Mühendisliğin pek çok dersinde karşına çıkacak Olasılık ve İstatistik kavramlarını tanımak için eşsiz bir fırsat karşında! Bu derste Olasılık kavramını hayatın içerisinden çıkardığımızı ve yavaş yavaş bir bilim haline getirdiğimize tanıklık edeceksin.
Dersin sonunda ise bu Olasılık temellerini kullanarak istatistiksel tahminler ve testler yapabileceksin.
Probability Terminology, Theorems and Rules
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
Conditional Probability, Bayes' Rule and Independence
Conditioning Events
Total Probability Rule
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Bayes' Rule
Bayes' Rule Example 1
Bayes' Rule Example 2
Independence
Independence Example 1
Independence Example 2
Sample Midterm Problems I
Probability 1
Probability 2
Probability 3
Probability 4
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
Discrete Random Variables and Expectation
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 Expectation
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
Moment Generating Functions
Introduction
Formulas
Properties
Example 1
Example 2
Example 3
Example 4
Example 5
Sample Midterm Problems II
Discrete Random Variables 1
Discrete Random Variables 2
Discrete Random Variables 3
Discrete Random Variables 4
Discrete Random Variables 5
Discrete Random Variables 6
Continuous Random Variables 1
Continuous Random Variables 2
Continuous Random Variables 3
Continuous Random Variables 4
Continuous Random Variables 5
Continuous Random Variables 6
Moment Generating Function 1
Moment Generating Function 2
Moment Generating Function 3
Special Discrete Probability Distributions
Bernoulli Distribution Part 1
Bernoulli Distribution Part 2
Example 1
Example 2
Binomial Distribution Part 1
Binomial Distribution Part 2
Example 3
Example 4
Poisson Distribution Part 1
Poisson Distribution Part 2
Example 5
Example 6
Poisson Approximation to Binomial Distribution
Example 7
Hypergeometric Distribution
Example 8
Geometric Distribution Part 1
Geometric Distribution Part 2
Example 9
Example 10
Negative Binomial Distribution Part 1
Negative Binomial Distribution Part 2
Example 11
Example 12
Special Continuous Probability Distributions
Exponential Distribution
Example 1
Example 2
Memoryless Property
Example 3
Normal Distribution
Standard Normal Distribution
Reading Z Table - Option 1
Reading Z Table - Option 2
Example 4
Gamma Distribution
Example 5
Relation of Gamma Distribution with Others
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 Midterm Problems III
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Poisson distribution 1
Poisson Distribution 2
Poisson Distribution 3
Hypergeometric Distribution 1
Hypergeometric Distribution 2
Negative Binomial Distribution 1
Negative Binomial - Geometric Distribution
Geometric Distribution 1
Geometric Distribution 2
Exponential Distribution 1
Exponential Distribution 2
Exponential Distribution 3
Normal Distribution 1
Normal Distribution 2
Normal Distribution 3
Normal Distribution 4
Normal Distribution 5
Normal Distribution 6
Normal Distribution 7
Central Limit Theorem 1
Central Limit Theorem 2
Central Limit Theorem 3
Central Limit Theorem 4
Central Limit Theorem 5
Normal Approximation to Binomial 1
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.
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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