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THE STEP-BY-STEP VIDEO COURSE IN  DIFFERENTIAL EQUATIONS

THE OFFER CONSISTS OF OVER 10 HOURS   OF INSTRUCTION BROKEN INTO LESS THAN 10-MINUTE, BITE-SIZED WEB-VIDEO CLIPS

Differential Equations

Online Video Description:  The set of videos provide a basic introduction to ordinary differential equations (ODE).  ODEs will be used to model mechanical and electrical behavior of real-life systems.  Analytical methods to solve differential equations  include:  first order separable, homogeneous and linear equations.  These methods can be extended and applied for higher order equations with constant coefficients.  The last learning module covers in detail methods in using Laplace transforms. 

Online learning for this topic includes six modules:

  • Module 1 - Introduction to DE

  • Module 2 - First Order DE

  • Module 3 - Modeling With First-Order DE

  • Module 4 - Higher-Order DE

  • Module 5 - Modeling With Higher-Order DE

  • Module 6 - Laplace Transform

Note:  For the six sample videos below and after pressing the video PLAY button, to enlarge  the video, right click on the mouse and click on the Zoom Option.  Then click on FULL SCREEN option or other option size


MODULE 1

Introduction to Differential Equations

Sample Video 1 - Introduction to Differential Equations (from Module 1)


MODULE 2

FIRST ORDER DIFFERENTIAL EQUATIONS


Sample Video 2 - First-Order Differential Equations (from Module 2)

MODULE 3

MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS


Sample Video 3 - Modeling With First-Order Differential Equations (from Module 3)



MODULE 4

HIGHER-ORDER DIFFERENTIAL EQUATIONS


Sample Video 4 - Higher Order Differential Equations (from Module 4)



MODULE 5

MODELING WITH HIGHER- ORDER DIFFERENTIAL EQUATIONS



Sample Video 5 - Modeling With Higher Order Differential Equations (from Module 5)



MODULE 6

THE LAPLACE TRANSFORM
Sample Video 6
  -  Introduction to the Laplace Transform (from Module 6)

GREAT VALUE!

  • Fully-packed content is equivalent to a $1700 college course
  • Great value when compared to a personal tutor earning  $50/hour
  • Over 10 hours of total instruction broken into 2 to 10 minute, bite-sized video clips
  • Save valuable time in searching for the logical sequence of videos
  • That's about $2 to $5 per hour depending on which option you choose below and  your time-sensitive needs
  • Step-by-Step Videos  to accelerate your learning and review process before an quiz or exam as well as during the course

Here is the Ten-Hour course layout of the differential equations  

Module 1 - Introduction to Differential Equations

  • Module 1-1 Introduction to Differential Equations
    • 1. Definitions and Terminology - Part 1
    • 2. Definitions and Terminology - Part 2
    • 3. Definitions and Terminology - Part 3
    • 4. Definitions and Terminology - Part 4
    • 5. Definitions and Terminology - Part 5
    • 6. Definitions and Terminology - Part 6
  • Module 1-2 Initial Value Problems
    • 1. Initial-Value Problems - Part 1
    • 2. Initial-Value Problems - Part 2
    • 3. Initial-Value Problems - Part 3
    • 4. Initial-Value Problems - Part 4
    • 5. Initial-Value Problems - Part 5

Module 2 - Modeling with First-Order Differential Equations

  • Module 2-1-1 Solution Curves Without A Solution
    • 1. Solutions and Curves - Part 1
  • Module 2-1-2 Autonomous First-Order DEs
    • 1. Initial-Value Problems - Part 1
    • 2. Initial-Value Problems - Part 2
    • 3. Initial-Value Problems - Part 3
  • Module 2-2-1 Separable Variables
    • 1. Separable Variables - Part 1
    • 2. Separable Variables - Part 2
    • 3. Separable Variables - Part 3
  • Module 2-3 Linear Equations
    • 1. Linear Equations - Part 1
    • 2. Linear Equations - Part 2
    • 3. Linear Equations - Part 3
    • 4. Linear Equations - Part 4
    • 5. Linear Equations - Part 5

