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

Dan P.★★★★★
Posted: Jan 19, 2020
Courses Completed: Calculus I, Calculus II
I found the courses to be informative, enjoyable, and most importantly, effective in helping me learn the concepts of calculus. My math skills were always very weak, and I had a great deal of difficulty passing my undergrad math courses.
The pace of a traditional classroom setting was just too quick for the concepts to really sink in. With Distance Calculus, I had courses that were taught with the full rigor of an on-campus class, but where I could take my time and really learn the material...all while having access to top-tier instructional help for real math professors and assistants.

DC gave me the tools and the confidence I needed, so after successfully passing my DC courses, I moved on and completed a master's degree in CS.
Laura T.★★★★★
Posted: May 18, 2025
Courses Completed: Linear Algebra
I completed the Linear Algebra course as a prerequisite to an M.Ed program in Mathematics. I worked entirely at my own pace, it was cheap, I actually learned the material. This was not a "pay your fee, take your B" type of class. I had to demonstrate true understanding in order to earn credit. Dr. Curtis was responsive and helpful when I had questions. All in all I would recommend this course and any other Distance Calculus course.
Transferred Credits To: James Madison University
Allie★★★★★
Posted: May 17, 2025
Courses Completed: Calculus I
This Calculus class saved my life! I needed to take this class to be able to secure a spot in my grad school program, and this was perfect for me - super flexible to my schedule, the teaching was great, and the material was super clear.

I felt like I really learned Calculus and also really enjoyed it!
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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