I taught a bunch of undergrad level Calculus courses and one or two Lineal Algebra classes using Strang's book. By far the most fun class I've taught, and it's

I taught a bunch of undergrad level Calculus courses and one or two Lineal Algebra classes using Strang's book. By far the most fun class I've taught, and it's very easy (and in my opinion almost mandatory) to add some numerics to it. Ok, cool, you can solve by hand Ax = b of a 3x3 matrix, now let's do it for a 1000x1000 matrix for one of many real world problems. There are also tons of very complicated advanced calculus and differential equations concepts that have direct "discrete" analogues in linear algebra, and this become glaringly obvious when trying to say discretize and solve a partial differential equation.