*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.*

*Once you find your worksheet(s), you can either click on the pop-out icon or download button to print or download your desired worksheet(s). Please note that you can also find the download button below each document.*

##### 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.