Fourier Transform

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1. 

   Laplace/Step Function Differential

   Khan Academy / Mathematics
   Salman Khan
   

   Hairy differential equation involving a step function that we use the Laplace Transform to solve

2. 

   Laplace Transfrom 6

   Khan Academy / Mathematics
   Salman Khan
   

   Laplace transform of cosine and polynomials!

3. 

   Laplace Transfrom 5

   Khan Academy / Mathematics
   Salman Khan
   

   Useful properties of the Laplace Transform.

4. 

   Laplace Transfrom 4

   Khan Academy / Mathematics
   Salman Khan
   

   Part 2 of getting the Laplace transform of sin(at).

5. 

   Laplace Transfrom 3

   Khan Academy / Mathematics
   Salman Khan
   

   Laplace Transform of sin(at) (part 1).

6. 

   Laplace Transfrom 1

   Khan Academy / Mathematics
   Salman Khan
   

   Introduction to the Laplace Transform.

7. 

   Laplace Transfrom 2

   Khan Academy / Mathematics
   Salman Khan
   

   Laplace transform of e^at.

8. 

   Convolution Formula: Proof, Connection with Laplace Transform, Application

   MIT / Mathematics
   Arthur Mattuck
   

9. 

   Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's

   MIT / Mathematics
   Arthur Mattuck
   

10. 

    Using Laplace Transform to Solve ODE's with Discontinuous Inputs

    MIT / Mathematics
    Arthur Mattuck
    

11. 

    Multiresolution, wavelet transform and scaling function

    MIT / Mathematics
    Gilbert Strang
    

12. 

    Introduction to Fourier Series; Basic Formulas for Period 2(pi)

    MIT / Mathematics
    Arthur Mattuck