Differential Equations 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: Calculus 3 (Calculus III) - Multivariable Calculus and Differential Equations - during the summer before you start your new undergraduate university. Earning real collegiate academic credits for Differential Equations 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 Differential Equations, and perhaps Multivariable and Linear Algebra, 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 Differential Equations course via Distance Calculus @ Roger Williams University:

Differential Equations Course

Multivariable Calculus & High School

After AP Calculus for High School Students

Differential Equations course can best be described as a "first course in the study of differential equations of a single independent variable".

This course has many names, all being equivalent:

Ordinary Differential Equations
Introductory Differential Equations
Differential Equations of a Single Variable
DiffyQ !

Our Differential Equations 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 differential equations, both solvable (classically) via hand-based techiques, as well as studying differential equations that can only be solved and investigated graphically and numerically using a computer.

At Distance Calculus, we call our "Differential Equations" course as Differential Equations - DMAT 321 - 3 credits.

Below are some links for further information about the Differential Equations 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!

Emmy★★★★★

Posted: May 26, 2025

Courses Completed: Applied Calculus

Distance Calculus was the perfect answer to getting ahead in math over the summer of my junior year in HS. I was able to complete the entire course over the summer. The teacher was responsive and the course was understandable. Highly recommend.

Transferred Credits To: Syracuse University

Janice Flores★★★★★

Posted: Jan 13, 2020

Courses Completed: Calculus II

I highly recommend this course! Dr. Curtis is the best teacher and is ALWAYS willing to work with you to make sure you understand the subject. It was definitely a positive experience and the credits were transferred to my University with no problems! I definitely do not regret it and I had doubts in the beginning but if I had to, I would do it all over again!

Email: jflores35@knights.ucf.edu

Transferred Credits To: University of Central Florida

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