[_ktnd]

My unworthy opinion:

Herbert Gross' “Calculus Revisited” three-part series.

https://ocw.mit.edu/courses/res-18-006-calculus-revisited-si...

https://ocw.mit.edu/courses/res-18-007-calculus-revisited-mu...

https://mitocw.ups.edu.ec/resources/res-18-008-calculus-revi...

The above is more or less “engineering math”.

The below is “normal college” math:

Edward Frenkel's Multivariable Calculus lectures:

https://www.youtube.com/playlist?list=PLaLOVNqqD-2GcoO8CLvCb...

Dr. Valerie Hower's Linear Algebra lectures:

https://youtube.com/playlist?list=PLpcwHaLYiaEXW5fLNOlItPH4A...

Interactive Linear Algebra (online “college level” textbook):

https://textbooks.math.gatech.edu/ila/

Tutorial-like Linear Algebra (interactive online textbook):

https://immersivemath.com/ila/index.html

Sheldon Axler's Linear Algebra Done Right book:

https://linear.axler.net/

Sergei Treil's Linear Algebra Done Wrong book:

https://www.math.brown.edu/streil/papers/LADW/LADW-2014-09.p...

Linear algebra and vector calculus revamped:

— Linear and Geometric Algebra by Alan Macdonald: http://www.faculty.luther.edu/~macdonal/laga/index.html

— Vector and Geometric Calculus: http://www.faculty.luther.edu/~macdonal/vagc/index.html