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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

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.
Joe★★★★★
Posted: Jan 13, 2020
Courses Completed: Calculus II
This is the most interactive and productive online course I have ever taken. I had taken calculus before but never understood some of the underlying concepts until I took this course.
If you want to really learn calculus in a way that will stay with you for the rest of your life, take this course.
Transferred Credits To: The college of New Jersey
Jenny Zuercher★★★★
Posted: May 18, 2025
Courses Completed: Precalculus, Calculus II
Dr. Curtis's courses are very difficult, but they are definitely worth it! I took Calculus 2 from Dr. Curtis in my senior year of high school and went into a combined Calculus 2 and Calculus 3 course my first year of college. This course prepared me, and I found that I already knew much of the Calculus 3 coursework. The most difficult part of these courses, in my opinion, is pacing yourself. If you can keep yourself on track, then you are all good to go!
Email: jenz2.home@icloud.com
Transferred Credits To: University of Iowa
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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