IE 231 • Tüm Sınavlar • Introduction to Probability
Bilgi biz geldik! Bu dersle beraber olasılığın temellerini atarken bir yandan da çıkmış sınav soruları ve çözümlü örneklerle beraber sınava hazır hale gel! Dersin içeriğinde bulunan konular: 1) Combinatorial Methods 2) Classical Probability Concept 3) Conditional Probability 4) Bayes' Theorem & Independence 5) Discrete Random Variables and Mathematical Expectation 6) Continuous Random Variables and Mathematical Expectation ve tabii ki sayısız örnek!
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Eğitmenler
Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
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.
Konular
Combinatorial Methods
14 konu anlatımı
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
Classical Probability Concept
11 konu anlatımı
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
Sample Midterm Problems I
8 soru
Counting 1
Counting 2
Counting 3
Counting 4
Axioms of Probability 1
Axioms of Probability 2
Axioms of Probability 3
Axioms of Probability 4
Conditional Probability
8 konu anlatımı
Conditioning Events
Total Probability Rule
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Bayes' Rule and Independence
6 konu anlatımı
Bayes' Rule
Bayes' Rule Example 1
Bayes' Rule Example 2
Independence
Independence Example 1
Independence Example 2
Sample Midterm Problems II
16 soru
Conditional Probability 1
Conditional Probability 2
Conditional Probability 3
Conditional Probability 4
Independence 1
Independence 2
Conditional Probability and Independence
Bayes' Rule 1
Bayes' Rule 2
Bayes' Rule 3
Bayes' Rule 4
Bayes' Rule 5
Bayes' Rule 6
Bayes' Rule 7
Bayes' Rule 8
Bayes' Rule 9
Discrete Random Variables and Mathematical Expectation
12 konu anlatımı
Random Variables
Probability Mass Function
PMF Example 1
PMF Example 2
Cumulative Distribution Function
CDF Example 1
Expected Value
Expected Value Example 1
Expected Value Example 2
Variance
Variance Example 1
Variance Example 2
Continuous Random Variables and Mathematical Expectation
9 konu anlatımı
Probability Density Function - PDF
Example 1
Cumulative Distribution Function - CDF
Example 2
Expected Value
Expected Value - Example 1
Expected Value - Example 2
Variance
Variance - Example 1
Sample Midterm Problems III
19 soru
Discrete Random Variables 1
Discrete Random Variables 2
Discrete Random Variables 3
Discrete Random Variables 4
Discrete Random Variables 5
Discrete Random Variables 6
Discrete Random Variables 7
Discrete Random Variables 8
Discrete Random Variables 9
Continuous Random Variables 1
Continuous Random Variables 2
Continuous Random Variables 3
Continuous Random Variables 4
Continuous Random Variables 5
Continuous Random Variables 6
Continuous Random Variables 7
Continuous Random Variables 8
Continuous Random Variables 9
Continuous Random Variable 10
Some Discrete Probability Distributions: Discrete Uniform, Bernoulli, Binomial
8 konu anlatımı
Bernoulli Distribution - 1
Bernoulli Distribution - 2
Example 3
Example 4
Binomial Distribution - 1
Binomial Distribution - 2
Example 5
Example 6
Some Discrete Probability Distributions: Poisson, Hypergeometric
8 konu anlatımı
Poisson Distribution - 1
Poisson Distribution - 2
Example 1
Example 2
Poisson Approximation to Binomial Distribution
Example 3
Hypergeometric Distribution
Example 4
Sample Final Problems I
15 soru
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Poisson distribution 1
Poisson Distribution 2
Poisson Distribution 3
Poisson distribution 4
Hypergeometric Distribution 1
Hypergeometric Distribution 2
Hypergeometric Distribution 3
Hypergeometric Distribution 4
Geometric Distribution 1
Geometric Distribution 2
Geometric Distribution 3
Discrete Uniform Distribution
Some Continuous Probability Distributions: Uniform, Exponential, Normal, Gamma, Chi-Square
15 konu anlatımı
Uniform Distribution
Example 1
Example 2
Exponential Distribution
Example 3
Example 4
Example 5
Normal Distribution
Standard Normal Distribution
Reading Z Table - Option 1
Reading Z Table - Option 2
Example 6
Gamma Distribution
Example 7
Relation of Gamma Distribution with Others
Sample Final Problems II
14 soru
Continuous Uniform Distribution 1
Continuous Uniform Distribution 2
Continuous Uniform Distribution 3
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Normal Distribution 6
Normal Distribution 7
Exponential Distribution 1
Exponential Distribution 2
Exponential Distribution 3
Exponential Distribution 4
Discrete Joint Probability Distributions
10 konu anlatımı
Probability Mass Function
PMF Example
Marginal PMF and CDF
Expected Value
Variance
Expected Value and Variance Example
Conditional PMF and CDF
Conditional Expectation
End of Topic Example - Part I
End of Topic Example - Part II
Continuous Joint Probability Distributions
8 konu anlatımı
Introduction
Marginal PDF and CDF
Expected Value and Variance
Conditional PDF and CDF
Conditional Expectation
Example 1
Example 2
Example 3
Covariance and Correlation Coefficient
8 konu anlatımı · 3 soru
Covariance
Example 1
Example 2
Example 3
Example 4
Example 5
Variance of Sums
Example 6
Correlation
Example 7
Example 8
Sample Final Problems III
27 soru
Discrete Joint Probability 1
Discrete Joint Probability 2
Discrete Joint Probability 3
Discrete Joint Probability 4
Discrete Joint Probability 5
Discrete Joint Probability 6
Discrete Joint Probability 7
Discrete Joint Probability 8
Discrete Joint Probability 9
Continuous Joint Probability 1
Continuous Joint Probability 2
Continuous Joint Probability 3
Continuous Joint Probability 4
Continuous Joint Probability 5
Continuous Joint Probability 6
Continuous Joint Probability 7
Continuous Joint Probability 8
Continuous Joint Probability 9
Continuous Joint Probability 10
Continuous Joint Probability 11
Covariance 1
Covariance 2
Covariance 3
Covariance 4
Covariance 5
Correlation 1
Correlation 2