MATH/STAT 321 - Probability Theory (Fall 2026)

Course Information

• Syllabus
• Tentative Schedule

Lecture Slides

• Lecture #1: Sets, Permutations and Combinations (PDF Version).
• Lecture #2: Foundations of Probability (PDF Version).
• Lecture #3: Independence & Conditional Probability (PDF Version).
• Lecture #4: Probability Spaces & Discrete Random Variables (PDF Version).
• Lecture #5: Discrete Probability Distributions (PDF Version).
• Lecture #6: Continuous Probability Distributions (PDF Version).
• Lecture #7: The Normal Distribution (PDF Version).
• Review: Double Integrals (PDF Version).
• Lecture #8: Joint Distributions & Covariance (PDF Version).
• Lecture #9: Moment-Generating Functions (PDF Version).
• Lecture #10: Inequalities, Convergence and the Central Limit Theorem (PDF Version).
• Lecture #11: The Likelihood Function & Maximum-Likelihood Estimators (PDF Version).
• Lecture #12: Introduction to Bayesian Statistics (PDF Version).
• Lecture #13: The Bivariate and Multivariate Normal Distributions (PDF Version).
• Lecture #14: Change of Variables (PDF Version).