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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 Stastistics 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.

At Distance Calculus, we call our "Calculus-Based Statistics" course as Probability Theory - Math 315 - 3 credits.

Below are some links for further information about the Calculus-Based Statistics course via Distance Calculus @ Roger Williams University.

Distance Calculus Courses
Math 213: Calculus I (4 credits)
Math 214: Calculus II (4 credits)
Math 351: Multivariable Calculus (4 credits)
(same as Calculus III, Calculus IV, Vector Calculus)
Math 317: Differential Equations (3 credits)
Math 331: Linear Algebra (3 credits)
Math 315: Probability Theory (3 credits)
Calculus-Based Statistics
Math 207: Applied Calculus (3 credits)
Survey of Calculus • Liberal Arts Calculus
< Engineering Calculus I
Math 136: Precalculus (4 credits)
Frequently Asked Questions
University Accreditation
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Transferring Credits
Flexible Enrollment
Enroll Any Time &rarrow; Finish Fast
Asynchronous - No Meeting Times
Course Syllabi PDFs
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Introductory Videos






Distance Calculus - Student Reviews

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Date Posted: Jan 12, 2020
Review by: Anonymous
Courses Completed: Calculus I
Review: This course is amazing! I took it as a requirement for admission to an MBA program, and couldn't have been happier with the quality and rigor of the course. I previously took calculus two times (at a public high school and then a large public university commonly cited as a "public ivy"), this course was by far the best and *finally* made the concepts click. Previously I had no idea what was going on because terrible PhD students were teaching the course and saying stuff like "a derivative is the slope of a tangent line" - ??? but what does that mean ???, but the instructors in the Shorter University course explain everything in ways where it FINALLY made sense (e.g., "imagine a roller coaster hitting the top of a hill, there's a moment where it shifts momentum and you're not accelerating or decelerating, that's what a 0 rate of change is - that's when the derivative would be zero"). They explain everything in multiple ways and relate it to other concepts. It all made perfect sense when I finally had a good instructor. Really recommend this class
Transferred Credits to: The Wharton School, UPenn





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Date Posted: Jun 6, 2020
Review by: Douglas Z.
Courses Completed: Multivariable Calculus, Differential Equations, Linear Algebra, Probability Theory
Review: I loved these courses. So in depth and comprehensive. The mix of software and math curriculum was tremendously helpful to my future studies and career in engineering. I highly recommend these courses if you are bored of textbook courses.
Transferred Credits to: University of Massachusetts, Amherst





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Date Posted: Feb 25, 2020
Review by: Jessica M.
Courses Completed: Applied Calculus
Review: I highly recommend this course. I started the Kennedy School at Harvard with a last-minute admission, but my application required the Liberal Arts calculus course, so I had to finish the course in 3 weeks. Diane was an awesome instructor! The class was surprisingly interesting. If you need to take calculus fast, this is the program to use.
Transferred Credits to: Kennedy School of Government, Harvard University










Distance Calculus - Curriculum Exploration

7.08 - Central Limit Theorem