MATH 108 • Final • Discrete and Combinatorial Mathematics
Bu ders ile hem bir sürü soru çözmüş, hem kendini denemiş, hem de konuların püf noktalarını öğrenmiş olacaksın.
Kolayca yüksek notlar alabilmen için özenle hazırlanmış video derslerlerimizi izle. Çıkma ihtimali yüksek ve çıkmış soruların soru çözümleriyle sınava en iyi şekilde hazırlan. Hızını sen ayarla. İstediğin yerde hızlandırır, dersleri istediğin kadar tekrar et.
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.
Geçme Garantisi
Derslerimize çok güveniyoruz. Dersi geçememen çok zor ama yine de geçemezsen paran iade.
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MATH 108 • Final
Discrete and Combinatorial Mathematics
İhsan Altundağ
1299 TL
MATH 108 • Midterm
Discrete and Combinatorial Mathematics
İhsan Altundağ
1299 TL
Konular
Counting
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
Discrete Probability: Part 1
Sample Space and Events
Probability
Axioms of Probability
Some Rules
Coin Example
Dice Example
Card Example 1
Card Example 2
Ball Example
Set Example
Birthday Example
Discrete Probability: Part 2
Conditioning Events
Total Probability Rule
Example 1
Example 2
Example 3
Bayes' Rule
Bayes' Rule Example 1
Bayes' Rule Example 2
Independence
Independence Example 1
Independence Example 2
Sample Final Problems I
Counting 1
Counting 2
Counting 3
Counting 4
Counting 5
Counting 6
Discrete Probability 1
Discrete Probability 2
Discrete Probability 3
Discrete Probability 4
Discrete Probability 5
Conditional Probability and Independence 1
Conditional Probability and Independence 2
Bayes' Rule 1
Bayes' Rule 2
Discrete Random Variables 1
Discrete Random Variables 2
Advanced Counting Techniques
Principle Inclusion-Exclusion
Example
Distributing Objects into Boxes 1
Distributing Objects into Boxes 2
Example 1
Example 2
Example 3
Pigeonhole Principle
Example 1
Example 2
Example 3
Generating Functions
Example 1
Example 2
Extended Binomial Theorem
Counting Problems with Generating Functions
Example 1
Example 2
Recurrence Relations
Homogenous Recurrence Relations
Example 1
Example 2
Non Homogenous Recurrence Relations
Example 3
Example 4
Creating Recurrence Relations
Example 5
Example 6
Relations
Definition of Relation
Example 1
Example 2
Reflexive Relations
Example 3
Example 4
Symmetric Relations
Antisymmetric Relations
Example 5
Transitive Relations
Example 6
Properties of Relations
Example 7
Example 8
Composition of Relations
Equivalence Relation
Example 9
Example 10
Sample Final Problems II
Principle Inclusion Exclusion 1
Principle Inclusion Exclusion 2
Distributing Objects into Boxes 1
Distributing Objects into Boxes 2
Pigeonhole Principle 1
Pigeonhole Principle 2
Pigeonhole Principle 3
Pigeonhole Principle 4
Recurrence Relations 1
Recurrence Relations 2
Recurrence Relations 3
Recurrence Relations 4
Recurrence Relations 5
Recurrence Relations 6
Generating Functions 1
Generating Functions 2
Generating Functions 3
Properties of Relation
Properties of Relation
Equivalence Relation 1
Equivalence Relation 2
Equivalence Relation 3
Graph Theory Part 1
Introduction
Graph Terminology
Handshaking Theorem
Example 1
Special Graphs
Example 2
Bipartite Graphs
Example 3
Example 4
Complete Bipartite Graph
Matching
Subgraph
Example 5
Subgraph Induced
Edge Contraction
Example 6
Complementary Graph
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
Trees
Introduction
Rooted Tree
Terminology for Rooted Trees
Full m-ary Trees
Some Formulas
Sample Final Problems III
Adjacency Matrices
Incidence Matrices
Bipartite Graphs & Euler Circuits
Euler Path, Induced Subgraph & Incidence Matrix
Isomorphism 1
Isomorphism 2
Isomorphism 3
Isomorphism 4
Isomorphism 5
Değerlendirmeler
Henüz hiç değerlendirme yok.
Ders İçeriği
Counting
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
Discrete Probability: Part 1
Sample Space and Events
Probability
Axioms of Probability
Some Rules
Coin Example
Dice Example
Card Example 1
Card Example 2
Ball Example
Set Example
Birthday Example
Discrete Probability: Part 2
Conditioning Events
Total Probability Rule
Example 1
Example 2
Example 3
Bayes' Rule
Bayes' Rule Example 1
Bayes' Rule Example 2
Independence
Independence Example 1
Independence Example 2
Sample Final Problems I
Counting 1
Counting 2
Counting 3
Counting 4
Counting 5
Counting 6
Discrete Probability 1
Discrete Probability 2
Discrete Probability 3
Discrete Probability 4
Discrete Probability 5
Conditional Probability and Independence 1
Conditional Probability and Independence 2
Bayes' Rule 1
Bayes' Rule 2
Discrete Random Variables 1
Discrete Random Variables 2
Advanced Counting Techniques
Principle Inclusion-Exclusion
Example
Distributing Objects into Boxes 1
Distributing Objects into Boxes 2
Example 1
Example 2
Example 3
Pigeonhole Principle
Example 1
Example 2
Example 3
Generating Functions
Example 1
Example 2
Extended Binomial Theorem
Counting Problems with Generating Functions
Example 1
Example 2
Recurrence Relations
Homogenous Recurrence Relations
Example 1
Example 2
Non Homogenous Recurrence Relations
Example 3
Example 4
Creating Recurrence Relations
Example 5
Example 6
Relations
Definition of Relation
Example 1
Example 2
Reflexive Relations
Example 3
Example 4
Symmetric Relations
Antisymmetric Relations
Example 5
Transitive Relations
Example 6
Properties of Relations
Example 7
Example 8
Composition of Relations
Equivalence Relation
Example 9
Example 10
Sample Final Problems II
Principle Inclusion Exclusion 1
Principle Inclusion Exclusion 2
Distributing Objects into Boxes 1
Distributing Objects into Boxes 2
Pigeonhole Principle 1
Pigeonhole Principle 2
Pigeonhole Principle 3
Pigeonhole Principle 4
Recurrence Relations 1
Recurrence Relations 2
Recurrence Relations 3
Recurrence Relations 4
Recurrence Relations 5
Recurrence Relations 6
Generating Functions 1
Generating Functions 2
Generating Functions 3
Properties of Relation
Properties of Relation
Equivalence Relation 1
Equivalence Relation 2
Equivalence Relation 3
Graph Theory Part 1
Introduction
Graph Terminology
Handshaking Theorem
Example 1
Special Graphs
Example 2
Bipartite Graphs
Example 3
Example 4
Complete Bipartite Graph
Matching
Subgraph
Example 5
Subgraph Induced
Edge Contraction
Example 6
Complementary Graph
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
Trees
Introduction
Rooted Tree
Terminology for Rooted Trees
Full m-ary Trees
Some Formulas
Sample Final Problems III
Adjacency Matrices
Incidence Matrices
Bipartite Graphs & Euler Circuits
Euler Path, Induced Subgraph & Incidence Matrix
Isomorphism 1
Isomorphism 2
Isomorphism 3
Isomorphism 4
Isomorphism 5
Geçme Garantisi
Derslerimize çok güveniyoruz. Dersi geçememen çok zor ama yine de geçemezsen paran iade.
Tüm koşullarSıkça Sorulan Sorular
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