Comparison of intro linear algebra with calc
- calc has gobs and gobs of -stuff-
...much not very hard, but sooooo many deeper connections
- linear algebra only has a few main concepts
Calculus has lots of heavy symbol shuffling (and weird symbols), while
linear algebra has very few special symbols -- it's really
understanding stuff like = .
However, linear algebra requires lots more mathematical maturity, as
it's axiomatic and abstract, while calc can be pretty formal/easy.
-However-, a proper analysis calc class (which treats -functions- and
-continuity- formally) is just as abstractly hard as linear algebra.
A key point is that people know a -few- functions (and think they know
more), which gives them concrete support in calc class.
However, they often don't know any vector spaces or linear operators,
and thus are abstract and at sea in linear algebra.
My guess is that with lots of examples, linear algebra can be pretty
easy/concrete.