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.

Freshman Mathematics Courses

Semester
Credit
Hours

Applied Calculus for Business 33
Applied Calculus for Life Science 33

STEM Calculus I44
STEM Calculus II44

Honors STEM Calculus I 55
Honors STEM Calculus II 55
Honors Calculus I+II for Data Science 55

Sophomore Mathematics Courses

Semester
Credit
Hours

Honors Multivariable/Vector Calculus III 55
Honors Differential Equations 44
Honors Linear Algebra 55
Honors Linear Algebra for Data Science 55

General Mathematics Courses

Semester
Credit
Hours

Discrete Mathematics 44

Mathematics Major Courses

Semester
Credit
Hours

Computational Abstract Algebra 44

Computational Differential Geometry 44

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

Course Information

How Distance Calculus Courses Work

HONORS Courses

Frequent Questions

Distance Calculus - Student Reviews

Aiden B.★★★★☆

Posted: May 6, 2025

Courses Completed: Calculus II, Multivariable Calculus

Is the course perfect? No. However, it was by far the best option available. I have learned quite a few things not normally taught in a Calculus course. However, the course lacks a lot of paper solving and integrating, which is to be expected in an online course.

Laura T.★★★★★

Posted: May 18, 2025

Courses Completed: Linear Algebra

I completed the Linear Algebra course as a prerequisite to an M.Ed program in Mathematics. I worked entirely at my own pace, it was cheap, I actually learned the material. This was not a "pay your fee, take your B" type of class. I had to demonstrate true understanding in order to earn credit. Dr. Curtis was responsive and helpful when I had questions. All in all I would recommend this course and any other Distance Calculus course.

Transferred Credits To: James Madison University

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

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