Calculus-Based Statistics with Calculus 2 Prerequisite

What are the course prerequisites for Calculus-Based Statistics = Probability Theory?

Distance Calculus - Lower Courses
General Mathematics Courses
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Credit
Hours

Distance Calculus - Math Major Courses
Mathematics Major Courses
Semester
Credit
Hours

The only prerequisite for Calculus-Based Statistics is: Calculus II (Calculus 2) (and recommended Multivariable Calculus!)

As the name suggests, this is not the lower "baby statistics" course without Calculus. You need a very firm understanding of differential and integral Calculus to be able to engage Probability Theory.

Most of the topics in Probability Theory course are also found in the lower Statistics course, but the higher Probability Theory course uses derivatives and integrals to analyze the probability and statistics concepts and computations.

Multivariable Calculus is a good idea before Probability Theory, because some topics in Probability Theory use partial derivatives and multiple integrals - topics in Multivariable Calculus. While Multivariable Calculus is recommended, it is not required - learning these two differential and integral calculus constructions is not that difficult in the context of Probability Theory topics. So we keep Multivariable Calculus as a recommended course only.

So, for those students wishing to get ahead and get Probability Theory in their completed column in their academic plan, you do need to complete Calculus II first, which means also completing Calculus I first.

Here is a video about our Probability Theory course via Distance Calculus @ Roger Williams University:

Probability Theory Course






Multivariable Calculus & High School






After AP Calculus for High School Students



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:
  • 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.

Distance Calculus - Lower Courses
General Mathematics Courses
Semester
Credit
Hours

Distance Calculus - Math Major Courses
Mathematics Major Courses
Semester
Credit
Hours






Distance Calculus - Student Reviews

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Date Posted: Feb 23, 2020
Review by: Carl Conners
Courses Completed: Multivariable Calculus, Differential Equations, Linear Algebra
Review: After a really rough first year of calculus, I completed all of the second year calculus courses with Distance Calculus. It was like night and day the difference. My first year was so boring and monotonous. Multivariable Calculus, Differential Equations, and Linear Algebra through Distance Calculus were just so much different - so not boring at all. I thoroughly enjoyed these courses. So engaging.
Transferred Credits to: Michigan State University





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Date Posted: Dec 9, 2019
Review by: Louisa A.
Courses Completed: Calculus I
Review: My microeconomics class required college-level calculus as a prerequisite, and I didn't want to wait until next year to take the class. So, I took DC's Calculus I class over the summer, so I could register for econ when I got back to school this fall. I actually think I got more help taking the class online than I would have in the huge lecture classes here. Prof. Curtis was really clear in explaining concepts and talking me through the topics that I was having trouble with. It took me about 10 weeks to finish the class, which didn't seem too long and didn't feel rushed. My friends who are in calculus now, trying to finish the prereq, are pretty jealous!





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Date Posted: Jan 13, 2020
Review by: Daniel Marasco
Courses Completed: Multivariable Calculus
Review: This course was more affordable than many, and the flexible format was terrific for me, as I am inclined to work very diligently on tasks on my own. It could be dangerous for a person who requires external discipline more, but it works well for self-starters, allowing you to prioritize when you have other pressing work. I was a full time teacher adding a math certification, and this course allowed me to master the math while working around my teaching schedule and fitting work into moments here and there when I had time. I was able to transfer the credits to Montana State University, Bozeman for my teaching internship program without a hitch. The instructors were all very helpful and patient, even when I failed to see a ridiculously simple solution on one problem after 20 emails back and forth. Overall, I was more pleased with my experience in this class than I was with any of my other 9 courses.
Transferred Credits to: Montana State University, Bozeman





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