Online Elementary Linear Matrix Algebra Course - Distance Calculus
What is the difference between "Linear Algebra" and "Elementary Linear Algebra"?
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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".
What is the difference in a taking a textbook/lecture based course on linear algebra vs Distance Calculus Linear Algebra?
There are huge differences between our Linear Algebra course, which is Mathematica-based, and a traditional textbook/lecture course.
Our Mathematica-based course is highly experimentation-based - running experiments graphically, numerically, algebraically, to get at the concepts of linear algebra as you would in a chemistry or physics lab.
Traditional Linear Algebra courses usually center on doing small calculations you can do by hand, and then concentrating on abstract concepts of linear algebra, avoiding difficult calculations in favor of ... sometimes proofs, sometimes just calculations that can be completed by humans on paper.
Our Distance Calculus DMAT 311 - Linear Algebra course is perfect for students who might be interested in a "Computational Linear Algebra" course, although that course title is usually reserved for courses where the students are actually trying to learn how to program software like Mathematica or manual programs to do the computations. Those courses are more about numerical analysis, as they assume you already completed an Elementary Linear Algebra course before.
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:
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.
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.
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Mathematics Major Courses
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- Online Linear Matrix Algebra Online Course For Credit Start Today, Finish Quickly
- Online Linear Matrix Algebra Summer 2026 Online Course
- Online Linear Matrix Algebra Winter 2026 Online Course
- Online Linear Matrix Algebra Fall 2026 Online Course
- Online Linear Matrix Algebra Online Accredited
Distance Calculus - Student Reviews
Posted: May 17, 2025
Courses Completed: Linear Algebra
Online learning for math is certainly a different way of learning than most are used to in school - However, Distance Calculus does a great job of providing valuable feedback and tips on each assignment, and the professor is always available for detailed instruction and help. Tools like Mathematica provide an environment for learning with a lot more freedom and opportunity for exploration of concepts than the regular classroom setting.
Transferred Credits To: Chaminade University of Honolulu
Posted: May 5, 2025
Excellent course that you can take at your own pace. The instructor is excellent and I was able to get my questions answered quickly and complete this for an EMBA prerequisite. I would recommend this course to anyone trying to learn basics of calculus on their own timeline. The class prepared me well for my coursework at MIT.
Transferred Credits To: MIT
Posted: May 5, 2025
Courses Completed: Calculus II
The course material was well explained through the videos and notebooks, and it was nice to receive feedback on each assignment and correct any mistakes. However, the software required for the course was ridiculously outdated, to the point where I had to reinstall a very old operating system on my computer to even be able to run it. It was annoying and tedious to use, and it sometimes crashed. The graders were also sometimes overly picky about the way that concepts had to be explained to be considered correct (specific wording, etc), but it wasn’t too bad. Having multiple final exams seemed a bit excessive but again was not too bad. Overall, the main strength of this course is that it is completely asynchronous and self-paced, so I do recommend it if that is the most important factor to you. You will learn all of the material thoroughly, but you must be willing to deal with the more annoying aspects of the course (primarily the outdated technology).
Posted: Jul 29, 2026
Courses Completed: Calculus II, Multivariable Calculus, Differential Equations, Linear Algebra
After completing all the math offered by my highschool, I switched over to Roger Williams for Calculus II and onward. Overall, it has been a pretty great way to understand the topics online, with transferrable college credits. The exams are not terrible, and the courses cover the vast majority (if not all) of topics covered by traditional courses, with some unique ones added to. So far, I have taken four courses, with another one or two before I graduate.
The only problem with the course is the lack of pen and paper work. This shouldn't come as a crazy surprise with an online course, but there is not much emphasis on symbolic computation. Mathematica or other software does most of the heavy computation for you. The lectures usually show how to solve the problems through paper, but those skills are rarely put into practice. Literacy Sheets act as a way to do some of that (especially with the Calculus II & III course).
All in all, this isn't a huge issue. I just memorize and practice things like double integration, Laplace, ODE solving, matrix diagonalized form, row operations, etc. With a little outside work, this resolves itself. Without Roger WIlliams, I probably would not have been able to take any of these math courses in highschool.
So overall, a great choice for highschool advanced math, especially with transferrable credits.
The only problem with the course is the lack of pen and paper work. This shouldn't come as a crazy surprise with an online course, but there is not much emphasis on symbolic computation. Mathematica or other software does most of the heavy computation for you. The lectures usually show how to solve the problems through paper, but those skills are rarely put into practice. Literacy Sheets act as a way to do some of that (especially with the Calculus II & III course).
All in all, this isn't a huge issue. I just memorize and practice things like double integration, Laplace, ODE solving, matrix diagonalized form, row operations, etc. With a little outside work, this resolves itself. Without Roger WIlliams, I probably would not have been able to take any of these math courses in highschool.
So overall, a great choice for highschool advanced math, especially with transferrable credits.
Email: abarger@protonmail.com
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
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.
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