ECON 225 (Spring 24) • Mathematics for Economists • Midterm

Ders Tanıtımı

Introduction

Negation of a Proposition

Compound Propositions

Truth Table 1

Truth Table 2

Tautology

Converse Inverse Contrapositive

Exam like Question 1

Exam like Question 2

Exam like Question 3

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

Universal Quantifiers

Existential Quantifiers

Truth Value of Propositions with Quantifiers

Exam like Question 1

Exam like Question 2

Exam like Question 3

Nested Quantifiers

Exam like Question 4

Exam like Question 5

Ücretsiz

Exam like Question 6

Ücretsiz

Negation of Nested Quantifiers

Exam like Question 7

Translation of Mathematical Statements

Translation of Statements With Multiple Variables

Exam like Question 1

Exam like Question 2

Exam like Question 3

Ücretsiz

Exam like Question 4

Ücretsiz

Exam like Question 5

Exam like Question 6

Direct Proof

Ücretsiz

Example 1

Ücretsiz

Example 2

Ücretsiz

Example 3

Ücretsiz

Example 4

Example 5

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Ücretsiz

Exam-like Question 4

Ücretsiz

Proof by Contraposition

Example 1

Example 2

Example 3

Example 4

Example 5

Exam-like Question 1

Ücretsiz

Exam-like Question 2

Ücretsiz

Exam-like Question 3

Ücretsiz

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Example 12

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

Ücretsiz

Exam-like Question 7

Exam-like Question 8

Proof By Cases

Example 13

Example 14

Existence Proof

Example 1

Example 2

Uniqueness Proof

Example 3

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Proofs of Equivalence

Example 1

Example 2

Example 3

Example 4

Example 5

Exam-like Question 1

Exam-like Question 2

Introduction

Proof of Formulas by Induction

Example 1

Example 2

Example 3

Example 4

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Ücretsiz

Exam-like Question 4

Proof of Divisibility by Induction

Example 1

Example 2

Exam-like Question 1

Exam-like Question 2

Proof of Inequality by Induction

Example 1

Example 2

Example 3

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Ücretsiz

Strong Induction

Example 1

Definition and Notation

Subset

Example 1

Union and Intersection of Two Sets

Difference of Two Sets

Example 2

Symmetric Difference

Example 1

Set Identities

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Power Set

Example 1

Example 2

Cartesian Product

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Generalized Intersections and Unions

Example 1

Example 2

Example 3

Truth Tables

Logical Equivalences 1

Logical Equivalences 2

Logical Equivalence & De Morgans Laws

Quantifiers 1

Ücretsiz

Quantifiers 2

Nested Quantifiers 1

Nested Quantifiers 2

Nested Quantifiers 3

Translations 1

Ücretsiz

Translations 2

Translations 3

Translations 4

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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