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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: College Algebra
Topic: Systems and Matrices
Subtopic: Nonlinear Systems of Equations

Overview

Our focus is to extend the algebraic and graphic methods of solving linear systems to nonlinear systems. Nonlinear systems are systems of equations that include variables to powers higher than one, negative powers on variables, non-integer powers on variables, variables in the denominator, or variables in a radicand. The graphs of nonlinear equations are, of course, not straight lines! These systems of wiggly curves may have many intersection points thus many solutions to find.

As you work through this material be sure to try solving both algebraically and graphically. When solving algebraically, concentrate on when the elimination method would work or when the substitution method is the way to go.

Objectives

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

Terminology

Define: nonlinear equation, nonlinear system of equations