[krasotkin]

Gilbert Strang advocates for more emphasis on linear algebra over calculus. Linear algebra is incredibly powerful stuff without even adding a computer into the consideration. The overlap here is so cool to me. Finite Elements, PDEs, and all sorts of engineering methods/tools live in the space where computer science and linear algebra overlap.

[duped]

How do you teach PDEs without calculus?

[krasotkin]

Definitely not without calculus! I'm imagining an approach focusing on numerical methods that would have students working on problem sets in computer labs e.g. a first problem set might include simulating a 1-D heat equation using the finite difference method.

[sgillen]

I think the idea is to teach less calculus, not no calculus.