Solving Nonlinear Equations with MATLAB

Learn the basics to solving nonlinear equations in MATLAB® . Apply root-finding methods to solve nonlinear equations across fields of engineering, physics, and biology.

Course modules

Introduction

Familiarize yourself with root finding concepts and the course.

Lessons:
  • Course Overview

What is Root Finding?

Define a root of a function and root finding problems.

Lessons:
  • The Roots of a Function
  • Visualizing Roots
  • Defining the Root Finding Problem

Finding a Root: The Bisection Method

Explore the bisection method, a simple and robust root finding algorithm.

Lessons:
  • Selecting Brackets for a Root
  • The Bisection Method Algorithm

Finding a Root: The fzero Function

Use the MATLAB function fzero to find roots.

Lessons:
  • MATLAB Root Finding Functions
  • Anonymous Functions
  • The fzero Function
  • Finding Multiple Roots
  • Review - The fzero Function

Systems of Nonlinear Equations: The fsolve Function

Use the MATLAB function fsolve to solve systems of nonlinear equations.

Lessons:
  • Roots of Systems of Equations
  • Anonymous Functions for Multivariable Systems
  • The fsolve Function
  • Review - The fsolve Function

Next Steps

Give feedback on the course.

Lessons:
  • Additional Resources
  • Survey

MATLAB Onramp

Get started quickly with the basics of MATLAB.

Solving Ordinary Differential Equations with MATLAB

Use MATLAB ODE solvers to numerically solve ordinary differential equations.

Introduction to Symbolic Math with MATLAB

Get started quickly with an introduction to symbolic math.

MATLAB Onramp

Get started quickly with the basics of MATLAB.