02-04-2011, 02:09 PM
PRESENTED BY:
Dr. Dillon
[attachment=11570]
Laplace Transforms
What Are Laplace Transforms?
A Laplace transform is an example of an improper integral : one of its limits is infinite.
A Calculation
To What End Does One Use Laplace Transforms?
Then What?
How Do You Transform an Differential Equation?
How Do You Find Inverse Laplace Transforms?
Inverse Laplace Transforms
Why Use Such Dangerous Machines?
When Might You Have To?
Impulse?
The Dirac Delta Function
The Laplace Transform of the
Dirac Delta Function
Beware!
Typical Scenario
What Do We Expect You to Be Able to Do?
Know the definition of the Laplace transform
Know the properties of the Laplace transform
Know that the inverse Laplace transform is an improper integral
Know when you should use a Laplace transform on a differential equation
Know when you should not use a Laplace transform on a differential equation
Be able to solve IVPs using Laplace transforms…
Dr. Dillon
[attachment=11570]
Laplace Transforms
What Are Laplace Transforms?
A Laplace transform is an example of an improper integral : one of its limits is infinite.
A Calculation
To What End Does One Use Laplace Transforms?
Then What?
How Do You Transform an Differential Equation?
How Do You Find Inverse Laplace Transforms?
Inverse Laplace Transforms
Why Use Such Dangerous Machines?
When Might You Have To?
Impulse?
The Dirac Delta Function
The Laplace Transform of the
Dirac Delta Function
Beware!
Typical Scenario
What Do We Expect You to Be Able to Do?
Know the definition of the Laplace transform
Know the properties of the Laplace transform
Know that the inverse Laplace transform is an improper integral
Know when you should use a Laplace transform on a differential equation
Know when you should not use a Laplace transform on a differential equation
Be able to solve IVPs using Laplace transforms…