Linear algebra and Multivariable calculus prerequisites for Stochastic Calculus

Which topics are considered "graduate-level" for the following subjects:

• Linear algebra
• Multivariable calculus

On Internet, it is said that you need "graduate level" Linear algebra and multi-variable calculus for understanding Stochastic calculus, but topics are not mentioned.

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I would definitely add being very comfortable with measure-theoretic Probability and Real Analysis. –  gt6989b Oct 23 '12 at 15:59
@gt6989b, thanx, but subject/topics that you mentioned are my step number 2, but I also learned from net that you need some LA and MVC, how much is my question, I am an engineer, if I already know this "how much", then I cam happily start with RA and Measure theory –  Vikram Oct 23 '12 at 16:07

For graduate-level multivariable calculus, you need to understand rigorous proofs regarding integration and differentiation in $\Bbb R^n$, as well as analytic properties of differential forms. This differs from undergraduate multivariable calculus, which again is typically computational, and focuses on vector calculus and use of Green's/Stoke's Theorems, rather than their construction and proof.