| No one, and let me repeat that, no one "gets" linear algebra, differential equations, or frequency domain on the first pass. It takes years to absorb and multiple passes. See: Bruner / Spiral Curriculum. Ebbinghaus / Spacing effect Hattie / Deep-surface-transfer learning Chunking ("How People Learn" has a good copy on this) Etc. The way you do this is you take a course, and then you take more courses. After a few years, it all connects and makes sense. The first course, I find, is often best short, simplified, and applied. Once you get through that, you can go deeper. Different angles are nice too. For linear algebra: - Quantum computing - Statistics and probability - Machine learning - Control theory - Image processing - Abstract algebra / groups / etc. - Computer graphics All come to mind. On a mile-high level, this course seems ideal for a first pass. On a detailed level, I'm confused by some licensing issues. |
At least that was my experience when I taught it. See https://bentilly.blogspot.com/2009/09/teaching-linear-algebr... for more detail on my experience.