GRE Mathematics Multivariable Calculus?

Question

I'm studying for the GRE subject test on 4/5, and I've been going through the princeton review book, which seems to be the canonical guide. In the multivariable section the theorems are pretty basic, they only mention green's theorem, and omit Stokes, Gausses Theorem, Surface integrals, if not more. Is this because these theorems are not tested on the subject test? In that vein does anybody know of a more comprehensive list of topics other than what is on the ets site? Thanks.

Answer 1

Greetings! I see you are inquiring about the GRE Mathematics Subject Area Test.

They kept Green's Theorem and omitted others due to the rigor of Gauss, Stokes and especially Surface Integrals. Surface Integral problems are too long to solve for a standardized test.

Make sure to have a strong foundation of Calculus concepts:

1. Forward and Anti-derivatives,
2. Area under one curve,
3. Area between two Curves
4. partial fraction decomposition,
5. Trigonometric integrals,
6. Integration by Parts, (definitely integration by parts)
7. Surface Area,
8. Arc Length
9. Volume of Revolution,
10. Power Series (Taylor and McLauren)
11. All the tests for convergence and divergence
12. up to double and triple integrals with Green's Theorem.

Advanced Calculus is also too rigorous for standardized testing.