Good source of problems for multivariate calculus

[eof]

Hi,

I have this qualifying exam coming up in about a month for my Ph.D. program in math. I just noticed that my European undergraduate education covered nothing about actually calculating any tricky integrals. It was only about Riemann sums and proving properties of the integral which I know very well including the theory of differential forms.

I noticed that old exams had some questions where you had to evaluate some tricky integral. Does anyone know a good source of tricks and problems for integrals i.e. something where you could get to hammer on non-trivial problems involving Green's Gauss' and Stokes' theorem?

Thanks.

 

[jvicens]

Hi there,

Congratulations on your upcoming Ph.D. qualifying exam! It sounds like you have a strong foundation in integral theory and differential forms, which will definitely be helpful in tackling tricky integrals.

In terms of finding resources for practicing tricky integrals, I would recommend checking out online forums and communities dedicated to math and science. These often have sections specifically for sharing and solving challenging problems, and you may be able to find some involving Green's, Gauss', and Stokes' theorems.

Additionally, many math textbooks have sections or entire chapters dedicated to solving integrals, so you may want to review some of your old textbooks or check out new ones from your university library.

Lastly, don't forget about your professors and peers! They may have some helpful tips or practice problems for you to work on. Good luck on your exam!