MAT 201 • Midterm • Discrete Mathematics
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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.
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Paketi Tamamla
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MAT 201 • Final
Discrete Mathematics
İhsan Altundağ
1199 TL
MAT 201 • Midterm
Discrete Mathematics
İhsan Altundağ
1199 TL
Konular
Propositional Logic
Introduction
Negation of a Proposition
Compound Propositions
Truth Table 1
Truth Table 2
Tautology
Contradiction
Converse Inverse Contrapositive
Practice Problem 1
Practice Problem 2
Logical Equivalences 1
Logical Equivalences 2
De Morgans' Law
Example 1
Practice Problem 3
Practice Problem 4
Universal Quantifiers
Existential Quantifiers
Truth Value of Propositions with Quantifiers
Example 2
Nested Quantifiers
Example 3
Negation of Nested Quantifiers
Example 4
Translations
Example 5
Example 6
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
Proof Techniques
Direct Proof
Example 1
Example 2
Example 3
Proof by Contrapositive
Example 4
Proof by Contradiction
Example 5
Proof By Cases
Example 6
Proofs of Equivalence
Example 7
Sample Midterm Problems I
Truth Table & Tautology
Logical Equivalences
Logical Equivalences
Logical Equivalences
Tautology
Quantifiers
Quantifiers
Quantifiers
Nested Quantifiers
Nested Quantifiers
Translations
Translations
Translations
Rules of Inferences 1
Rules of Inferences 2
Rules of Inferences 3
Direct Proof 1
Direct Proof 2
Direct Proof 3
Direct Proof 4
Proof by Contrapositive 1
Proof by Contrapositive 2
Proof by Contradiction 1
Proof by Contradiction 2
Proof by Cases
Proofs of Equivalence
Sets & 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 & Sum
Definition of Sequence
Arithmetique Sequence
Example 1
Geometric Sequence
Example 1
Sum Notation
Example 1
Sample Midterm Problems II
Proofs & Sets 1
Proofs & Sets 2
Proofs & Sets 3
Proofs & Sets 4 (i ve j ŞIKLARI HARİÇ)
Functions 1
Functions 2
Functions 3
Functions 4
Function & Summation (SADECE 2. ve 3. SORULAR)
Functions & Sets
Functions & Sets & Summation (4. ŞIK HARİÇ)
Functions & Summation
Algorithms and Growth of Functions
Big-O Notation
Example 1
Example 2
Example 3
Example 4
Sum Property of Big-O Notation
Multiplication Property of Big-O Notation
Example 1
Example 2
Big-Omega Notation
Big-Theta Notation
Example 1
Example 2
What is an algorithm?
Algorithm and Pseudocode 1
Algorithm and Pseudocode 2
Algorithm and Pseudocode 3
Linear Search Algorithm
Binary Search Algorithm
Bubble Sort Algorithm
Number Theory
Definition of Divisibility
Example 1
Example 2
Example 3
Division Algorithm
Definition of Modular Arithmetic
Example 1
Properties of Modular Arithmetic
Example 1
Example 2
GCD Greatest Common Divisor
LCM Least Commun Multiple
Euclidian Algorithm
Example 1
Bézout Identity
Example 1
Example 2
Example 3
Inverse of a Number in Modular Arithmetic
Fermat's Little Theorem
Solving Linear Congruences
Example 1
Example 2
Chinese Remainder Theorem
Example 1
Example 2
Example 3
Example 4
Sample Midterm Problems III
Growth of Functions 1
Growth of Functions 2
Growth of Functions 3
Growth of Functions 4
Growth of Functions 5
Algorithms 1
Algorithms 2
Algorithms 3
Algorithms 4
Algorithms 5
Algorithm and Complexity
Algorithm and Complexity
Number Theory 1
Number Theory 2
Number Theory 3
Number Theory 4
Number Theory 5
Number Theory 6
Number Theory 7
Recursion
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 IV
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
Recursion and Induction
Recursive Algorithm
Değerlendirmeler
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.
Ders İçeriği
Propositional Logic
Introduction
Negation of a Proposition
Compound Propositions
Truth Table 1
Truth Table 2
Tautology
Contradiction
Converse Inverse Contrapositive
Practice Problem 1
Practice Problem 2
Logical Equivalences 1
Logical Equivalences 2
De Morgans' Law
Example 1
Practice Problem 3
Practice Problem 4
Universal Quantifiers
Existential Quantifiers
Truth Value of Propositions with Quantifiers
Example 2
Nested Quantifiers
Example 3
Negation of Nested Quantifiers
Example 4
Translations
Example 5
Example 6
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
Proof Techniques
Direct Proof
Example 1
Example 2
Example 3
Proof by Contrapositive
Example 4
Proof by Contradiction
Example 5
Proof By Cases
Example 6
Proofs of Equivalence
Example 7
Sample Midterm Problems I
Truth Table & Tautology
Logical Equivalences
Logical Equivalences
Logical Equivalences
Tautology
Quantifiers
Quantifiers
Quantifiers
Nested Quantifiers
Nested Quantifiers
Translations
Translations
Translations
Rules of Inferences 1
Rules of Inferences 2
Rules of Inferences 3
Direct Proof 1
Direct Proof 2
Direct Proof 3
Direct Proof 4
Proof by Contrapositive 1
Proof by Contrapositive 2
Proof by Contradiction 1
Proof by Contradiction 2
Proof by Cases
Proofs of Equivalence
Sets & 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 & Sum
Definition of Sequence
Arithmetique Sequence
Example 1
Geometric Sequence
Example 1
Sum Notation
Example 1
Sample Midterm Problems II
Proofs & Sets 1
Proofs & Sets 2
Proofs & Sets 3
Proofs & Sets 4 (i ve j ŞIKLARI HARİÇ)
Functions 1
Functions 2
Functions 3
Functions 4
Function & Summation (SADECE 2. ve 3. SORULAR)
Functions & Sets
Functions & Sets & Summation (4. ŞIK HARİÇ)
Functions & Summation
Algorithms and Growth of Functions
Big-O Notation
Example 1
Example 2
Example 3
Example 4
Sum Property of Big-O Notation
Multiplication Property of Big-O Notation
Example 1
Example 2
Big-Omega Notation
Big-Theta Notation
Example 1
Example 2
What is an algorithm?
Algorithm and Pseudocode 1
Algorithm and Pseudocode 2
Algorithm and Pseudocode 3
Linear Search Algorithm
Binary Search Algorithm
Bubble Sort Algorithm
Number Theory
Definition of Divisibility
Example 1
Example 2
Example 3
Division Algorithm
Definition of Modular Arithmetic
Example 1
Properties of Modular Arithmetic
Example 1
Example 2
GCD Greatest Common Divisor
LCM Least Commun Multiple
Euclidian Algorithm
Example 1
Bézout Identity
Example 1
Example 2
Example 3
Inverse of a Number in Modular Arithmetic
Fermat's Little Theorem
Solving Linear Congruences
Example 1
Example 2
Chinese Remainder Theorem
Example 1
Example 2
Example 3
Example 4
Sample Midterm Problems III
Growth of Functions 1
Growth of Functions 2
Growth of Functions 3
Growth of Functions 4
Growth of Functions 5
Algorithms 1
Algorithms 2
Algorithms 3
Algorithms 4
Algorithms 5
Algorithm and Complexity
Algorithm and Complexity
Number Theory 1
Number Theory 2
Number Theory 3
Number Theory 4
Number Theory 5
Number Theory 6
Number Theory 7
Recursion
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 IV
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
Recursion and Induction
Recursive Algorithm
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