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

Howard B.★★★★★
Posted: May 17, 2025
Courses Completed: Applied Calculus
I truly loved this class—it's one of the most enjoyable math courses I’ve ever taken.

Pros:

-- Exceptional Instruction and Support: Dr. Curtis was incredibly responsive and helpful whenever I had questions. The TA was also very supportive, and thanks to their guidance, I was proud to earn a 100% in the course—even without having taken pre-calculus beforehand.

-- Innovative Software Platform: The custom software used in the course made a huge difference for me. I found it intuitive and engaging, and it helped reinforce the concepts in a way traditional textbooks never did.

-- Thorough, Rigorous Curriculum: The structure of the course really pushed me to stay organized and plan ahead. I felt like I was being challenged in all the right ways.

Potential Considerations for Others:

-- Requires Strong Time Management: If you haven’t taken pre-calc, like me, you’ll need to be extra proactive. The course can move quickly if you need, and pacing yourself is essential.

-- Software Learning Curve: While I personally loved the software, students who aren’t comfortable adapting to new digital tools might need a bit of extra time upfront to get used to it.

-- Helpful to Have Supplementary Resources: One improvement might be to offer a short list of "starter resources" (videos, concept overviews, etc.) for students who need a broader intro to calculus before diving in.

Overall, I highly recommend this course to motivated students, especially those comfortable with self-paced learning and open to using new tools. Dr. Curtis is a fantastic instructor, and the course setup really works.
Transferred Credits To: MIT
Aiden B.★★★★
Posted: May 6, 2025
Courses Completed: Calculus II, Multivariable Calculus
Is the course perfect? No. However, it was by far the best option available. I have learned quite a few things not normally taught in a Calculus course. However, the course lacks a lot of paper solving and integrating, which is to be expected in an online course.
Teddy M.★★★★
Posted: Feb 28, 2020
Courses Completed: Precalculus, Calculus I
Pros: once you get going, you can go really fast. The visual textbook is pretty cool. The instructors were very responsive.
Cons: the movies are great, but the software crashes more than it should. Sometimes it is just a hassle doing things in the software instead of on paper, but once I got used to the software, it was ok.
Transferred Credits To: Texas Christian University
Henry F.★★★★★
Posted: Dec 18, 2025
Courses Completed: Differential Equations
Transferred Credits To: Saint Joseph High School
John ★★★★★
Posted: Nov 20, 2025
Courses Completed: Precalculus, Applied Calculus
Great course. Professor Curtis and the TAs graded quickly and gave really helpful feedback that made the class feel smooth and manageable. Definitely recommend it.
Transferred Credits To: Binghamton University (School of Managment)
Trevor★★★★★
Posted: Jun 19, 2025
Courses Completed: Calculus I
POSITIVES:
One of the best math classes I have ever taken. The lessons made the failures of my previous professors very apparent. In a few short minutes, things that I used to struggle with just clicked. This professor is top notch and really wants you to understand how to use the material.
NEGATIVES:
The SOFTWARE is extremely frustrating. Even after taking the time to learn, there are countless glitches. You learn to work around them, and overall, the software makes the math convenient, but its failures are sorely felt throughout the course. Make sure you save often as it crashes regularly, especially with graphs.
The assignments are easy enough but some of them don't line up with the taught material. Be prepared to do some of your own independent research to get a deeper understanding of why things are the way they are.
Transferred Credits To: US Army
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