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
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Distance Calculus - Student Reviews
Posted: Jan 8, 2021
Courses Completed: Probability Theory
A fantastic course! I was able to complete it in about half a year (with a few gaps) alongside other coursework I was completing. There are no deadlines except the one-year mark after registering, so you work at your own rate and schedule.
Probability Theory is required for me to apply to Master's programs in Statistics, so I was glad when I found Distance Calculus. While the course was slightly less difficult than I originally expected, there were parts that definitely slowed me down and made me think. (Also, although calculus is not everywhere in the course, it is everywhere in normal and exponential variables and beyond, so make sure to review derivatives and integrals (single and double)!) I used Mathematica for my software, and it helped speed along calculations and proved to be the perfect stage and tool for this material. I think visual learners will absolutely revel in how the material is presented in this course. (I know I did!) As there is plenty of writing and calculation to do, you have many opportunities to develop and strengthen your voice as a mathematician. The modern format of 80% electronic notebook work and 20% handwritten work is an excellent mixture for studying probability theory and grasping its core ideas. Dr. Curtis is clear in his answers to any questions and concerns you may have and is highly responsive to email and chat, and to responses you leave in your notebooks. He truly wants to help you and to see you succeed, and he is always on your side.
I highly recommend Probability Theory with Distance Calculus!
Probability Theory is required for me to apply to Master's programs in Statistics, so I was glad when I found Distance Calculus. While the course was slightly less difficult than I originally expected, there were parts that definitely slowed me down and made me think. (Also, although calculus is not everywhere in the course, it is everywhere in normal and exponential variables and beyond, so make sure to review derivatives and integrals (single and double)!) I used Mathematica for my software, and it helped speed along calculations and proved to be the perfect stage and tool for this material. I think visual learners will absolutely revel in how the material is presented in this course. (I know I did!) As there is plenty of writing and calculation to do, you have many opportunities to develop and strengthen your voice as a mathematician. The modern format of 80% electronic notebook work and 20% handwritten work is an excellent mixture for studying probability theory and grasping its core ideas. Dr. Curtis is clear in his answers to any questions and concerns you may have and is highly responsive to email and chat, and to responses you leave in your notebooks. He truly wants to help you and to see you succeed, and he is always on your side.
I highly recommend Probability Theory with Distance Calculus!
Email: comojica@ucdavis.edu
Posted: May 18, 2025
Courses Completed: Multivariable Calculus
Distance Calculus was a life saver! I needed an accredited program to complete multi-variable calculus for grad school and at the time was an American living in England. Being able to take the course on my own timeline, from my own home, was amazing! The content was thorough and the visualization exercises were very helpful for comprehension and understanding. This was an exceptionally, affordable, thorough, and convenient course that I found a lot of value in and I’m thankful it was available to me!
Transferred Credits To: Air Force Institute of Technology
Posted: Apr 29, 2020
Courses Completed: Calculus I, Calculus II
I did not do well in AP Calculus during my senior year in high school. Instead of trying to cram for the AP exam, I decided to jump ship and go to Distance Calculus to complete Calculus I. This was awesome! I finished Calculus I in about 6 weeks, and then I kept going into Calculus II. I started as a freshman at UCLA with both Calculus I and II done!
Transferred Credits To: University of California, Los Angeles
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
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
Posted: Dec 18, 2025
Courses Completed: Differential Equations
Transferred Credits To: Saint Joseph High School
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