# 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 Math Courses

- Applied Calculus for Business [3 credits] [3CR]
- Applied Calculus for Life Science [3 credits] [3CR]
- Calculus I[4 credits] [4CR]
- Calculus II[4 credits] [4CR]

#### Sophomore Math Courses

- Multivariable Calculus III [4 credits] [4CR]
- Differential Equations [3 credits] [3CR]
- Linear Algebra [4 credits] [4CR]
- Probability Theory [3 credits] [3CR]

#### Honors Math Courses

- Honors Calculus I [5 credits] [5CR]
- Honors Calculus II [5 credits] [5CR]
- Honors Calculus I+II for Data Science [5 credits] [5CR]
- Honors Multivariable Calculus [5 credits] [5CR]
- Honors Differential Equations [4 credits] [4CR]
- Honors Linear Algebra [5 credits] [5CR]
- Honors Linear Algebra for Data Science [5 credits] [5CR]

#### Lower Division Math Courses

- Precalculus with Trigonometry [4 credits] [4CR]
- Introductory Statistics [4 credits] [4CR]
- Finite Mathematics [3 credits] [3CR]
- Discrete Mathematics [4 credits] [4CR]

#### Upper Division Math Courses

- Computational Abstract Algebra [4 credits] [4CR]
- Computational Differential Geometry [4 credits] [4CR]

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

*Date Posted: Jul 25, 2020*

Review by: Michael Linton

Student Email: mdl264@cornell.edu

Courses Completed: Calculus I

Review: Amazing professor, extremely helpful and graded assignments quickly. To any Cornellians out there, this is the Calculus Course to take in Summer to fulfill your reqs! I would definitely take more Calculus Classes this way in the future!

Transferred Credits to: Cornell University

*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

*Date Posted: Sep 20, 2020*

Review by: Genevieve P.

Courses Completed: Applied Calculus

Review: I found out from my grad school after being accepted that I needed a Calculus course before starting their MBA program. I had less than 6 weeks to do it (and as a non-STEM undergrad no less). The video lectures were informative, the pre-calc refresher was great to get re-conditioned, and the asynchronous format worked so well as I did this at night/weekends after work. I completed it in 4 weeks. Professor Curtis was extremely responsive, graded assignments quickly, and a supportive guide providing constructive feedback to me to excel at the assignments. I highly recommend this course for those who need a pre-req in a hurry or like learning on their own schedule. Thanks, Distance Calculus and Professor Curtis!

Transferred Credits to: Massachusetts Institute of Technology (MIT)