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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

Henry R.★★★★★
Posted: Jul 12, 2021
Courses Completed: Multivariable Calculus
Fantastic and unique course, particularly good for visual/spatial thinkers. The course forces you to develop a real conceptual understanding of the math concepts, as opposed to just teaching math formulas like other courses tend to do.

There is a steep learning curve early on to get used to the software and the kind of course this is.

Ultimately, I feel like what I learned will allow me to actually use the math and build upon it in the future. If you care about learning, rather than just passing a requirement, this is a great course for you.
Transferred Credits To: Harvard University
Abdul J.★★★★★
Posted: Jun 21, 2020
Courses Completed: Applied Calculus
This was the best class! So much more interesting doing the computer math than a boring lecture class. Diane was so responsive and helpful. I recommend this course.
Transferred Credits To: Villanova University
I.★★★
Posted: May 5, 2025
Courses Completed: Calculus II
The course material was well explained through the videos and notebooks, and it was nice to receive feedback on each assignment and correct any mistakes. However, the software required for the course was ridiculously outdated, to the point where I had to reinstall a very old operating system on my computer to even be able to run it. It was annoying and tedious to use, and it sometimes crashed. The graders were also sometimes overly picky about the way that concepts had to be explained to be considered correct (specific wording, etc), but it wasn’t too bad. Having multiple final exams seemed a bit excessive but again was not too bad. Overall, the main strength of this course is that it is completely asynchronous and self-paced, so I do recommend it if that is the most important factor to you. You will learn all of the material thoroughly, but you must be willing to deal with the more annoying aspects of the course (primarily the outdated technology).
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
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