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Counting: Standard Models
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
Binomial Coefficients and Identities
Binomial Theorem
Example 1
Example 2
Example 3
Pascal Identity
Combinatorial Proof
Example 4
Past Exams & Sample Midterm Part I
Counting Standard Models 1
Counting Standard Models 2
Counting Standard Models 3
Counting Standard Models 4
Counting Standard Models 5
Counting Standard Models 6 (Spring 2023)
Counting Standard Models 7 (Spring 2023 - Make Up)
Counting Standard Models & Binomial Coefficients 1
Binomial Identities
Combinatorial Proof 1
Counting: Inclusion and Exclusion Principle
Principle Inclusion-Exclusion
Example 1
Example 2
Counting: Distributing Objects into the Boxes
Distributing Objects into Boxes 1
Distributing Objects into Boxes 2
Example 1
Example 2
Example 3
Example 4
Example 5
Exam Like Question 1
Exam Like Question 2
Exam Like Question 3
Counting: The Pigeonhole Principle
Pigeonhole Principle
Example 1
Example 2
Example 3
Example 4
Example 5
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
Past Exams & Sample Midterm Part II
Inclusion-Exclusion Principle 1
Inclusion-Exclusion Principle 2
Inclusion-Exclusion Principle & Distributing Objects 1
Distributing Objects into Boxes 1 (Spring 2023)
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 (Spring 2023 - Make up)
Pigeonhole Principle 1
Pigeonhole Principle 2 (Spring 2023)
Pigeonhole Principle 3
Recurrence Relations 1 (Fall 2022)
Recurrence Relations 2 (Fall 2022)
Recurrence Relations 3 (Fall 2022)
Recurrence Relations 4
Recurrence Relations 5 (Spring 2023)
Recurrence Relations 6 (Fall 2022)
Recurrence Relations 7 (Fall 2022)
Recurrence Relations 8 (Spring 2023)
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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