Calculus of Vector Valued Functions

Some of the Worksheets below are Calculus of Vector Valued Functions Worksheets, Analyze and sketch a space curve given by a vector-valued function, important Vector Operations, several examples with exercises and solutions.

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Vector-Valued Functions : Learning objectives – Analyze and sketch a space curve given by a vector-valued function, extend the concepts of limits and continuity to vector-valued functions.


Derivative Rules for Vector – Valued Functions : Important Vector Operations, …


Vector Valued Functions : Unit Tangent and Unit Normal Vectors, several problems with solutions.


Limits of Vector-Valued Functions : A vector-valued function theorem, Derivatives of Vector-Valued Function, properties of the Derivative, …


Vector-Valued Functions : Differentiation and Integration of Vector-Valued Functions, …


Vector functions and space curves : Describing the curve defined by the vector function, …


Multivariable Vector-Valued Functions : Derivatives, Linear Approximations and Differentials, the Chain Rule, Limit Definition of the Derivative for Multivariable Vector-Valued Functions.


Calculus of vector-valued functions : Homework exercises.


Differentiation and Integration of Vector-Valued Functions : Finding Intervals on Which a Curve Is Smooth, using Properties of the Derivative, important theorems, …


Introduction to Vector-Valued Functions : Calculus of Vector-Valued Functions, motion along a curve, length of curves, curvature and normal vectors, …


You you found these worksheets useful, please check out Cylindrical and Spherical Coordinates Worksheets | Lagrange Multipliers Worksheets|Triple Integrals in Cylindrical and Spherical Coordinates|Double Integrals over Rectangular Regions|Tangent Planes and Linear Approximation Worksheets|Arc Length and Curvature Worksheets.