Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

MOBILE | VIDEOS | BLOG | YOUTUBE | TWITTER | COMMENTS | ANALYTICS | ABOUT | CONTACT | COURSE WEBSITES | BOOKS | MATH FOR COLLEGE |Bookmark and Share


LANGUAGE

Matlab

NONLINEAR EQUATIONS

(Change major or language)

Major

Computer


BACKGROUND

Pre-Requisites for Learning Quadratic Equations [PDF] [DOC]

Objectives of Quadratic Equations [PDF] [DOC]

Get Acquainted with Solving Quadratic Equations [PDF] [DOC]

On Solving a Cubic Equation Exactly [PDF] [DOC]

Test your Knowledge on Background of Nonlinear Equations [HTML] [FLASH] [PDF] [DOC]

 

PHYSICAL PROBLEM

The float in a commode submerges to a certain depth in water. Using Newton's third law of motion and Archimedes principle, this problem of finding the depth to which the float submerges results in a nonlinear equation. [PDF] [DOC]

 

NUMERICAL METHOD

BISECTION METHOD

Pre-Requisites for Bisection Method [PDF] [DOC]

Objectives of Bisection Method [PDF] [DOC]

How does Bisection Method Work? [PDF] [DOC]

Background of Bisection Method [YOUTUBE  9:04] 

Algorithm  of Bisection Method [YOUTUBE  9:47]

Example of Bisection Method [YOUTUBE  9:53]

Advantages & Drawbacks of Bisection Method [YOUTUBE  8:31]

A Power Point Presentation on Bisection Method [PDF] [PPT]

Worksheet of Bisection Method [PDF] [MFILE]

Convergence Worksheet of Bisection Method [PDF] [MFILE]

Pitfall: Slow Convergence of Bisection Method Worksheet [PDF] [MFILE]

Test Your Knowledge of Bisection Method [HTML] [FLASH] [PDF] [DOC]

 

NEWTON-RAPHSON METHOD

Pre-Requisites for Learning Newton-Raphson Method [PDF] [DOC]

Objectives of Newton-Raphson Method [PDF] [DOC]

How does Newton-Raphson Method Work? [PDF] [DOC]

Derivation of Newton-Raphson Method [YOUTUBE 8:24]

Example for Newton-Raphson Method [YOUTUBE 10:06]

Advantages & Drawbacks for Newton-Raphson Method: Part 1 of 2 [YOUTUBE 7:09]

Advantages & Drawbacks for Newton-Raphson Method: Part 2 of 2 [YOUTUBE 4:43]

Derivation from Taylor Series of Newton-Raphson Method [YOUTUBE 7:56]

Supercomputers have No Divide Unit - A Newton-Raphson Method Approach [YOUTUBE 10:14]

Supercomputers have No Divide Unit - Example [YOUTUBE 5:23]

Finding Square Root of a Number - A Newton-Raphson Method Approach [YOUTUBE 6:34]

Finding Square Root of a Number - Example [YOUTUBE 7:03]

A Power Point Presentation on Newton-Raphson Method [PDF] [PPT]

Worksheet of Newton-Raphson Method [PDF] [MFILE]

Convergence Worksheet of Newton-Raphson Method [PDF] [MFILE]

Pitfall: Division by Zero in Newton-Raphson Method Worksheet [PDF] [MFILE]

Pitfall: Slow Convergence at Inflection Points in Newton-Raphson Method Worksheet [PDF] [MFILE]

Pitfall: Root Jumps over Several Roots in Newton-Raphson Method Worksheet [PDF] [MFILE]

Pitfall: Roots Oscillates Around Local Maxima and Minima in Newton-Raphson Method Worksheet [PDF] [MFILE]

Test Your Knowledge of Newton-Raphson Method [HTML] [FLASH] [PDF] [DOC]

 

SECANT METHOD

Pre-Requisites for Secant Method [PDF] [DOC]

Objectives of Secant Method [PDF] [DOC]

How does secant Method Work? [PDF] [DOC]

Derivation of Secant Method: Approach 1 of 2 [YOUTUBE 5:58]

Derivation of Secant Method: Approach 2 of 2 [YOUTUBE 6:59]

Algorithm  of Secant Method  [YOUTUBE  5:16]

Example of Secant Method [YOUTUBE  8:16]

A Power Point Presentation on Secant Method [PDF] [PPT]

Worksheet of Secant Method [PDF] [MFILE]

Convergence Worksheet of Secant Method [PDF] [MFILE]

Pitfall: Division by Zero in Secant Method Worksheet [PDF] [MFILE]

Pitfall: Root Jumps over Several Roots in Secant Method Worksheet [PDF] [MFILE]

Test your knowledge of secant method [HTML] [FLASH] [PDF] [DOC]

 

ANECDOTES

Quest for Cubic Equation Solution [PDF] [DOC]

Newton [HTML] [PDF] [DOC]

Raphson [HTML] [PDF] [DOC]

Galois [HTML] [PDF] [DOC]

 

 

 

 

 

AUDIENCE |  AWARDS  |  PEOPLE  |  TRACKS  |  DISSEMINATION  |  PUBLICATIONS


Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact mathforcollege@yahoo.com.   This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Matlab, MathCAD, USF, FAMU and MSOE.  Based on a work at http://nm.mathforcollege.com.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

ANALYTICS