Chapter Comments

• This chapter draws on your knowledge from Chapter 11 about parametrizations and from Chapter 13 about vectors. We combine these two topics to create a new kind of function, called a vector function, that allows to construct and study new kinds of curves and other objects.

• In particular, vector functions are useful for studying the motion of an object traveling along a given path. As with parametric equations in Chapter 11, as you study vector functions you will want to imagine an object, such as a particle, in motion.

Chapter Contents

• §14.1 Vector Functions and Space Curves

• §14.2 Derivatives and Integrals of Vector Functions

• §14.3, §14.4 Arc Length and Curvature & Motion in Space: Velocity and Acceleration

Chapters 13 and 14 Sample Test Items and Sample Solutions

This document is part of the Math 2433: Calculus and Analytic Geometry III course designed for the Independent Study Department in the College of Continuing Education at the University of Oklahoma, Norman.

Go to:

• Calculus III Syllabus

• Table of Contents for Chapter 11: Parametric Equations and Polar Coordinates
• Table of Contents for Chapter 12: Infinite Sequences and Series
• Table of Contents for Chapter 13: Vectors and the Geometry of Space