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Ücretsiz Dersi AlCSE 2023 • Midterm • Discrete Computational Structures
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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
Practice Problem 3
Logical Equivalences 1
Logical Equivalences 2
De Morgans' Law
Example 1
Example 2
Example 3
Example 4
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
Exam-like Question 1
Translation of Statements With Multiple Variables
Sample Midterm Problems I
Logic Basics 1
Logic Basics 2
Logic Basics 3
Logic Basics 4
Logic - Quantifiers 1
Logic - Quantifiers 2
Logic - Quantifiers 3
Logic - Quantifiers 4
Logic - Quantifiers 5
Logic - Translation 1
Logic - Translation 2
Logic - Translation 3
Logic - Translation 4
Logic - Translation 5
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
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
Sequences and Summation
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
Proofs & Sets 5
Proofs & Sets 6
Proofs & Sets 7
Functions 1
Functions 2
Functions 3
Functions 4
Sets, Function, Summation 1
Sets, Function, Summation 2
Sets, Function
Proof Techniques: Part 1
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 Techniques: Part 2
Proof by Counterexample
Example 1
Proof By Cases
Example 1
Example 2
Example 3
Proofs of Equivalence
Example 1
Example 2
Sample Midterm Problems III
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
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
Recurrence Relations
Introduction
Homogenous Recurrence Relations
Example 1
Example 2
Example 3
Example 4
Non Homogenous Recurrence Relations
Example5
Example 6
Creating Recurrence Relations
Example 7
Example 8
Example 9
Sample Midterm Problems IV
Induction for Formulas 1
Induction for Formulas 2
Induction for Formulas 3
Induction for Formulas 4
Induction for Formulas 5
Induction Proof for Divisibility 1
Induction Proof for Divisibility 2
Induction for Inequalities 1
Induction for Inequalities 2
Induction for Inequalities 3
Induction with Fibonacci 1
Induction with Fibonacci 2
Recurrence Relations 1
Recurrence Relations 2
Recurrence Relations 3
Recurrence Relations 4
Recurrence Relations 5
Recurrence Relations 6
Recurrence Relations 7
Recurrence Relations 8
Eğitmen
İhsan AltundağEğitmen
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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- Anlamadığın yerleri tekrar et
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