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Ücretsiz Dersi AlMATH 230 • Midterm II + Final • Introduction to Probability Theory
Her mühendisliğin temelinde var olan Olasılık ve İstatistik konularının uygulamalarını gördüğümüz bu derste: 1) Data Analysis 2) Probability 3) Random Variables 4) Mathematical Expectation 5) Discrete Probability Distributions 6) Continuous Probability Distributions konularını inceliyoruz.
Sınava yönelik sorular ile konuların en kritik soru tiplerini kolaydan zora çözüp sınavda sürprize yer bırakmıyoruz!
Konular
Joint Probability Distributions
Discrete Joint Random Variables
Discrete Joint RV Example
Marginal PMF and CDF for Discrete Joint RV
Conditional PMF and CDF for Discrete Joint RV
Continuous Joint Random Variables
Marginal PDF and CDF for Continuous Joint RV
Conditional PDF and CDF for Continuous Joint RV
Mathematical Expectation
Expected Value for Discrete RV
Example 1
Example 2
Variance for Discrete RV
Example 3
Example 4
Expected Value for Continuous RV
Example 5
Example 6
Variance for Continuous RV
Example 7
Expected Value for Discrete Joint RV
Variance for Discrete Joint RV
Example 8
Conditional Expectation for Discrete Joint RV
Example 9
Example 10
Expected Value and Variance for Continuous Joint RV
Conditional Expectation for Continuous Joint RV
Example 11
Example 12
Example 13
Covariance
Covariance
Example 1
Example 2
Example 3
Variance of Sums
Example 4
Sample Exam Problems I
Discrete Random Variable 1- Expected Value
Discrete Random Variable 2 - Expected Value
Discrete Random Variable 3 - Variance
Discrete Random Variable 4- Expected Value
Discrete Random Variable 5 - Expected Value
Discrete Random Variable 6 - Expected Value and Variance
Continuous Random Variable 1 - Expected Value
Continuous Random Variable 2 - Expected Value
Continuous Random Variable 3 - Variance
Continuous Random Variable 4 - Expected Value
Continuous Random Variable 5 - Expected Value and Variance
Discrete Joint Distribution 1
Discrete Joint Distribution 2
Discrete Joint Distribution 3
Discrete Joint Distribution 4
Continuous Joint Distribution 1
Continuous Joint Distribution 2
Continuous Joint Distribution 3
Continuous Joint Distribution 4
Continuous Joint Distribution 5
Continuous Joint Distribution 6
Covariance 1
Covariance 2
Covariance 3
Covariance 4
Special Discrete Probability Distributions
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Example 1
Binomial Distribution Part 1
Binomial Distribution Part 2
Example 2
Example 3
Multinomial Distribution
Example 4
Example 5
Hypergeometric Distribution
Example 6
Negative Binomial Distribution Part 1
Negative Binomial Distribution Part 2
Example 7
Example 8
Geometric Distribution Part 1
Geometric Distribution Part 2
Example 9
Example 10
Poisson Distribution Part 1
Poisson Distribution Part 2
Example 11
Example 12
Poisson Approximation to Binomial Distribution
Example 13
Special Continuous Probability Distributions
Continuous Uniform Distribution
Example 1
Example 2
Exponential Distribution
Example 3
Example 4
Memoryless Property
Example 5
Normal Distribution
Standard Normal Distribution
Reading Z Table - Option 1
Reading Z Table - Option 2
Example 6
Sample Exam Problems II
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
Multinomial Distribution 1
Multinomial Distribution 2
Poisson distribution 1
Poisson Distribution 2
Poisson Distribution 3
Poisson distribution 4
Hypergeometric Distribution 1
Hypergeometric Distribution 2
Hypergeometric Distribution 3
Hypergeometric Distribution 4
Discrete Uniform Distribution
Negative Binomial Distribution 1
Negative Binomial - Geometric Distribution
Geometric Distribution 1
Geometric Distribution 2
Geometric Distribution 3
Uniform Distribution 1
Uniform Distribution 2
Uniform Distribution 3
Exponential Distribution 1
Exponential Distribution 2
Exponential Distribution 3
Exponential Distribution 4
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Normal Distribution 6
Normal Distribution 7
Random Sampling - Central Limit Theorem
Sample Mean
Sample Variance
Example 1
Central Limit Theorem
Example 2
Example 3
Example 4
Example 5
Example 6
Normal Approximation to Binomial Distribution
Normal Approximation to Poisson Distribution
Sample Exam Problems III
Central Limit Theorem 1
Central Limit Theorem 2
Central Limit Theorem 3
Central Limit Theorem 4
Central Limit Theorem 5
Central Limit Theorem 6
Central Limit Theorem 7
Normal Approximation to Binomial 1
Normal Approximation to Binomial 2
Eğitmenler
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.
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. 11 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.
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