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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.

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Distance Calculus - Student Reviews

Rebecca M.★★★★★
Posted: Mar 17, 2020
Courses Completed: Calculus II, Multivariable Calculus
Fantastic courses! I barely made it through Cal 1, and halfway through Cal 2 I found this program. I took Cal 2 and then Multivariable and I just loved it! SOOOOOOO much better than a classroom+textbook class. I highly recommend!
Transferred Credits To: Tulane University
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
Teddy M.★★★★☆
Posted: Feb 28, 2020
Courses Completed: Precalculus, Calculus I
Pros: once you get going, you can go really fast. The visual textbook is pretty cool. The instructors were very responsive.
Cons: the movies are great, but the software crashes more than it should. Sometimes it is just a hassle doing things in the software instead of on paper, but once I got used to the software, it was ok.
Transferred Credits To: Texas Christian 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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