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Online Elementary Linear 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".

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 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 Linear Algebra course via Distance Calculus @ Roger Williams University:

Linear Algebra Course






Multivariable Calculus & High School






After AP Calculus for High School Students



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

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


Our Linear Algebra 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 Linear Algebra, both solvable (classically) via hand-based techiques, as well as studying Linear Algebra that can only be solved and investigated graphically and numerically using a computer. The Linear Algebra curriculum is highly visual and based upon observations of experiments run in Mathematica.


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

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






Distance Calculus - Student Reviews

Taylor C.★★★★★
Posted: May 27, 2025
Courses Completed: Multivariable Calculus
Im a visual learner and had a difficult time understanding multivariable calculus my first go around, and found this course offered by Roger Williams University, which uses real-time 3d graphing of the equations. I would see my work be manipulating the models, which gave a robust understanding of what each variable did. absolutely loved the course and class recordings.
Transferred Credits To: Califorina Baptist University
Jennifer S.★★★★★
Posted: Aug 16, 2020
Courses Completed: Calculus I
The course was intense and required a lot of hard work. Professors ready available to assist when needed. Professors presented and explained materials/course work in detail and provided explanations and resources.
Transferred Credits To: University of New Haven, West Haven, CT
Rebecca M.★★★★★
Posted: Mar 17, 2020
Courses Completed: Calculus II, Multivariable Calculus
Fantastic courses! I barely made it through Cal 1, and halfway through Cal 2 I found this program. I took Cal 2 and then Multivariable and I just loved it! SOOOOOOO much better than a classroom+textbook class. I highly recommend!
Transferred Credits To: Tulane University
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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