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.
Basically, you need to understand the abstract properties of Linear Algebra, e.g. group theoretic properties, etc. This is in contrast to "undergraduate" Linear Algebra, which focuses primarily on computational aspects and some basic algebraic properties (e.g. rank-nullity theorem, etc.).

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.
Basically, you need to understand the abstract properties of Linear Algebra, e.g. group theoretic properties, etc. This is in contrast to "undergraduate" Linear Algebra, which focuses primarily on computational aspects and some basic algebraic properties (e.g. rank-nullity theorem, etc.).

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.