MAT 2033 • Midterm • Discrete Mathematics
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Kolayca yüksek notlar alabilmen için özenle hazırlanmış video derslerlerimizi izle. Çıkma ihtimali yüksek ve çıkmış soruların soru çözümleriyle sınava en iyi şekilde hazırlan. Hızını sen ayarla. İstediğin yerde hızlandırır, dersleri istediğin kadar tekrar et.
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
🎓 Bahçeşehir Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
MAT 2033 • Final
Discrete Mathematics
İhsan Altundağ
1599 TL
MAT 2033 • Midterm
Discrete Mathematics
İhsan Altundağ
1599 TL
Konular
Propositional Logic
Introduction
Negation of a Proposition
Compound Proposition
Truth Table 1
Truth Table 2
Tautology
Contradiction
Converse Inverse Contrapositive
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Logical Equivalences 1
Logical Equivalences 2
De Morgans' Law
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Practice Problem 5
Practice Problem 6
Predicates and Quantifiers
Universal Quantifiers
Existential Quantifiers
Propositions with Quantifiers I
Propositions with Quantifiers II
Propositions with Quantifiers III
Quantifiers with Multiple Variables I
Quantifiers with Multiple Variables II
Quantifiers with Multiple Variables III
Negation of Quantifiers I
Negation of Quantifiers II
Translations: Introduction
Translation: English to Logic
Translations: Logic to English
Translation of Statements With Multiple Variables
Proof Techniques
Direct Proof
Example 1
Example 2
Example 3
Proof by Contraposition
Example 4
Example 5
Example 6
Proof by Contradiction
Example 7
Example 8
Proof by Counterexample
Example 9
Proofs of Equivalence (if and only if)
Practice Problem
Mathematical Induction
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
Sample Midterm Problems I
Truth Tables 1
Truth Tables 2
Logical Equivalances with Table 1
Logical Equivalances with Table 2
Logical Equivalance with De Morgan's 1
Logical Equivalance with De Morgan's 2
Quantifiers with Multiple Variables 1
Quantifiers with Multiple Variables 2
Quantifiers with Multiple Variables 3
Quantifiers with Multiple Variables 4
Negation of Quantifiers 1
Negation of Quantifiers 2
Translations 1
Translations 2
Translations 3
Translations 4
Valid Argument
Direct Proof 1
Direct Proof 2
Proof by Contrapositive 1
Proof by Contrapositive 2
Proof by Contrapositive 3
Proof by Contradiction 1
Proof by Contradiction 2
Proof by Contradiction 3
Induction for Formulas 1
Induction for Formulas 2
Induction for Formulas 3
Induction Proof for Divisibility 1
Induction Proof for Divisibility 2
Induction for Inequalities
Sets and Functions
Definition and Notation of a Set
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
Proof Example 1
Definition of Function
Example 5
Number of Functions
Injective Functions
Example 6
Example 7
Number of Injective Functions
Surjective Functions
Example 8
Example 9
Bijective Function
Inverse Function
Example 10
Example 11
Sequences & Summation
Definition of Sequence
Arithmetique Sequence
Example 1
Geometric Sequence
Example 2
Sum Notation
Example 3
Cardinality
Definition
Example 1
Countable Sets
Properties of Countable Sets
Example 1
Uncountable Sets
Sample Midterm Problems II
Sets 1
Sets 2
Sets 3
Sets 4
Sets 5
Sets 6
Functions 1
Functions 2
Functions 3
Functions 4
Functions 5
Cardinality 1
Cardinality 2
Function & Summation & Cardinality
Functions & Sets
Functions & Sets & Summation & Cardinality
Functions & Summation
Değerlendirmeler
Henüz hiç değerlendirme yok.
Ders İçeriği
Propositional Logic
Introduction
Negation of a Proposition
Compound Proposition
Truth Table 1
Truth Table 2
Tautology
Contradiction
Converse Inverse Contrapositive
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Logical Equivalences 1
Logical Equivalences 2
De Morgans' Law
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Practice Problem 5
Practice Problem 6
Predicates and Quantifiers
Universal Quantifiers
Existential Quantifiers
Propositions with Quantifiers I
Propositions with Quantifiers II
Propositions with Quantifiers III
Quantifiers with Multiple Variables I
Quantifiers with Multiple Variables II
Quantifiers with Multiple Variables III
Negation of Quantifiers I
Negation of Quantifiers II
Translations: Introduction
Translation: English to Logic
Translations: Logic to English
Translation of Statements With Multiple Variables
Proof Techniques
Direct Proof
Example 1
Example 2
Example 3
Proof by Contraposition
Example 4
Example 5
Example 6
Proof by Contradiction
Example 7
Example 8
Proof by Counterexample
Example 9
Proofs of Equivalence (if and only if)
Practice Problem
Mathematical Induction
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
Sample Midterm Problems I
Truth Tables 1
Truth Tables 2
Logical Equivalances with Table 1
Logical Equivalances with Table 2
Logical Equivalance with De Morgan's 1
Logical Equivalance with De Morgan's 2
Quantifiers with Multiple Variables 1
Quantifiers with Multiple Variables 2
Quantifiers with Multiple Variables 3
Quantifiers with Multiple Variables 4
Negation of Quantifiers 1
Negation of Quantifiers 2
Translations 1
Translations 2
Translations 3
Translations 4
Valid Argument
Direct Proof 1
Direct Proof 2
Proof by Contrapositive 1
Proof by Contrapositive 2
Proof by Contrapositive 3
Proof by Contradiction 1
Proof by Contradiction 2
Proof by Contradiction 3
Induction for Formulas 1
Induction for Formulas 2
Induction for Formulas 3
Induction Proof for Divisibility 1
Induction Proof for Divisibility 2
Induction for Inequalities
Sets and Functions
Definition and Notation of a Set
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
Proof Example 1
Definition of Function
Example 5
Number of Functions
Injective Functions
Example 6
Example 7
Number of Injective Functions
Surjective Functions
Example 8
Example 9
Bijective Function
Inverse Function
Example 10
Example 11
Sequences & Summation
Definition of Sequence
Arithmetique Sequence
Example 1
Geometric Sequence
Example 2
Sum Notation
Example 3
Cardinality
Definition
Example 1
Countable Sets
Properties of Countable Sets
Example 1
Uncountable Sets
Sample Midterm Problems II
Sets 1
Sets 2
Sets 3
Sets 4
Sets 5
Sets 6
Functions 1
Functions 2
Functions 3
Functions 4
Functions 5
Cardinality 1
Cardinality 2
Function & Summation & Cardinality
Functions & Sets
Functions & Sets & Summation & Cardinality
Functions & Summation
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.