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

Lauren B.★★★★★

Posted: May 5, 2025

Courses Completed: Linear Algebra, Probability Theory

You don’t just learn in this course you understand. As someone who has always struggled with math taking advanced courses was intimidating. Dr. Curtis and his TAs made math manageable and framed the questions in a way they were applicable to real world. Thanks again!

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

Mark L.★★★★★

Posted: Sep 6, 2020

Courses Completed: Applied Calculus

Great course. Because of this class I was able to meet the entry requirements for my EMBA program on a tight time window in addition to sharpening math skills from classes taken over 15 years ago!

Transferred Credits To: MIT

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

Tanja B.★★★★★

Posted: Jan 28, 2026

Courses Completed: Calculus I

After two failed attempts at my university, this course helped me understand Calculus. The live maths tool along with Dr. Curtis were especially helpful, allowing me to visualize concepts and expand my understanding. The explanations were clear, the examples practical, and I could learn at my own pace, which built my confidence. Thank you.

Transferred Credits To: University of Namibia

Henry F.★★★★★

Posted: Dec 18, 2025

Courses Completed: Differential Equations

Transferred Credits To: Saint Joseph High School