Fall 2025
Probability with Engineering Applications
University of Illinois Urbana-Champaign
Developed probabilistic modeling intuition and computation skills for engineering problems, from random variables to limit theorems.
- Random Variables
- Joint Distributions
- Conditional Probability
- Expectation & Variance
- LLN & CLT
Course Focus
Probability as a modeling toolkit: turning real systems into random variables and computing actionable quantities.
Key skills
Working fluently with joint/conditional structure and recognizing when approximations (e.g., CLT) are appropriate.
Reflection
Made me faster at translating messy scenarios into clean probabilistic objects and assumptions.