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 LANGUAGE Mathematica NONLINEAR EQUATIONS Major Chemical

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

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]

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

Worksheet of Bisection Method [PDF] [NB]

Convergence Worksheet of Bisection Method [PDF] [NB]

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

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

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] [NB]

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

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

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

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

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

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

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] [NB]

Convergence Worksheet of Secant Method [PDF] [NB]

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

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

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]

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