Question

Projects I can do with knowledge of Calculus and Linear Algebra

Answer 1

Perhaps you can take a look at vector analysis. You will need some basic multivariable calculus, but I think it is really interesting, and maybe even useful for data science too.

Answer 2

For Linear algebra i can recommend to build a little game engine with opengl or just from bare metal. You can use a ton of LinAl there, eg calculating orthonormal basis as local basis for normal mapping (because we need the inversion to be fast).
Another interesting thing is creative coding, where one may try to represent certain functions groups or rings with different representation techniques. There calculus may be a great excursion too

Answer 3

Not too sure about calculus, but there is so much you can do with linear algebra in R. These topics might be a bit beyond the scope of a first lin alg course, but you can look into matrix decompositions like SVD and QR, and even PCA can be useful for ML and data analysis. The book I used to learn about these things was Numerical Linear Algebra by Trefethen and Bau, and each of the topics I mentioned have applications in data science and are implementable in R.

Answer 4

Look at calculus based physics for Calculus.

Answer 5

If you are interested in programming you can skim through an *intro to
numerical analysis* book

ED: I would suggest something from a more applied perspective like
physics or so.  Pure mathematical numerical analysis can be super
boring.

Answer 6

Without googling, can you write a program that calculates (an approximation of) the first derivative of a function at some point?