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Elementary Linear Matrix Algebra Course - Distance Calculus

What is the difference between "Linear Algebra" and "Elementary Linear Algebra"?

When you see the term "Elementary" in the title, they are specifically talking about the sophomore-level Linear Algebra course commonly taken after Calculus II.

There are more advanced Linear Algebra courses available, usually taken by math and computer science students, which are sometimes called Advanced Linear Algebra, or Computational Linear Algebra. These are courses that jump into the math theory of Linear Algebra, and usuall require a student have had a course in group theory or abstract algebra.

Most students looking for a Linear Algebra course are looing for "Elementary Linear Algebra".

Here is a video about our DMAT 311 - Linear Algebra course via Distance Calculus @ Roger Williams University:

DMAT 311 - Linear Algebra Course






Multivariable Calculus & High School






After AP Calculus for High School Students



Online Linear Matrix Algebra course can best be described as a "first course in the study of elementary Linear Algebra and Matrix Theory".

This course has many names, all being equivalent:
  • Linear Algebra
  • Matrix Theory
  • Linear Systems of Equations
  • Linear Spaces
  • Elementary Linear Algebra
  • Computational Linear Algebra


Distance Linear Algebra via Distance Calculus is a COMPLETELY DIFFERENT course from a traditional textbook/lecture classroom course.

Distance Linear Algebra is taught via an experimentation-based curriculum using Mathematica, earning real academic credits through Roger Williams University in Providence, Rhode Island, USA.

Distance Linear Algebra is similar to a Computational Linear Algebra course in some ways, but not exactly the same. A Computational Linear Algebra course will look at developing the computational engines that attack the structures of linear algebra; our Distance Linear Algebra simply uses those computational softwares like Mathematica as a laboratory tool, to unlock the concepts and theorems at work in Linear Algebra from a very graphical, geometric, and inquisitive approach.

In contrast, many classroom/textbook Linear Algebra courses are taught mainly the same way they were taught 100 years ago - the small breadbasket of calculations you can complete by hand on paper, and where the theory of linear algebra leads you. As such, the calculations you can complete youself are quite limited, although proponents of this approach feel you "really know linear algebra" because you have to do the (often hard and tedious) computing yourself by hand.

We invite you to investigate the Distance Linear Algebra course via Distance Calculus either via the menu to the left, or the additional links below.


At Distance Calculus, we call our "Online Linear Matrix Algebra" course as Linear Algebra - DMAT 335 - 3 credits.

Below are some links for further information about the Online Linear Matrix Algebra course via Distance Calculus @ Roger Williams University.






Distance Calculus - Student Reviews

Paul Simmons★★★★★
Posted: Apr 6, 2020
Courses Completed: Multivariable Calculus, Differential Equations
I took Multivariable and Diff Eq during the summer. The DiffEq course was awesome - very useful for my physics and engineering course. I was unsure about Mathematica at first, but I got the hang of it quickly. Thank you Distance Calculus!
Transferred Credits To: University of Oregon
Allie★★★★★
Posted: May 17, 2025
Courses Completed: Calculus I
This Calculus class saved my life! I needed to take this class to be able to secure a spot in my grad school program, and this was perfect for me - super flexible to my schedule, the teaching was great, and the material was super clear.

I felt like I really learned Calculus and also really enjoyed it!
Anonymous★★★★★
Posted: Jan 12, 2020
Courses Completed: Calculus I
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
Lucas L.★★★★★
Posted: Jun 25, 2026
Courses Completed: Multivariable Calculus
The professor as well as the TAs give great feedback when you need help with problems and the videos are great at explaining concepts. Return time on work is good and the work is not too much to handle.
Transferred Credits To: University of Wisconsin
Hari K.★★★★
Posted: Jun 24, 2026
Courses Completed: Linear Algebra
This course gives a perspective on Linear algebra that no traditional course does. I’d say i gained much more intuition for this subject from the DC course than my friends who took traditional courses elsewhere. As a cs major, this version of learning with visualization has helped me a lot in understand ML models. However the course doesn’t have videos for the last 2 chapers so i had to self learn with the mathematica notebooks. Response times are a little slow but since it’s a remote class, i guess it’s justified. Overall amazing course and definitely take this over traditional lin alg classes.
Julia★★★★★
Posted: Jun 24, 2026
Courses Completed: Calculus I
As a full-time business owner completing an Executive MBA, I needed to satisfy a calculus prerequisite without putting my work on hold. Distance Calculus made that possible. The fully self-paced structure let me work early mornings and weekends around an unpredictable schedule, which a fixed-semester classroom course never would have allowed.
The course covered the core business calculus material thoroughly — derivatives, optimization, integration techniques including u-substitution, the Fundamental Theorem of Calculus, improper integrals, and numerical methods. The LiveMath computer algebra environment was central to the experience: it forced me to build each step explicitly rather than just arriving at an answer, which actually deepened my understanding of the mechanics.
Communication through the student portal was responsive when I had questions. For working professionals who need a rigorous, accredited calculus course on a flexible timeline, I'd recommend it.
Transferred Credits To: MIT Ebma
 
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