MATH 5010 — Foundations of Statistical Theory and Probability

4 semester hoursGraduateLectureusually offered: fall, springtypical days: M/WBostonTraditional

Presents a comprehensive foundational overview of the probability theory and mathematical statistics critical to various methodologies needed to perform and interpret a statistical analysis. Explores probability distributions and the theoretical justifications around common statistical measures such as means, variances, and expected values. Introduces likelihood and Bayesian theory as tools to derive parameter estimates and begin to make inferences. Culminates with formal procedures for statistical inference including hypothesis testing, the construction of confidence intervals and credible intervals, and calculations of power and sample size. All topics are grounded in theory, with appropriate practice using a programming language and real-world datasets to communicate and visualize data and results.

Offering history

TermSectionsEnrolledCapacityFullOpen seats/section
Fall 20251143047%16.0
Spring 20261172568%8.0

Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.

Meeting times

Share of recent sections by weekday: M 55% · T 45% · W 55% · Th 45% · F 0%

Common patterns: MW (55% of sections), TR (45% of sections) — in patterns, R means Thursday

Professors

Fall

Spring

Percentages are each professor's average share of the season's enrolled students in recent terms.

Unlocks

MATH 6241, MATH 6243, PHTH 6210, PHTH 6880

Courses that list MATH 5010 in their prerequisites.

Links

Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app