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Linear Algebra for Advanced High School Students

Many very motivated and eager high school students will finish Calculus AB (Calculus I) and Calculus BC (Calculus II) during their junior or senior year of high school.

If you finish these AP Calculus courses during your senior year, then one option to get ahead with your academic plan is to complete the next few courses: Linear Algebra, Calculus 3 (Calculus III) - multivariable calculus, honors multivariable calculus, honors vector analysis, honors calculus 4, honors calculus IV, Differential Equations, and/or Calculus-Based Statistics (Probability Theory) - during the summer before you start your new undergraduate university. Earning real collegiate academic credits for Linear Algebra and then transferring those credits to your new undergraduate college/university is an excellent way to start your new school with some advanced mathematics credits under your belt.

Some very eager students may finish Calculus I (AB) and Calculus II (BC) during their junior year of high school. For these students, enrolling in Linear Algebra, and perhaps Multivariable Calculus and Differential Equations, via Distance Calculus @ Roger Williams University is an excellent way to FINISH your lower division mathematics courses even before you step foot onto your new college/university campus the following Fall semester!

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

Chester F.★★★★
Posted: May 21, 2020
Courses Completed: Calculus I, Calculus II
I did not enjoy Calculus I at my school. I retook Calculus I, and then Calculus II, over the summer via Distance Calculus and it was awesome. I started my sophomore year back on track and ready for my physics classes. I struggled with the MathLive software but I guess it was alright.
Transferred Credits To: University of North Carolina
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
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
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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