MATH 204 • Midterm II • Discrete Mathematics
Konular
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
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
Prime Numbers
Example 1
Example 2
Example 3
GCD Greatest Common Divisor
LCM Least Commun Multiple
Example 1
Euclidian Algorithm
Example 1
Bézout Identity
Example 1
Example 2
Example 3
Inverse of a Number in Modular Arithmetic
Fermat's Little Theorem
Sample Midterm Problems I
Complexity 1
Complexity 2
Complexity 3
Complexity 4
Complexity 5
Complexity 6
Number Theory 1
Number Theory 2
Number Theory 3
Number Theory 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 1
Distributing Objects into Boxes 2
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
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 II
Counting 1
Counting 2
Counting 3
Counting 4
Counting 5
Counting 6
Counting 7
Counting 8
Counting & Binomial Coefficients 1
Principle Inclusion - Exclusion 1
Principle Inclusion - Exclusion 2
Pigeonhole Principle 1
Pigeonhole Principle 2
Pigeonhole Principle 3
Pigeonhole Principle 4
Pigeonhole Principle 5
Recurrence Relations 1
Recurrence Relations 2
Recurrence Relations 3
Recurrence Relations 4
Recurrence Relations 5
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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