MATH 250 • Midterm I • Discrete Mathematics for Engineering
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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.
Paketi Tamamla
🎓 TED Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
Konular
Propositional Logic
Introduction
Negation of a Proposition
Compound Propositions
Truth Table 1
Truth Table 2
Exam like Question 1
Tautology
Exam like Question 2
Contradiction
Converse Inverse Contrapositive
Exam like Question 3
Logical Equivalences & De Morgan's Laws
Logical Equivalences & De Morgan's Laws 2
Exam like Question 4
Universal Quantifiers
Existential Quantifiers
Truth Value of Propositions with Quantifiers
Exam like Question 5
Nested Quantifiers
Exam like Question 6
Negation of Nested Quantifiers
Exam like Question 7
Translations
Exam like Question 8
Exam like Question 9
Translation of Statements With Multiple Variables
Exam like Question 10
Rules of Inferences
Valid Argument
Rules of Inferences
Example 1
Example 2
Example 3
Using Rules of Inferences to Build Arguments
Example 4
Rules of Inference with Quantified Statements
Rules of Inference with Quantified Statements
Example 1
Example 2
Example 3
Proof Methods
Direct Proof
Example 1
Example 2
Example 3
Example 4
Proof by Contrapositive
Example 1
Example 2
Example 3
Proof by Contradiction
Example 1
Example 2
Proof by Counterexample
Example 1
Proof By Cases
Example 1
Example 2
Proofs of Equivalence
Example 1
Example 2
Sample Midterm Problems I
Logic Basics 1
Logic Basics 2
Logic Basics 3
Logic Basics 4
Logic Basics 5
Logic: Quantifiers 1
Logic: Quantifiers 2
Logic: Quantifiers 3
Logic - Quantifiers 4
Logic - Quantifiers 5
Logic - Quantifiers 6
Logic - Translation 1
Logic - Translation 2
Logic - Translation 3
Logic - Translation 4
Logic - Translation 5
Rules of Inferences 1
Rules of Inferences 2
Rules of Inferences 3
Direct Proof 1
Direct Proof 2
Proof by Contrapositive 1
Proof by Contrapositive 2
Proof by Contradiction 1
Proof by Contradiction 2
Proof by Contradiction 3
Proof by Contradiction 4
Proof by Contradiction 5
Proof by Cases 1
Proofs of Equivalence 1
Proofs of Equivalence 2
Sets
Definition and Notation
Subset
Example 1
Union and Intersection of Two Sets
Difference of Two Sets
Set Identities
Example 2
Power Set
Example 3
Cartesian Product
Example 4
Example 5
Proof Example 1
Proof Example 2
Functions & Sequences
Definition of Function
Example 1
Number of Functions
Injective Functions
Example 2
Example 3
Example 4
Number of Injective Functions
Surjective Functions
Example 5
Example 6
Example 7
Bijective Function
Inverse Function
Example 8
Example 9
Definition of Sequence
Arithmetique Sequence
Example 10
Geometric Sequence
Example 11
Sum Notation
Example 12
Sample Midterm Problems II
Sets 1
Sets 2
Sets 3
Sets 4
Sets 5
Functions 1
Functions 2
Functions 3
Functions 4
Functions 5
Sets & Function
Properties of Relation
Properties of Relation
Equivalence Relation 1
Equivalence Relation 2
Equivalence Relation 3
Equivalence Relation 4
Spring 2025 Midterm 1 Problems
Rules of Inferences
Logic Puzzle
Translation
Sets & Functions
Proof Techniques
Değerlendirmeler
harika
Ders İçeriği
Propositional Logic
Introduction
Negation of a Proposition
Compound Propositions
Truth Table 1
Truth Table 2
Exam like Question 1
Tautology
Exam like Question 2
Contradiction
Converse Inverse Contrapositive
Exam like Question 3
Logical Equivalences & De Morgan's Laws
Logical Equivalences & De Morgan's Laws 2
Exam like Question 4
Universal Quantifiers
Existential Quantifiers
Truth Value of Propositions with Quantifiers
Exam like Question 5
Nested Quantifiers
Exam like Question 6
Negation of Nested Quantifiers
Exam like Question 7
Translations
Exam like Question 8
Exam like Question 9
Translation of Statements With Multiple Variables
Exam like Question 10
Rules of Inferences
Valid Argument
Rules of Inferences
Example 1
Example 2
Example 3
Using Rules of Inferences to Build Arguments
Example 4
Rules of Inference with Quantified Statements
Rules of Inference with Quantified Statements
Example 1
Example 2
Example 3
Proof Methods
Direct Proof
Example 1
Example 2
Example 3
Example 4
Proof by Contrapositive
Example 1
Example 2
Example 3
Proof by Contradiction
Example 1
Example 2
Proof by Counterexample
Example 1
Proof By Cases
Example 1
Example 2
Proofs of Equivalence
Example 1
Example 2
Sample Midterm Problems I
Logic Basics 1
Logic Basics 2
Logic Basics 3
Logic Basics 4
Logic Basics 5
Logic: Quantifiers 1
Logic: Quantifiers 2
Logic: Quantifiers 3
Logic - Quantifiers 4
Logic - Quantifiers 5
Logic - Quantifiers 6
Logic - Translation 1
Logic - Translation 2
Logic - Translation 3
Logic - Translation 4
Logic - Translation 5
Rules of Inferences 1
Rules of Inferences 2
Rules of Inferences 3
Direct Proof 1
Direct Proof 2
Proof by Contrapositive 1
Proof by Contrapositive 2
Proof by Contradiction 1
Proof by Contradiction 2
Proof by Contradiction 3
Proof by Contradiction 4
Proof by Contradiction 5
Proof by Cases 1
Proofs of Equivalence 1
Proofs of Equivalence 2
Sets
Definition and Notation
Subset
Example 1
Union and Intersection of Two Sets
Difference of Two Sets
Set Identities
Example 2
Power Set
Example 3
Cartesian Product
Example 4
Example 5
Proof Example 1
Proof Example 2
Functions & Sequences
Definition of Function
Example 1
Number of Functions
Injective Functions
Example 2
Example 3
Example 4
Number of Injective Functions
Surjective Functions
Example 5
Example 6
Example 7
Bijective Function
Inverse Function
Example 8
Example 9
Definition of Sequence
Arithmetique Sequence
Example 10
Geometric Sequence
Example 11
Sum Notation
Example 12
Sample Midterm Problems II
Sets 1
Sets 2
Sets 3
Sets 4
Sets 5
Functions 1
Functions 2
Functions 3
Functions 4
Functions 5
Sets & Function
Properties of Relation
Properties of Relation
Equivalence Relation 1
Equivalence Relation 2
Equivalence Relation 3
Equivalence Relation 4
Spring 2025 Midterm 1 Problems
Rules of Inferences
Logic Puzzle
Translation
Sets & Functions
Proof Techniques
Sıkça Sorulan Sorular
Örneğin, Koç Üniversitesi - MATH 101 (Calculus) veya başka bir okulun benzer dersi olsun, paketlerimiz tam da o derse göre tasarlanır. Böylece nokta atışı çalışır, zaman kazanırsın.
Sınava özel videolar —konu anlatımları, çıkmış sorular ve çözümleri, özet notlar—içerir. Sınavda sıkça çıkan soruları hedefler. Eğitmenlerimiz, üniversitenin akademik takvimini takip ederek paketleri sürekli günceller. Böylece, gereksiz detaylarla vakit kaybetmeden başarını artırmaya odaklanabilirsin.