5 (Spring 23: Make-Up)

Induction Proof for Divisibility 1

Induction Proof for Divisibility 2

Direct Proof & Induction (Spring 2023)

Direct Proof & Induction (Spring 23: Make-Up)

Ücretsiz

Induction for Inequalities 1

Induction for Inequalities 2 (Fall 2022)

Induction Proof for Inequalities 3

Induction with Fibonacci (Spring 2019)

Induction with Fibonacci (Fall 2020)

Ücretsiz

Introduction to Counting

Combination & Permutation: Intuition

Combination

Permutation 1

Permutation 2

Binomial Theorem

Example 1

Example 2

Example 3

Pascal Identity

Combinatorial Proof

Example 4

Counting Standard Models 1

Counting Standard Models 2

Counting Standard Models 3

Ücretsiz

Counting Standard Models 4

Counting Standard Models 5

Counting Standard Models 6 (Spring 2023)

Counting Standard Models 7 (Spring 2023 - Make Up)

Counting Standard Models & Binomial Coefficients 1

Combinatorial Proof 1

## 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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