Module 3 – Linear Models

·Module 3 - Modeling With First-Order Differential Equations

    • 1. Modeling - Part 1
    • 2. Modeling - Part 2
    • 3. Modeling - Part 3
    • 4. Modeling - Part 4
    • 5. Modeling - Part 5
    • 6. Modeling - Part 6
    • 7. Modeling - Part 7

Module 4 - Higher Order DE

·Module 4-1 - Linear Differential Equations - Basic Theory

o    1. Linear DE - Part 1

    • 2. Linear DE - Part 2
    • 3. Linear DE - Part 3
  • Module 4-2 - Homogeneous Equations
    • 1. Homogeneous DE - Part 1
    • 2. Homogeneous DE - Part 2
  • Module 4-3 - Homogeneous Differential Equations With Constant Coefficients
    • 1. Homogeneous DE With Constant Coefficients - Part 1
    • 2. Homogeneous DE With Constant Coefficients - Part 2
    • 3. Homogeneous DE With Constant Coefficients - Part 3
    • 4. Homogeneous DE With Constant Coefficients - Part 4
    • 5. Homogeneous DE With Constant Coefficients - Part 5
    • 6. Homogeneous DE With Constant Coefficients - Part 6
    • 7. Homogeneous DE With Constant Coefficients - Part 7
  • Module 4-4 - Undetermined Coefficients - Superposition Approach
    • 1. Undetermined Coefficients - Part 1
    • 2. Undetermined Coefficients - Part 2
    • 3. Undetermined Coefficients - Part 3
    • 4. Undetermined Coefficients - Part 4
    • 5. Undetermined Coefficients - Part 5
    • 6. Undetermined Coefficients - Part 6
    • 7. Undetermined Coefficients - Part 7
    • 8. Undetermined Coefficients - Part 8
    • 9. Undetermined Coefficients - Part 9

Module 5 - Modeling With Higher-Order Differential Equations

  • Module 5 - Modeling With Higher-Order Differential Equations
    • 1  Modeling With Higher-Order DEs - Part 1
    • 2. Modeling With Higher-Order DEs - Part 2
    • 3. Modeling With Higher-Order DEs - Part 3
    • 4. Modeling With Higher-Order DEs - Part 4
    • 5. Modeling With Higher-Order DEs - Part 5
    • 6. Modeling With Higher-Order DEs - Part 6
    • 7. Modeling With Higher-Order DEs - Part 7
    • 8. Modeling With Higher-Order DEs - Part 8

Module 6 - The Laplace Transform

  • Module 6-1 - Definition of the Laplace Transform
    • 1. Definition - Part 1
    • 2. Definition - Part 2
    • 3. Definition - Part 3
  • Module 6-2 - Inverse Transforms and Transforms of Derivatives
    • 1. Inverse Transforms and Transforms of Derviatives - Part 1
    • 2. Inverse Transforms and Transforms of Derviatives - Part 2
    • 2a. Same as Part 2 but with Matlab - Part 2a
    • 3. Inverse Transforms and Transforms of Derviatives - Part 3
    • 4. Inverse Transforms and Transforms of Derviatives - Part 4
    • 5. Inverse Transforms and Transforms of Derviatives - Part 5
  • Module 6-3 - Operational Properties I
    • 1. Operational Properties I - Part 1
    • 2. Operational Properties I - Part 2
    • 3. Operational Properties I - Part 3
    • 4. Operational Properties I - Part 4
    • 5. Operational Properties I - Part 5
    • 6. Operational Properties I - Part 6
    • 7. Operational Properties I - Part 7
    • 8. Operational Properties I - Part 8
    • 9. Matlab Demo

GREAT VALUE!

  • Fully-packed content is equivalent to a $1700 college course
  • Great value when compared to a personal tutor earning  $50/hour
  • Over 10 hours of total instruction broken into 2 to 10 minute, bite-sized video clips
  • Save valuable time in searching for the logical sequence of videos
  • That's about $2 to $5 per hour depending on which option you choose below and  your time-sensitive needs
  • Step-by-Step Videos  to accelerate your learning and review process before an quiz or exam as well as during the course

 

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