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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
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
Binomial Theorem
Example 1
Example 3
Example 2
Pascal Identity
Vandermonde's Identity
Example 1
Combinatorial Proof
Example 1
Principle Inclusion-Exclusion
Example 1
Example 2
Distributing Objects into Boxes
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Pigeonhole Principle
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Sample Final Problems I
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
Pigeonhole Principle 4
Pigeonhole Principle 5
Number Theory 1
Number Theory 2
Number Theory 3
Number Theory 4
Number Theory 5
Number Theory 6
Number Theory 7
Number Theory 8
Number Theory 9
Number Theory 10
Number Theory 11
Number Theory 12
Relations
Definition of Relation
Example 1
Example 2
Example 3
Example 4
Reflexive Relations
Example 5
Example 6
Symmetric Relations
Antisymmetric Relations
Example 7
Transitive Relations
Example 8
Properties of Relations
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Equivalence Relation
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
Example 22
Example 23
Graph Theory Part 1
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
Matching
Example 9
Subgraph
Example 10
Subgraph Induced
Edge Contraction
Example 11
Complementary Graph
Example 12
Example 13
Example 14
Graph Theory Part 2
Adjacency Matrices - Undirected Graphs
Adjacency Matrices - Directed Graphs
Example 1
Example 2
Incidence Matrices
Example 3
Isomorphism of Graphs
Example 4
Example 5
Example 6
Example 7
Definition of Paths and Circuits
Connected Graphs
Euler Paths and Circuits
Example 8
Hamilton Paths and Circuits
Example 9
Example 10
Sample Final Problems II
Relations 1
Relations 2
Relations 3
Graphs 1
Graphs 2
Graphs 3
Graphs 4
Graphs 5
Graphs 6
Graphs 7
Graphs 8
Graphs 9
Graphs 10
Graphs 11
Graphs 12
Graphs 13
Graphs 14
Graphs 15
Graphs 16
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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