[naillo]

It's funny how differential equations just boil down to plain linear algebra when you restrict yourself to the discrete time domain setting. I feel like courses like this should lead with that to save time for people who will primarily handle them inside computers.

[iamcreasy]

I took a traditional differential equation course, and a separate linear algebra course. Loved both of them.

Do you know any course/book to connect this two courses?

[selimthegrim]

Strang has one although it kind of buried the lede on the linear algebra in my opinion. Try some of the older DE texts (Coddington) or an older Schaum’s outline

[zeroonetwothree]

In my college linear algebra was a prereq for diff eq for this reason

[kstrauser]

“Just”.

I suspect that an MIT course would be more interesting than “here’s the class in one sentence. See you next semester!”

[ok123456]

He's not wrong. It just takes a semester or two to get there.

[ghaff]

As I recall from a (very) long ago differential equations course at MIT, the intro DiffEQ course was very cookbook and, while necessary for some things like system dynamics, weren't super-interesting. (Not that I was ever very good at math.) I did always think it was cool though that you had "imaginary" i terms and they eventually disappeared and you had a real-world result.

Never took linear algebra but I gather it was embedded in other courses in various guises largely pre-computer.