LESSON NOTES MENU
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Calculus III
Topic: Vector-Valued Functions
Subtopic: Calculus of VV Functions

Overview

All calculus operations such as differentiating and integrating can be applied to vector valued (VV) functions as they are to singel-variabled functions. Startign with the definition of functions as a ratio of the change in the vector-valued function over a change in time, we work thorugh various calculus operations in 3D. Fun stuff!

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: tangent vector, unit tangent vector, velocity vector

Supplemental Resources (optional)

Dale Hoffman's Contemporary Calculus III: Derivatives & Antiderivatives of Vector-Valued Functions (study the calculus processes of VV functions and "Tangent Vectors" sections; save "Velocity" and "Acceleration" sections for a later lesson)

Paul's OL Notes - Calc III: Calculus with Vector Functions

More tutorial videos if you need them are listed at James Sousa's MathIsPower4U - Calc II. Scroll down right column to "Vector Valued Functions". There are several related titles in the first half of that list.