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Algorithms and Pseudocodes
What is an algorithm?
Algorithm and Pseudocode 1
Algorithm and Pseudocode 2
Algorithm and Pseudocode 3
Algorithm and Pseudocode 4
Exam Like Question 1
Exam Like Question 2
Linear Search Algorithm
Binary Search Algorithm
Bubble Sort Algorithm
Growth of Functions and Complexity
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
Sample Final Problems 1
Algorithms 1
Algorithms 2
Algorithms 3
Algorithms 4
Algorithms 5
Algorithms 6
Growth of Functions 1
Growth of Functions 2
Growth of Functions 3
Algorithms and Complexity 1
Algorithms and Complexity 2
Algorithms and Complexity 3
Algorithm and Complexity 4
Algorithm and Complexity 5
Algorithms and Complexity 6
Algorithm and Complexity 7
Proof by Induction
Introduction
Proof of Formulas by Induction
Example 1
Example 2
Example 3
Example 4
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Proof of Divisibility by Induction
Example 1
Example 2
Exam-like Question 1
Exam-like Question 2
Proof of Inequality by Induction
Example 1
Example 2
Example 3
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Induction Related to Fibonacci
Strong Induction
Pigeonhole Principle
Pigeonhole Principle
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Graph Theory
Introduction
Example 1
Graph Terminology
Example 2
Handshaking Theorem
Example 3
Example 4
Special Graphs
Example 5
Example 6
Bipartite Graphs
Example 7
Example 8
Complete Bipartite Graph
Subgraph
Example 10
Subgraph Induced
Edge Contraction
Example 11
Adjacency Matrices - Undirected Graphs
Adjacency Matrices - Directed Graphs
Example 15
Example 16
Incidence Matrices
Example 17
Isomorphism of Graphs
Example 18
Example 19
Example 20
Example 21
Definition of Paths and Circuits
Connected Graphs
Euler Paths and Circuits
Example 22
Hamilton Paths and Circuits
Example 23
Example 24
Sample Final Problems II
Induction 1
Induction 2
Induction 3
Induction 4
Induction 5
Induction 6
Pigeonhole Principle 1
Pigeonhole Principle 2
Pigeonhole Principle 3
Pigeonhole Principle 4
Graphs 1
Graphs 2
Graphs 3
Graphs 4
Graphs 5
Graphs 6
Graphs 7
Graphs 8
Graphs 9
Graphs & Pigeonhole Principle
Selected Questions from Midterm Topics
Logic Basics
Translation
Quantifiers
Sets
Functions
Sets and Functions
Proof Techniques
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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