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Overview of the Course

- Entire course taught by working example problems.
- Every problem worked step-by-step..
- We begin with easier topics such as Linear Indepdence, etc.
- This builds confidence in the student!

- Covers: Higher order Solution Methods, Wronskian matrix test,
  Complex Solutions, Variation of Parameters, Method of
   Undetermined Coefficients, and more!

- Learn at your own pace: Rewind, Pause, Replay as needed.
- Value: Entire DVD costs less than an hour of private tutoring!

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Total Course Run Time: 10 Hours

Disk 1
Sect 1: Intro to Higher Order Differential Equations
Sect 2: Identifying Linear Ordinary Differential Equations (ODEs)
Sect 3: Solving Elementary Higher Order ODEs
Sect 4: The Linear Differential Operator
Sect 5: The Wronskian Test For Linearly Independent Solutions
Sect 6: Wronskian Problems

Disk 2
Sect 7: Homogeneous ODEs - Constant Coefficients & Real Roots – Part 1
Sect 8: Part 2 of Above
Sect 9: Part 3 of Above
Sect 10: Homogeneous ODEs - Constant Coefficients & Complex Roots – Part 1
Sect 11: Part 2 of Above
Sect 12: Part 3 of Above
Sect 13: Non-Homogeneous ODEs – Undetermined Coefficients – Part 1
Sect 14: Part 2 of Above
Sect 15: Part 3 of Above

Disk 3
Sect 16: Part 4 of Above
Sect 17: Part 5 of Above
Sect 18: Part 6 of Above
Sect 19: Non-Homogeneous ODEs – Variation of Parameters – Part 1
Sect 20: Part 2 of Above
Sect 21: Part 3 of Above
Sect 22: Part 4 of Above

Detailed Description
Solving higher order differential equations is challenging for most students simply because the solution methods usually run several pages in length even for the easier problems.  The student must identify the type of equation to solve and apply the appropriate solution method, which can lead to valuable lost time on an exam if the wrong solution method is chosen at the outset.

We begin by showing the student real life applications of second order and higher ODEs to provide motivation for the material.  Next, we show how to solve elemenary second order ODEs, and show the student that all solutions have a similar form.

Next, we discuss linear independence of solutions and show the students how to use the wronskian test to determine of a set of functions describe the entire solution space of the ODE.

We then get into the core solution techniques which revolve around constant coefficient differential equations.  We examine the case where the roots of the characteristic polynomial are real and complex separately, to give the student a good grounding in what to do in either case.

Next, we work several problems using the method of undetermined coefficients which allow us to solve higher order ODEs that are more complex.  Every step is shown in the solution, and emphasis is placed on showing the student how to properly find the Annihilator function for the right hand side of the equation in the solution.

Finally, we use the method of Variation of Parameters to solve several equations and give the student practice in working these problems step by step.

Every problem is fully worked with no steps skipped.  The easiest way to learn differential equations is to learn-by-doing, and this is what this DVD set provides.

How are the MathTutorDVD.com line of DVDs different?
The answer is simple.  Most math instruction involves a lengthy discussion of the theory behind the Math before instructing the student in how to solve problems.  In the vast majority of the cases the student quickly gets bored  and frustrated by the time he or she starts to solve the problems. This DVD, in contrast, teaches all of the concepts by working fully worked problems step-by-step, which is a much more engaging way to learn.

Exceptional value and affordability.
MathTutorDVD.com believes in providing value for our customers.  This is a 10 Hour DVD course.  This entire DVD costs less than an hour of an in-home tutor, and you may rewatch the lessons as many times as needed to master the material!


What is our teaching style like?
All topics on this DVD are taught by working example problems.  There are no traditional lectures of background material that won't help you solve problems and improve your skills.  We believe in teaching-by-doing and that is what you will receive by watching this DVD.  Undetermined coefficients is explained, for example, by working many problems in step-by-step detail.  We begin with the easier problems and work our way up to the harder problems. 

The student immediately gains confidence, does not get bored, and quickly feels like he or she can conquer the material.  This method is extremely powerful and has proven itself time and again.  Perhaps most importantly, problem solving skills are honed early on that will help with homework and taking exams even after watching the very first lesson.

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