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AP Linear Matrix Algebra for Advanced High School Students

If the AP Calculus sequence continued in high school, one of the courses after AP Calculus BC (Calculus II) would be: AP Linear Algebra.

Linear Algebra is a course taken in the sophomore year in college/university, and taken after Calculus II (AP Calculus BC).

The Linear Algebra course is almost never offered in high schools due to its advanced nature, and also because there is a no "AP Linear Algebra" exam.

College credit for calculus courses does not depend upon the AP Calculus exams - even while you are in high school, you may jump in collegiate math courses, either at a local college, or via an online program like Distance Calculus.

It is important to earn real, transferrable academic credit, like those credits you may earn from Distance Calculus @ Roger Williams University. There are many Linear Algebra courses running around the internet, and some of them are really really excellent! But if they don't offer real, transferrable college credit, well .... you need to prove to others you have completed 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

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
Daniel Marasco★★★★★
Posted: Jan 13, 2020
Courses Completed: Multivariable Calculus
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
Emmy★★★★★
Posted: May 26, 2025
Courses Completed: Applied Calculus
Distance Calculus was the perfect answer to getting ahead in math over the summer of my junior year in HS. I was able to complete the entire course over the summer. The teacher was responsive and the course was understandable. Highly recommend.
Transferred Credits To: Syracuse University
Aiden B.★★★★★
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.
Email: abarger@protonmail.com
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.
 
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