Transforming Numerical Methods Education for the STEM Undergraduate MOBILE | VIDEOS | BLOG | YOUTUBE | TWITTER | COMMENTS | ANALYTICS | ABOUT | CONTACT | COURSE WEBSITES | BOOKS | MATH FOR COLLEGE |

 language Mathcad ORDINARY DIFFERENTIAL EQUATION (Change major or language) Major Computer

BACKGROUND

Pre-Requisites for Ordinary Differential Equations [PDF] [DOC]

Objectives of Ordinary Differential Equations [PDF] [DOC]

What are Ordinary Differential Equations? [PDF] [DOC]

A Primer on Ordinary Differential Equations [PDF] [DOC]

Exact Solution of 1st order ODE [YOUTUBE 6:48]

Exact Solution of 1st order ODE: Another Example [YOUTUBE 7:37]

Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation [YOUTUBE  8:50]

Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation [YOUTUBE  8:41]

Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation [YOUTUBE  9:34]

Test Your Knowledge of Background of Ordinary Differential Equation [HTML] [FLASH] [PDF] [DOC]

PHYSICAL PROBLEM

How much time will it take the ball to cool down? [PDF] [DOC]

NUMERICAL METHOD

Pre-Requisites for Euler's Method [PDF] [DOC]

Objectives of Euler's Method [PDF] [DOC]

How does Euler's method Work? [PDF] [DOC]

Euler's Method of Solving ODEs: Derivation  [YOUTUBE 9:53]

Euler's Method of Solving ODEs: Example [YOUTUBE 10:57]

Euler's Method of Estimating Integrals: Theory [YOUTUBE  7:11]

Euler's Method of Estimating Integrals: Example [YOUTUBE  8:58]

A Power Point Presentation on Euler's Method [PDF] [PPT]

Worksheet of Euler's Method [MCD]

Convergence Worksheet of Euler's Method [MCD]

Test Your Knowledge of Euler's method [HTML] [FLASH] [PDF] [DOC]

Pre-Requisites for Runge-Kutta 2nd Order Method [PDF] [DOC]

Objectives of Runge-Kutta 2nd Order Method [PDF] [DOC]

How does Runge-Kutta 2nd Order Method Work? [PDF] [DOC]

Runge-Kutta 2nd Order Method: Background [YOUTUBE 9:46]

Runge-Kutta 2nd Order Method: Formulas [YOUTUBE  10:57]

Runge-Kutta 2nd Order Method: Heun's Method  [YOUTUBE  9:27]

Runge-Kutta 2nd Order Method: Midpoint Method  [YOUTUBE  10:45]

Runge-Kutta 2nd Order Method: Ralston's Method Part 1 of 2 [ YOUTUBE 7:09]

Runge-Kutta 2nd Order Method: Ralston's Method Part 2 of 2 [ YOUTUBE 5:00]

Runge-Kutta 2nd Order Method: Derivation Part 1 of 2 [ YOUTUBE 7:08]|

Runge-Kutta 2nd Order Method: Derivation Part 2 of 2 [ YOUTUBE 5:31]

A Power Point Presentation on Runge-Kutta 2nd Order Method [PDF] [PPT]

Worksheet of Runge-Kutta 2nd Order Method [MCD]

Convergence Worksheet of Runge-Kutta 2nd Order Method [MCD]

Test Your Knowledge of Runge-Kutta 2nd Order Method [HTML] [FLASH] [PDF] [DOC]

Pre-Requisites for Runge-Kutta 4th Order Method [PDF] [DOC]

Objectives of Runge-Kutta 4th Order Method [PDF] [DOC]

How does Runge-Kutta 4th Order Method Work? [PDF] [DOC]

Runge Kutta 4th Order Method: Formulas [YOUTUBE 9:54]

Runge Kutta 4th Order Method: Example: Part 1 of 2 [YOUTUBE 9:29]

Runge Kutta 4th Order Method: Example: Part 2 of 2 [YOUTUBE 8:48]

A Power Point Presentation on Runge-Kutta 4th Order Method [PDF] [PPT]

Worksheet of Runge-Kutta 4th Order Method [MCD]

Convergence Worksheet of Runge-Kutta 4th Order Method [MCD]

Test Your Knowledge of Runge-Kutta 4th Order Method [HTML] [FLASH] [PDF] [DOC]

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

Objectives of Shooting Method [PDF] [DOC]

How Does Shooting Method Work? [PDF] [DOC]

Power Point Presentation on Shooting Method [PDF] [PPT]

Worksheet of Shooting Method [MCD]

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

Pre-Requisites for Finite Difference Method [PDF] [DOC]

Objectives of Finite Difference Method [PDF] [DOC]

How does Finite Difference Method Work? [PDF] [DOC]

Finite Difference Method of Solving Ordinary Differential Equations: Background Part 1 of 2 [YOUTUBE 3:46]

Finite Difference Method of Solving Ordinary Differential Equations: Background Part 2 of 2 [YOUTUBE 8:40]

Finite Difference Method: Example Beam: Part 1 of 2  [YOUTUBE 6:13]

Finite Difference Method: Example Beam: Part 2 of 2  [YOUTUBE 6:21]

Finite Difference Method: Example Pressure Vessel: Part 1 of 2  [YOUTUBE 9:55]

Finite Difference Method: Example Pressure Vessel: Part 2 of 2  [YOUTUBE 9:50]

A Power Point Presentation on Finite Difference Method [PDF] [PPT]

Worksheet of Finite Difference Method [MCD]

Test Your Knowledge of Finite Difference Method [HTML] [FLASH] [PDF] [DOC]

ANECDOTES

On Solving Higher Order and Coupled Ordinary Differential Equations [PDF] [DOC] [MCD]

Euler [HTML] [PDF] [DOC]

Runge [HTML] [PDF] [DOC]

Kutta [HTML] [PDF] [DOC]