Thrive Education Partners is seeking an experienced probability and statistics tutor to support a student enrolled in CE 6300: Probabilistic Methods in Engineering Design at Vanderbilt University. This is a virtual role with a flexible evening schedule, beginning immediately.
This is not a general engineering tutoring role. Although the course sits in an engineering department, it is fundamentally graduate-level applied probability and statistics: random variables and distributions, parameter estimation, regression, Monte Carlo simulation, and component and system reliability, moving into first- and second-order reliability methods and reliability-based design. The right tutor has already studied or taught this material at the graduate level and can open the course text to any chapter with confidence.
The student arranged this engagement himself and is motivated and proactive about it. He wants to stay ahead of the course rather than react to assignments as they come due, which shapes who this role is for: we are prioritizing someone who knows this material cold over someone willing to learn it alongside him. The semester is already underway, so we need someone who can begin quickly and step into the content at full speed.
What You'll Do
Meet virtually with the student twice per week on a consistent evening schedule.
Preview upcoming course material so the student arrives at each lecture already familiar with the concepts.
Break down mathematically complex material into clear, sequential steps without losing the underlying rigor.
Work through representative problems and course assignments, building problem-solving fluency rather than walking through solutions.
Connect probability and statistics principles to their engineering applications across civil, mechanical, chemical, biomedical, and electrical contexts.
Identify gaps in prerequisite mathematics or statistics and strengthen them efficiently, without derailing the pace of the course.
Support preparation for homework, midterms, and the cumulative final exam.
Coordinate directly with the student on scheduling, priorities, and where sessions should focus next.
Adjust session frequency as the semester progresses, adding support around assessments when it is needed.
Course content includes fundamental probability concepts, random variables and probability distributions, functions of random variables, statistical data analysis and parameter estimation, multiple random variables with covariance and correlation, regression and response modeling, Monte Carlo simulation, uncertainty quantification, component and system reliability, reliability-based engineering design, and first- and second-order reliability methods.
Our Approach
At Thrive, tutoring at this level means more than reviewing solved problems. A student in graduate coursework needs a tutor who understands the mathematics well enough to explain why a method works, where its assumptions break down, and how it connects to what comes next in the sequence.
We match students with subject-matter experts, not generalists. For this placement that means someone genuinely fluent in probability and reliability analysis who can work at the pace of a motivated student who intends to get ahead and stay there.
Requirements
We're Looking for Someone Who...
Has completed graduate-level coursework in probability and mathematical statistics, or has taught it. An engineering degree that included an introductory statistics requirement is not sufficient preparation for this course.
Has worked directly with reliability analysis, including limit state functions, the reliability index, and first- and second-order reliability methods.
Can derive and work with distributions of functions of random variables, not only apply standard results.
Has built or run Monte Carlo simulations for uncertainty quantification, in coursework, research, or practice.
Is comfortable with parameter estimation, regression, and correlated random variables at the level…