Probability Theory Courses and Certifications

Institute for Pure & Applied Mathematics (IPAM)

Stochastic Box-Ball System - Convergence to Brownian Motion

Explore the stochastic version of the box-ball system and its convergence to semi-martingale reflecting Brownian motion in this mathematical presentation on discrete-time dynamical systems.

• YouTube
• 40 minutes
• On-Demand
• Free Video

UofU Data Science

Probability and Statistics: Joint Continuous Random Variables - Lecture 10

Master probability concepts through double integrals, marginal PDFs, and conditional expectations while exploring joint continuous random variables and their independence relationships.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

UofU Data Science

Expected Values in Random Variables - Lecture 9.5

Master the fundamentals of random variables and their expected values, exploring key concepts like independence and probability distributions in statistical analysis.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

UofU Data Science

Probability and Statistics: Joint Discrete Random Variables and Distributions - Lecture 9

Master probability concepts from exponential distribution to joint discrete random variables, including marginal and conditional probability calculations for comprehensive statistical analysis.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

UofU Data Science

Probability and Statistics: Expectation of Random Variables - Lecture 8

Master probability concepts through discrete and continuous random variables, exploring Bernoulli, geometric, exponential, and normal distributions with practical examples and linearity principles.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

UofU Data Science

Exponential and Normal Distribution with Sinusoidal Functions - Lecture 7B

Explore exponential and normal distributions while analyzing the complex function f(x) = (sin(1/x)+1)/1.5, gaining practical insights into probability theory and statistical analysis.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

UofU Data Science

Continuous Random Variables and Probability Distributions - Lecture 7A

Master continuous random variables, probability density functions, and cumulative distribution functions while exploring uniform distribution concepts and practical applications.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

UofU Data Science

Discrete Random Variables: Probability Density Functions and Dice Examples - Lecture 6

Master discrete random variables, probability density functions (PDFs), and cumulative density functions (CDFs) through practical examples using dice calculations and statistical analysis.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

UofU Data Science

Total Probability and the Monte Hall Problem - Lecture 4

Master probability concepts through the Monte Hall problem, complement rule for independence, and total probability while developing diverse approaches to probabilistic thinking.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

UofU Data Science

Probability and Statistics: Understanding Independence - Lecture 4

Master the concept of independence in probability theory through detailed explanations, examples, and practical applications in statistical analysis and data science.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

UofU Data Science

Probabilistic Machine Learning - Lecture 4

Dive into advanced data science concepts through a comprehensive university-level lecture covering key theoretical foundations and practical applications in the field.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

UofU Data Science

Probability and Statistics: Set Rules and Basic Probability Concepts - Lecture 2

Master fundamental probability concepts, set rules, and sample spaces through practical examples of repeated trials and permutations, building a strong foundation in statistical analysis.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

UofU Data Science

Probabilistic Machine Learning - Lecture 3

Dive into advanced data science concepts through a comprehensive graduate-level lecture covering key theoretical foundations and practical applications in modern data analysis.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

UofU Data Science

Probabilistic Machine Learning - Lecture 2

Dive into fundamental data science concepts and advanced computational techniques through comprehensive lecture materials from the University of Utah's graduate-level program.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

UofU Data Science

Probability and Statistics: Sets, Sample Spaces, and Events - Lecture 1

Explore fundamental concepts of probability theory including sets, sample spaces, and events to build a strong foundation in statistical analysis.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video