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Metric space ℝ^n. Multivariable calculus.

Partial derivatives, differential, directional derivative, gradient.

Higher-order derivatives and differentials.

Substitution of variables in differential expressions.

Multiple and iterated limits of functions of several variables.

Differentiation of complex and implicitly defined functions.

Tangent plane and normal to an explicitly defined surface.

Tables and Formulas

Derivative Table.

Table of Derivatives of Composite Functions.

Table of Higher Order Derivatives.

Table of Integrals

Taylor Series

Comparison of functions O(f) and o(f).