Calculus-Based Statistics - Probability Theory

Probability Theory - also called Calculus-Based Statistics - is the "upper level" statistics course that uses Calculus to explore the topics of elementary statistics.

This course is a gateway course for Data Science, Economics, and any discipline that utilizes data - that really means ALL JOBS these days!!

The curriculum for our Probability Theory course is absolutely wonderful, exploring the topics of beginning statistics with a fresh approach, devoid of the "here's the next formula and here's what it means" commonly found in traditional textbook courses.

Our Distance Calculus Probabality Theory course is highly experimentation-based, so you will run simulations in either LiveMath or Mathematica, and look at the topics empirically, trying to determine what is going on with the mathematics like a good scientist would - using observation and deductive reasoning.

Probability Theory covers the all of the topics in a basic non-major Statistics course. You do not need to have taken "baby" Statistics prior to taking Probability Theory - but you will need Calculus II under your belt.

Below are some videos on our Probability Theory Course:




Probability Theory Course






Preparing for Data Science










Distance Calculus - Student Reviews

Brian Finley★★★★★
Posted: Jan 12, 2020
Courses Completed: Calculus II
I took Calculus II through Distance Calculus and can't recommend it enough. Being able to take the course at my own pace while I was working full time was tremendously helpful, especially since I hadn't taken a math course for 5 years prior. The instruction was excellent and the software they used to teach the course was intuitive and facilitated the learning process very well. This calc II class enabled me to take multivariable calc, linear algebra, and real analysis at Harvard University's extension school, which ultimately qualified me for the economics PhD program that I will graduate from next year. 8 years on, I'm still grateful to Professor Curtis and Distance Calculus.
Coury Gaffney★★★★★
Posted: Jan 18, 2021
Courses Completed: Linear Algebra
The program used gives an amazing insight into everything that's happening, that you wouldn't get in a traditional course. All of the lessons are clear and clean, and the professor is very helpful along the way. I learned a lot and am happy with taking this course
Email: courygaffney@gmail.com
Transferred Credits To: Virginia Tech
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
John ★★★★★
Posted: Nov 20, 2025
Courses Completed: Precalculus, Applied Calculus
Great course. Professor Curtis and the TAs graded quickly and gave really helpful feedback that made the class feel smooth and manageable. Definitely recommend it.
Transferred Credits To: Binghamton University (School of Managment)
Trevor★★★★★
Posted: Jun 19, 2025
Courses Completed: Calculus I
POSITIVES:
One of the best math classes I have ever taken. The lessons made the failures of my previous professors very apparent. In a few short minutes, things that I used to struggle with just clicked. This professor is top notch and really wants you to understand how to use the material.
NEGATIVES:
The SOFTWARE is extremely frustrating. Even after taking the time to learn, there are countless glitches. You learn to work around them, and overall, the software makes the math convenient, but its failures are sorely felt throughout the course. Make sure you save often as it crashes regularly, especially with graphs.
The assignments are easy enough but some of them don't line up with the taught material. Be prepared to do some of your own independent research to get a deeper understanding of why things are the way they are.
Transferred Credits To: US Army
Taylor C.★★★★★
Posted: May 27, 2025
Courses Completed: Multivariable Calculus
Im a visual learner and had a difficult time understanding multivariable calculus my first go around, and found this course offered by Roger Williams University, which uses real-time 3d graphing of the equations. I would see my work be manipulating the models, which gave a robust understanding of what each variable did. absolutely loved the course and class recordings.
Transferred Credits To: Califorina Baptist University
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