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:
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.
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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- Calculus-Based Statistics Online Course For Credit Start Immediately
- Calculus-Based Statistics Quick Online Course For Credit Start Immediately
- Calculus-Based Statistics Summer 2026 Online Course
- Calculus-Based Statistics Winter 2026 Online Course
- Calculus-Based Statistics Winter Course
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- Calculus-Based Statistics Fall 2026 Online Course
- Calculus-Based Statistics Online Accredited
Distance Calculus - Student Reviews
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.
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
Posted: May 5, 2025
Excellent course that you can take at your own pace. The instructor is excellent and I was able to get my questions answered quickly and complete this for an EMBA prerequisite. I would recommend this course to anyone trying to learn basics of calculus on their own timeline. The class prepared me well for my coursework at MIT.
Transferred Credits To: MIT
Posted: May 18, 2025
Courses Completed: Probability Theory
A great way to learn probability theory through visualizations, code, and math. Rather than just solving equations through pencil and paper, this course helped me to see how how probability distributions form and behavior through simulations and visuals. I would recommend this course to anyone looking for a way a more interactive way to learn mathematics and at their own pace.
Transferred Credits To: none yet
Posted: Jul 29, 2026
Courses Completed: Calculus II, Multivariable Calculus, Differential Equations, Linear Algebra
After completing all the math offered by my highschool, I switched over to Roger Williams for Calculus II and onward. Overall, it has been a pretty great way to understand the topics online, with transferrable college credits. The exams are not terrible, and the courses cover the vast majority (if not all) of topics covered by traditional courses, with some unique ones added to. So far, I have taken four courses, with another one or two before I graduate.
The only problem with the course is the lack of pen and paper work. This shouldn't come as a crazy surprise with an online course, but there is not much emphasis on symbolic computation. Mathematica or other software does most of the heavy computation for you. The lectures usually show how to solve the problems through paper, but those skills are rarely put into practice. Literacy Sheets act as a way to do some of that (especially with the Calculus II & III course).
All in all, this isn't a huge issue. I just memorize and practice things like double integration, Laplace, ODE solving, matrix diagonalized form, row operations, etc. With a little outside work, this resolves itself. Without Roger WIlliams, I probably would not have been able to take any of these math courses in highschool.
So overall, a great choice for highschool advanced math, especially with transferrable credits.
The only problem with the course is the lack of pen and paper work. This shouldn't come as a crazy surprise with an online course, but there is not much emphasis on symbolic computation. Mathematica or other software does most of the heavy computation for you. The lectures usually show how to solve the problems through paper, but those skills are rarely put into practice. Literacy Sheets act as a way to do some of that (especially with the Calculus II & III course).
All in all, this isn't a huge issue. I just memorize and practice things like double integration, Laplace, ODE solving, matrix diagonalized form, row operations, etc. With a little outside work, this resolves itself. Without Roger WIlliams, I probably would not have been able to take any of these math courses in highschool.
So overall, a great choice for highschool advanced math, especially with transferrable credits.
Email: abarger@protonmail.com
Posted: Jun 25, 2026
Courses Completed: Multivariable Calculus
The professor as well as the TAs give great feedback when you need help with problems and the videos are great at explaining concepts. Return time on work is good and the work is not too much to handle.
Transferred Credits To: University of Wisconsin
Posted: Jun 24, 2026
Courses Completed: Linear Algebra
This course gives a perspective on Linear algebra that no traditional course does. I’d say i gained much more intuition for this subject from the DC course than my friends who took traditional courses elsewhere. As a cs major, this version of learning with visualization has helped me a lot in understand ML models. However the course doesn’t have videos for the last 2 chapers so i had to self learn with the mathematica notebooks. Response times are a little slow but since it’s a remote class, i guess it’s justified. Overall amazing course and definitely take this over traditional lin alg classes.
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