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AP Advanced Placement Linear 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 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

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
Anonymous★★★★
Posted: Jan 12, 2020
Courses Completed: Calculus I, Calculus II
I needed to brush up on my high school calculus and finally take Calc II before starting a graduate program that needed them as prereqs. This was perfect choice to fit in that summer. Got done at fast pace that I wanted and needed. Also had added bonus of one on one feedback and help when needed. Video lessons were better than many on campus instructors in large lecture settings. Recommend for anyone needing to satisfy prereqs at home institution.
Transferred Credits To: University of Michigan
Jessica M.★★★★★
Posted: Feb 25, 2020
Courses Completed: Applied Calculus
I highly recommend this course. I started the Kennedy School at Harvard with a last-minute admission, but my application required the Liberal Arts calculus course, so I had to finish the course in 3 weeks. Diane was an awesome instructor! The class was surprisingly interesting. If you need to take calculus fast, this is the program to use.
Transferred Credits To: Kennedy School of Government, Harvard University
Ryan★★★★★
Posted: Aug 28, 2026
Courses Completed: Finite Math
I will preface this review by saying that if you are looking to take the easiest course possible, cheat through it, and learn as little as possible, this is not the course for you. Below, I will provide my uncensored opinions to this course:

First, this course uses software called LiveMath. This software can be a little bit challenging to get the hang of, but once you do get the hang of it, it's super easy. Remember that for all new things, it takes a bit to get used to it. Overall, I was highly satisfied with this course. I thought that the instructions were extremely detailed, including a video and a textbook explaining every different concept. In addition, this course offered exposure to a lot of different aspects of finite math. I think that many would agree with me on the following, that, you know, when a teacher is passionate about what they are teaching, it is so much more enjoyable, and you can definitely see that in this course. This course can be challenging at times. Maybe it'll be easy for you, maybe it'll be hard, but I think it's important to remember that the things that challenge us are, you know, the things that make us learn and the things that make us better. There's also a math chat option for if you need help or if you have any questions. Overall, I would recommend this course. I actually initially went into this course looking for an easy course to just help me get the credit requirements, but it ended up being an amazing learning experience and completely shifted my perspective on math overall. And another thing that I thought was great in this course is throughout so many different lectures, the professor would explain how each different thing can be applicable in life. And I think that, you know, that is a lot of what people think about when they are learning something. They're like, will I ever use this? Do I need to learn this? And a lot of this actually is really applicable. And I think that even if, you know, you may not be doing these math equations in your future, I think that, you know, the psychology behind these and the rules can be applied to so many different fuacets of life.
Transferred Credits To: GWU
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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