Computational Methods: Numerical Methods for Solving Nonlinear Equations


Learning Objectives

Upon successful completion of this module, you will be able to:

1) find the solutions of quadratic equations,

2) derive the formula for the solution of quadratic equations,

3) solve simple physical problems involving quadratic equations.

 

Videos

Title: Title:  Background of Bisection Method – Introduction

Summary: Learn what the bisection method of solving nonlinear equations is based on.

Learning Objectives: After watching this video, you will be able to identify the conditions under which a root exists and its use for developing the bisection method.

Transcript: Read the transcript

Annotated Slides: View slides with annotations


Title:  Background Example for Newton-Raphson Method

Summary: Learn what the Newton-Raphson method is based on. First, we revisit the concept of a tangent line, its relationship with the first derivative of a function and where a tangent line crosses the x-axis.

Learning Objectives: After watching this video, you will be able to find how the tangent line at a point in function determines the estimate of the root of a function.

Transcript: Read the transcript

Annotated Slides: View slides with annotations (not available as it is not a PPT)