Introduction to Probability

MATH 250 builds the formal language for reasoning about uncertainty, moving you from counting outcomes to working fluently with random variables, their distributions, and how multiple random quantities interact. Expect weekly problem sets and quizzes where you derive expectations, fit the right discrete or continuous distribution to a scenario, and compute conditional and joint behavior — the work is calculation-heavy and proof-light. Sitting on top of calculus, it is the gateway for statistics, stochastic processes, machine learning, and any engineering or finance course that treats noise seriously, so the fluency you build here gets reused everywhere downstream.