Abstract Algebra: Linear Groups

A first discussion on Linear Matrix Groups from the Computational Abstract Algebra course, following the textbook *Algebra - A Computational Approach* by John Scherk for DMAT 431 from 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
Rebecca Johnson★★★★★
Posted: Feb 19, 2020
Courses Completed: Applied Calculus
I took the Business Calculus course from Distance Calculus in 2013. I was admitted to my MBA program, but then they told me I needed to take Calculus before starting the program. I finished the Business Calculus course in about 3 weeks in August before my program started. Not the most fun thing to do over the summer, but at least I got it done. Thanks Diane and Distance Calculus team!
Transferred Credits To: Kellogg MBA Program
Cristian Mojica★★★★★
Posted: Jan 8, 2021
Courses Completed: Probability Theory
A fantastic course! I was able to complete it in about half a year (with a few gaps) alongside other coursework I was completing. There are no deadlines except the one-year mark after registering, so you work at your own rate and schedule.

Probability Theory is required for me to apply to Master's programs in Statistics, so I was glad when I found Distance Calculus. While the course was slightly less difficult than I originally expected, there were parts that definitely slowed me down and made me think. (Also, although calculus is not everywhere in the course, it is everywhere in normal and exponential variables and beyond, so make sure to review derivatives and integrals (single and double)!) I used Mathematica for my software, and it helped speed along calculations and proved to be the perfect stage and tool for this material. I think visual learners will absolutely revel in how the material is presented in this course. (I know I did!) As there is plenty of writing and calculation to do, you have many opportunities to develop and strengthen your voice as a mathematician. The modern format of 80% electronic notebook work and 20% handwritten work is an excellent mixture for studying probability theory and grasping its core ideas. Dr. Curtis is clear in his answers to any questions and concerns you may have and is highly responsive to email and chat, and to responses you leave in your notebooks. He truly wants to help you and to see you succeed, and he is always on your side.

I highly recommend Probability Theory with Distance Calculus!
Email: comojica@ucdavis.edu
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
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
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