MATH 2103 • Midterm II • Discrete Mathematics
Bu ders ile hem bir sürü soru çözmüş, hem kendini denemiş, hem de konuların püf noktalarını öğrenmiş olacaksın.
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.
Geçme Garantisi
Derslerimize çok güveniyoruz. Dersi geçememen çok zor ama yine de geçemezsen paran iade.
Tüm koşullarPaketi Tamamla
🎓 Işık Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
Konular
Quantifiers and Translations
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
Translation of Statements With Multiple Variables
Rules of Inferences
Valid Argument
Rules of Inferences
Example 1
Example 2
Example 3
Using Rules of Inferences to Build Arguments
Example 4
Sample Midterm Problems I
Quantifiers 1
Quantifiers 2
Quantifiers 3
Quantifiers 4
Quantifiers 5
Quantifiers 6
Quantifiers 7
Translations
Translations
Translations
Rules of Inferences 1
Rules of Inferences 2
Rules of Inferences 3
Proof Techniques
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 Cases
Example 1
Proofs of Equivalence
Example 1
Example 2
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
Example 2
Induction Related to Fibonacci
Strong Induction
Recursive Definition and Structural Induction
Introduction
Recursively Defined Functions
Example 1
Recursively Defined Sets
Example 2
Recursively Defined Strings
Example 3
Structural Induction
Example 4
Example 5
Sample Midterm Problems II
Direct Proof 1
Direct Proof 2
Direct Proof 3
Direct Proof 4
Proof by Contrapositive
Proof by Contrapositive
Proof by Contrapositive
Proof by Contrapositive
Proof by Contradiction
Proof by Contradiction
Proof by Contradiction
Proof by Cases
Proof by Cases
Proofs of Equivalence
Induction for Formulas 1
Induction for Formulas 2
Induction for Formulas 3
Induction for Formulas 4
Induction Proof for Divisibility 1
Induction Proof for Divisibility 2
Induction for Inequalities
Induction with Fibonacci
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 & Summation
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 1
Geometric Sequence
Example 1
Sum Notation
Example 1
Cardinality
Definition
Example 1
Countable Sets
Properties of Countable Sets
Example 1
Uncountable Sets
Sample Midterm Problems III
Sets
Sets
Sets
Sets & Cardinality
Functions
Functions
Functions & Sets
Functions & Sets & Summation
Function & Summation & Cardinality
Function & Summation
Cardinality 1
Cardinality 2
Induction for Formulas 1
Induction for Formulas 2
Induction for Formulas 3
Induction for Formulas 4
Induction Proof for Divisibility 1
Induction Proof for Divisibility 2
Induction for Inequalities
Induction with Fibonacci
Değerlendirmeler
Henüz hiç değerlendirme yok.
Ders İçeriği
Quantifiers and Translations
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
Translation of Statements With Multiple Variables
Rules of Inferences
Valid Argument
Rules of Inferences
Example 1
Example 2
Example 3
Using Rules of Inferences to Build Arguments
Example 4
Sample Midterm Problems I
Quantifiers 1
Quantifiers 2
Quantifiers 3
Quantifiers 4
Quantifiers 5
Quantifiers 6
Quantifiers 7
Translations
Translations
Translations
Rules of Inferences 1
Rules of Inferences 2
Rules of Inferences 3
Proof Techniques
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 Cases
Example 1
Proofs of Equivalence
Example 1
Example 2
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
Example 2
Induction Related to Fibonacci
Strong Induction
Recursive Definition and Structural Induction
Introduction
Recursively Defined Functions
Example 1
Recursively Defined Sets
Example 2
Recursively Defined Strings
Example 3
Structural Induction
Example 4
Example 5
Sample Midterm Problems II
Direct Proof 1
Direct Proof 2
Direct Proof 3
Direct Proof 4
Proof by Contrapositive
Proof by Contrapositive
Proof by Contrapositive
Proof by Contrapositive
Proof by Contradiction
Proof by Contradiction
Proof by Contradiction
Proof by Cases
Proof by Cases
Proofs of Equivalence
Induction for Formulas 1
Induction for Formulas 2
Induction for Formulas 3
Induction for Formulas 4
Induction Proof for Divisibility 1
Induction Proof for Divisibility 2
Induction for Inequalities
Induction with Fibonacci
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 & Summation
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 1
Geometric Sequence
Example 1
Sum Notation
Example 1
Cardinality
Definition
Example 1
Countable Sets
Properties of Countable Sets
Example 1
Uncountable Sets
Sample Midterm Problems III
Sets
Sets
Sets
Sets & Cardinality
Functions
Functions
Functions & Sets
Functions & Sets & Summation
Function & Summation & Cardinality
Function & Summation
Cardinality 1
Cardinality 2
Induction for Formulas 1
Induction for Formulas 2
Induction for Formulas 3
Induction for Formulas 4
Induction Proof for Divisibility 1
Induction Proof for Divisibility 2
Induction for Inequalities
Induction with Fibonacci
Geçme Garantisi
Derslerimize çok güveniyoruz. Dersi geçememen çok zor ama yine de geçemezsen paran iade.
Tüm koşullarSıkça 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.