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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 - Freshman Courses
Freshman Mathematics Courses
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Distance Calculus - Soph Courses
Sophomore Mathematics Courses
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Distance Calculus - Lower Courses
General Mathematics Courses
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Mathematics Major Courses
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Distance Calculus - Student Reviews

Samuel H.★★★★☆
Posted: Jun 2, 2021
Courses Completed: Linear Algebra
Nothing but praise for Dr. Curtis. He's an excellent professor who is very responsive and knowledgeable. I did this course at night while working full-time, and I often skyped him late in the evening with questions. He never took long to respond, regardless of when it was. I finished this course in about a month and a half, and I worked for it. For those looking for an easy A, this is not it. You will have to put in serious work, but you will come out of the course with a good understanding of the material, especially if you apply yourself throughout the entirety of the course.
Email: samuel.howell@g.fmarion.edu
Transferred Credits To: Francis Marion University
Andris H.★★★★★
Posted: May 3, 2020
Courses Completed: Applied Calculus
I found out from my MBA program that I needed to finish calculus before starting the MBA. They told me 3 weeks before term started! I was able to finish Applied Calculus from Distance Calculus. Definitely a great class. Thanks Distance Calculus!
Transferred Credits To: SUNY Stony Brook
Rachel H.★★★★★
Posted: Jan 15, 2021
Courses Completed: Probability Theory
Dr. Curtis gave helpful and timely feedback, and made the teaching videos very engaging! The course model and associated software was easy to acclimate to.
Transferred Credits To: Cedarville University
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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Distance Calculus - Freshman Courses
Freshman Mathematics Courses
Semester
Credit
Hours
Distance Calculus - Soph Courses
Sophomore Mathematics Courses
Semester
Credit
Hours
Distance Calculus - Lower Courses
General Mathematics Courses
Semester
Credit
Hours
Mathematics Major Courses
Semester
Credit
Hours
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