The first time I really felt I understood math in depth was my uni linear algebra course. Distance and orthogonality were replaced with a more abstract but better inner product. It behaved like an IT interface: As long as some basic properties were fulfilled, aal of linear algebra came along. Half o the examples were the usual numeric vectors and matrices, the others were integrals, etc...
There is a big range of approaches out there for teaching linear algebra. I really enjoyed my quite abstract linear algebra course, but there were a lot of other kids in it that really struggled and did not get much out of it. Takes all kinds.
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The first time I really felt I understood math in depth was my uni linear algebra course. Distance and orthogonality were replaced with a more abstract but better inner product. It behaved like an IT interface: As long as some basic properties were fulfilled, aal of linear algebra came along. Half o the examples were the usual numeric vectors and matrices, the others were integrals, etc...
I didn’t get much out of linear algebra. It felt too computational. I only really got it once I “relearned” it as part of abstract algebra
There is a big range of approaches out there for teaching linear algebra. I really enjoyed my quite abstract linear algebra course, but there were a lot of other kids in it that really struggled and did not get much out of it. Takes all kinds.