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Differential Equations, Multivariable Calculus, Linear Algebra for Advanced High School Students

Many excellent high school students will finish Calculus AB (Calculus I) and Calculus BC (Calculus II) during their junior or senior year of high school, and look to take more mathematics courses during high school. Yet, in most high schools, Calculus II is the highest course offered.

Some very awesome students may finish Calculus I (AB) and Calculus II (BC) during their junior year of high school. For these accelerated students, enrolling in Differential Equations, Linear Algebra, and perhaps multivariable calculus, honors multivariable calculus, honors vector analysis, honors calculus 4, honors calculus IV, 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!

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, and perhaps even Differential Equations and/or Calculus-Based Statistics (Probability Theory) - during your senior year or 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.

Here is a video about our Linear Algebra course via Distance Calculus @ Roger Williams University:






Multivariable Calculus & High School

Linear Algebra Course






After AP Calculus for High School Students



Multivariable Calculus course can best be described as a "the first semester course of Differential and Integral Calculus to functions of many variables".

This course has many names, all being equivalent:
  • Calculus III
  • Calculus IV
  • Vector Calculus
  • Calculus of Many Variables
  • Calculus of Several Variables
At Distance Calculus, we call our "Multivariable Calculus" course as Multivariable Calculus - DMAT 355 - 4 credits.

Below are some links for further information about the Multivariable Calculus 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
Samuel H.★★★★
Posted: Jun 2, 2021
Courses Completed: Linear Algebra
Nothing but praise for Dr. Curtis. He's an excellent professor who is very responsive and knowledgeable. I did this course at night while working full-time, and I often skyped him late in the evening with questions. He never took long to respond, regardless of when it was. I finished this course in about a month and a half, and I worked for it. For those looking for an easy A, this is not it. You will have to put in serious work, but you will come out of the course with a good understanding of the material, especially if you apply yourself throughout the entirety of the course.
Email: samuel.howell@g.fmarion.edu
Transferred Credits To: Francis Marion 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
M M.★★★★★
Posted: Feb 8, 2026
Courses Completed: Precalculus, Calculus I
The courses were excellent. Very flexible and engaging and the platform offers a lot of upper-level courses. Dr. Curtis is an outstanding professor and very responsive. I would take again.
Transferred Credits To: None yet
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