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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

Daniel Marasco★★★★★
Posted: Jan 13, 2020
Courses Completed: Multivariable Calculus
This course was more affordable than many, and the flexible format was terrific for me, as I am inclined to work very diligently on tasks on my own. It could be dangerous for a person who requires external discipline more, but it works well for self-starters, allowing you to prioritize when you have other pressing work. I was a full time teacher adding a math certification, and this course allowed me to master the math while working around my teaching schedule and fitting work into moments here and there when I had time. I was able to transfer the credits to Montana State University, Bozeman for my teaching internship program without a hitch. The instructors were all very helpful and patient, even when I failed to see a ridiculously simple solution on one problem after 20 emails back and forth. Overall, I was more pleased with my experience in this class than I was with any of my other 9 courses.
Transferred Credits To: Montana State University, Bozeman
Carl Conners★★★★★
Posted: Feb 23, 2020
Courses Completed: Multivariable Calculus, Differential Equations, Linear Algebra
After a really rough first year of calculus, I completed all of the second year calculus courses with Distance Calculus. It was like night and day the difference. My first year was so boring and monotonous. Multivariable Calculus, Differential Equations, and Linear Algebra through Distance Calculus were just so much different - so not boring at all. I thoroughly enjoyed these courses. So engaging.
Transferred Credits To: Michigan State University
Chester F.★★★★
Posted: May 21, 2020
Courses Completed: Calculus I, Calculus II
I did not enjoy Calculus I at my school. I retook Calculus I, and then Calculus II, over the summer via Distance Calculus and it was awesome. I started my sophomore year back on track and ready for my physics classes. I struggled with the MathLive software but I guess it was alright.
Transferred Credits To: University of North Carolina
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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