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Ücretsiz Dersi AlBLM 2521 • Midterm I • Discrete Mathematics
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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
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
Linear Search Algorithm
Binary Search Algorithm
Bubble Sort Algorithm
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
Sample Midterm Problems III
Growth of Functions 1
Growth of Functions 2
Growth of Functions 3
Growth of Functions 4
Growth of Functions 5
Growth of Functions 6
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
Counting: Part 1
Basic Principles of Counting
Counting Examples
Permutations
Permutations Example
Groups and Circular Permutation Example
Identical Objects Example 1
Identical Objects Example 2
Identical Objects Example 3
Combination
n choose r
Committee Example 1
Committee Example 2
Ball Example 1
Ball Example 2
Counting: Part 2
Pigeonhole Principle
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Principle Inclusion-Exclusion
Example 1
Example 2
Distributing Objects into Boxes
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Advanced Counting: 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
Advanced Counting Techniques : Generating Functions
Definition
Example 1
Example 2
Example 3
Example 4
Extended Binomial Theorem
Counting Problems with Generating Functions
Example 5
Example 6
Example 7
Sample Midterm Problems IV
Counting 1
Counting 2
Counting 3
Counting 4
Counting 5
Counting 6
Counting 7
Inclusion-Exclusion Principle 1
Inclusion-Exclusion Principle 2
Inclusion-Exclusion Principle & Distributing Objects 1
Distributing Objects into Boxes 1
Distributing Objects into Boxes 2
Distributing Objects into Boxes 3
Distributing Objects into Boxes 4
Distributing Objects into Boxes 5
Distributing Objects into Boxes 6
Pigeonhole Principle 1
Pigeonhole Principle 2
Pigeonhole Principle 3
Recurrence Relations 1
Recurrence Relations 2
Recurrence Relations 3
Recurrence Relations 4
Recurrence Relations 5
Recurrence Relations 6
Recurrence Relations 7
Recurrence Relations 8
Generating Functions 1
Generating Functions 2
Generating Functions 3
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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