# MATH 154 (Spring 24) • Discrete Mathematics • Midterm

Yeditepe biz geldik ! Math 154 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımlarıyla öğrenecek, sonrasında son yıllardaki Math 154 sınavlarında çıkmış sorularla antreman yapabileceksin.

Bu dersimizde sunduğumuz içerikler sırasıyla: 1) Combination and Permutation 2) Binomial Theorem 3) Discrete Probability 4) Axioms of Probability 5) The Pigeonhole Principle 6) Principle of Inclusion and Exclusion 7) Propositional Logic

4.0

#### En sevilenler

1. 1Ders Organizasyonu
2. 1Yardımcı Örnek Sorular

## Konular

Ders Tanıtımı

Introduction to Counting

Combination & Permutation: Intuition

Combination

Permutation 1

Permutation 2

Binomial Theorem

Example 1

Example 2

Example 3

Pascal Identity

Vandermonde's Identity

Example 4

Combinatorial Proof

Example 5

Axioms of Probability 1

Axioms of Probability 2

Axioms of Probability 3

Axioms of Probability 4

Intuition of Conditional Probability

Conditional Probability 1

Conditional Probability 2

Example 1

Example 2

Total Probability Rule

Ücretsiz

Discrete Random Variables

Expected Value

Variance

Expected Value and Variance Arithmetic

Counting Standard Models 1

Counting Standard Models 2

Counting Standard Models 3

Counting Standard Models 4

Counting Standard Models 5

Counting Standard Models 6

Counting Standard Models 7

Counting Standard Models 8

Ücretsiz

Counting Standard Models & Binomial Coefficients 1

Combinatorial Proof 1

Discrete Probability 1

Discrete Probability 2

Discrete Probability 3

Discrete Probability 4

Discrete Probability 5

Discrete Probability 6

Discrete Probability 7

Pigeonhole Principle

Ücretsiz

Example 1

Example 2

Example 3

Example 4

Example 5

Distributing Objects into Boxes 1

Distributing Objects into Boxes 2

Example 1

Example 2

Example 3

Example 4

Example 5

Principle Inclusion-Exclusion

Example 1

Example 2

Pigeonhole Principle 1

Ücretsiz

Pigeonhole Principle 2

Ücretsiz

Pigeonhole Principle 3

Ücretsiz

Pigeonhole Principle 4

Pigeonhole Principle 5

Combination with Repetition 1

Ücretsiz

Combination with Repetition 2

Combination with Repetition 3

Ücretsiz

Combination with Repetition 4

Combination with Repetition 5

Principle Inclusion - Exclusion 1

Ücretsiz

Principle Inclusion - Exclusion 2

Principle Inclusion - Exclusion & Combination with Repetition

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

Truth Table & Tautology

Logical Equivalances 1

Logical Equivalances 2

Logical Equivalances 3

Logical Equivalances 4

Tautology

Quantifiers 1

Ücretsiz

Quantifiers 2

Quantifiers 3

Quantifiers 4

Ücretsiz

Quantifiers 5

Nested Quantifiers 1

Ücretsiz

Nested Quantifiers 2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

## 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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