Calculus-Based Statistics - Probability Theory - Distance Calculus Course Information

Calculus-Based Statistics course can best be described as a "first course in the study of Statistics and Probablity Theory using Calculus".

This course has many names, all being equivalent:

Probablity Theory
Calculus-Based Statistics
Second Course in Statistics for STEM

Our Probability Theory course differs from a classroom/textbook-based course in that we employ Mastery Learning so that you complete all assignments at 100% to assure competancy, as well as our curriculum shifting the course to a laboratory-style course, where theorem/lemma/proof type exposition is replaced by running experiments in Mathematica as you would in a science laboratory to empirically deduce the concepts and behaviors of Probability Theory, both solvable (classically) via hand-based techiques, as well as studying Probability Theory that can only be solved and investigated graphically and numerically using a computer. The Probability Theory curriculum is highly visual and based upon observations of experiments run in Mathematica or LiveMath.

At Distance Calculus, we call our "Calculus-Based Statistics" course as Probability Theory - DMAT 311 - 3 credits.

Below are some links for further information about the Calculus-Based Statistics course via Distance Calculus @ Roger Williams University.

Distance Calculus - Student Reviews

Genevieve P.★★★★★

Posted: Sep 20, 2020

Courses Completed: Applied Calculus

I found out from my grad school after being accepted that I needed a Calculus course before starting their MBA program. I had less than 6 weeks to do it (and as a non-STEM undergrad no less). The video lectures were informative, the pre-calc refresher was great to get re-conditioned, and the asynchronous format worked so well as I did this at night/weekends after work. I completed it in 4 weeks. Professor Curtis was extremely responsive, graded assignments quickly, and a supportive guide providing constructive feedback to me to excel at the assignments. I highly recommend this course for those who need a pre-req in a hurry or like learning on their own schedule. Thanks, Distance Calculus and Professor Curtis!

Transferred Credits To: Massachusetts Institute of Technology (MIT)

Douglas Z.★★★★★

Posted: Jun 6, 2020

Courses Completed: Multivariable Calculus, Differential Equations, Linear Algebra, Probability Theory

I loved these courses. So in depth and comprehensive. The mix of software and math curriculum was tremendously helpful to my future studies and career in engineering. I highly recommend these courses if you are bored of textbook courses.

Transferred Credits To: University of Massachusetts, Amherst

Mark L.★★★★★

Posted: Sep 6, 2020

Courses Completed: Applied Calculus

Great course. Because of this class I was able to meet the entry requirements for my EMBA program on a tight time window in addition to sharpening math skills from classes taken over 15 years ago!

Transferred Credits To: MIT

M M.★★★★★

Posted: Feb 8, 2026

Courses Completed: Precalculus, Calculus I

The courses were excellent. Very flexible and engaging and the platform offers a lot of upper-level courses. Dr. Curtis is an outstanding professor and very responsive. I would take again.

Transferred Credits To: None yet

Tanja B.★★★★★

Posted: Jan 28, 2026

Courses Completed: Calculus I

After two failed attempts at my university, this course helped me understand Calculus. The live maths tool along with Dr. Curtis were especially helpful, allowing me to visualize concepts and expand my understanding. The explanations were clear, the examples practical, and I could learn at my own pace, which built my confidence. Thank you.

Transferred Credits To: University of Namibia

Henry F.★★★★★

Posted: Dec 18, 2025

Courses Completed: Differential Equations

Transferred Credits To: Saint Joseph High School