Class Wiki - User contributions [en]

Martinez's Fourier Assignment

2010-12-13T09:03:16Z

Jonathanmartinez321:

Prove that a3 = 0 for the waveform below:

[[Image:Circuit8.png|thumb|400px|center]]

<math>\begin{align}
T &= 6 seconds\\
a_n &= \frac{2}{T}\int_0^T f(t)\cos(n\omega_0t)\, dt\\
b_n &= \frac{2}{T}\int_0^T f(t)\sin(n\omega_0t)\, dt\\
\frac{2\pi}{\omega_0}\ &= 6\\
\because \!\, T &= 6\\
\therefore \!\,\omega_o &= \frac{pi}{3}\\
a_3 &= \frac{2}{6}\int_0^6 f(t)\cos(3\omega_0t)\, dt\\
a_3 &= \frac{1}{3}[\int_2^3 \cos(\pi*t)\, dt + \int_3^4 \cos(3\omega_ot)\, dt\\
\because \!\, \omega_o &= \frac{pi}{3}\\
a_3 &= \frac{1}{3}[\frac{10}{pi}(sin(3\pi)-sin(2\pi)+\frac{5}{pi}(sin(4\pi)-sin(3\pi)]\\
a_3 &= \frac{1}{3}[\frac{10}{pi}(0)+\frac{5}{pi}(0)]\\
a_3 &= 0\\
\end{align}

Martinez's Fourier Assignment

2010-12-13T08:31:02Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[Image:Circuit8.png|thumb|400px|center]]

T=6 seconds

<math>\begin{align}
a_n &= \frac{2}{T}\int_0^T f(t)\cos(n\omega_0t)\, dt\\
b_n &= \frac{2}{T}\int_0^T f(t)\sin(n\omega_0t)\, dt\\
\because \T=6, dt\\
\end{align}

Martinez's Fourier Assignment

2010-12-13T08:30:52Z

Jonathanmartinez321:

Martinez's Fourier Assignment

2010-12-13T08:27:46Z

Jonathanmartinez321:

Martinez's Fourier Assignment

2010-12-13T08:27:33Z

Jonathanmartinez321:

Martinez's Fourier Assignment

2010-12-13T08:26:23Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[Image:Circuit8.png|thumb|400px|center]]

T=6 seconds

<math>\begin{align}
a_n &= \frac{2}{T}\int_0^T f(t)\cos(n\omega_0t)\, dt\\
\end{align}

Martinez's Fourier Assignment

2010-12-13T08:26:02Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[Image:Circuit8.png|thumb|400px|center]]

T=6 seconds
<math>\begin{align}
a_n &= \frac{2}{T}\int_0^T f(t)\cos(n\omega_0t)\, dt\\

\end{align}

Martinez's Fourier Assignment

2010-12-13T08:25:13Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[Image:Circuit8.png|thumb|400px|center]]

T=6 seconds
a_n &= \frac{2}{T}\int_0^T f(t)\cos(n\omega_0t)\, dt\\

Martinez's Fourier Assignment

2010-12-13T08:23:39Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[Image:Circuit8.png|thumb|400px|center]]

File:Circuit8.png

2010-12-13T08:23:01Z

Jonathanmartinez321:

Martinez's Fourier Assignment

2010-12-13T08:22:47Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[Image:Circuit8.png|thumb|200px|center]]

Martinez's Fourier Assignment

2010-12-13T08:21:34Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[Image:Circuit8.jpeg|thumb|200px|center]]

Martinez's Fourier Assignment

2010-12-13T08:19:24Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[File:Circuit8.jpg|thumb|400px|center]]

Martinez's Fourier Assignment

2010-12-13T08:18:08Z

Jonathanmartinez321:

Solve for a3 for the waveform below:

[[Image:Circuit8|thumb|400px|center]]

Martinez's Fourier Assignment

2010-12-13T08:15:40Z

Jonathanmartinez321:

Solve for a3 for the

Martinez's Fourier Assignment

2010-12-13T08:15:14Z

Jonathanmartinez321: Replaced content with 'Solve for a3'

Solve for a3

Martinez's Fourier Assignment

2010-11-01T06:03:59Z

Jonathanmartinez321: Created page with 'The purpose of this assignment is to solve any problem using Fourier series or Laplace transforms. I will compare the hit between a baseball bat and the baseball and the sound wa…'

The purpose of this assignment is to solve any problem using Fourier series or Laplace transforms. I will compare the hit between a baseball bat and the baseball and the sound wave it creates. It's exciting to see your favorite baseball team and hear that popping noise when the baseball is hit. When the ball hits the bat a vibration is form causing waves to form.

Fall 2010

2010-11-01T05:48:04Z

Jonathanmartinez321:

Put links for your reports here.

Links to the posted reports are found under the publishing author's name.

Please number and sort Authors alphabetically.

0. [[Banton, Alex]]
*[[Alex's Octave Assignment]]

1. [[Bidwell, Kelvin]]
*[[Kelvin's Octave Assignment]]

2. [[Blaire, Matthew]]
*[[Matthew's Octave Assignment]]

3. [[Boyd, Aaron]]
*[[ Aaron's Octave Assignment]]

4. [[Bryson, David]]
*[[David's Octave Assignment]]

5. [[Colls, David]]
*[[Colls Octave Assignment]]
*[[Fourier Series Assignment]]

6. [[Fullerton, Colby]]
*[[Colby's Octave Assignment]]

7. [[Martinez, Jonathan]]
*[[Martinez's Octave Assignment]]
*[[Martinez's Fourier Assignment]]

8. [[Morgan, David]]
*[[David Morgan's Octave Assignment]]
*[[David Morgan's Fourier Series assignment]]

9. [[Roth, Andrew]]
*[[Andrew's Octave Assignment]]
*[[Example: LaTex format]]
*[[Chapter 22--Fourier Series: Fundamental Period, Frequency, and Angular Frequency]]

10. [[Stirn, Jed]]
*[[Jed's Octave Assignment]]
*[[HW#8:Laplace Transforms/Fourier Series]]

11. [[Stringer, Robert]]
*[[Robert's Octave Assignment]]

12. [[Wooley, Andy]]
*[[Andy's Octave Assignment]]

13. [[Zimmerly, Brian]]
*[[Brian's Octave Assignment]]

Martinez's Octave Assignment

2010-10-02T00:47:41Z

Jonathanmartinez321:

== Evaluating an Integral ==

To evaluate an integral you must first define the function y = f(x). Follow the simple steps below.
----

==== Example ====
>function y= f(x)

y= sin(x);

endfunction

># We are trying to integrate x from 0,2.

>area=quad("f",0,2)

area =1.4161
----

This example shows <math>\int_{0}^{2}\sin{x}\, dx</math> where the correct answer is 1.4161.

Martinez's Octave Assignment

2010-10-01T17:56:02Z

Jonathanmartinez321:

==Evaluating an Integral==

To evaluate an integral you must first define the function y = f(x). Follow the simple steps below.

>function y= f(x)

y= sin(x);

endfunction

># We are trying to integrate x from 0,2.

>[area]=quad("f",0,2)

area = 1.4161

Martinez's Octave Assignment

2010-10-01T17:41:16Z

Jonathanmartinez321:

==Evaluating an Integral==

To evaluate an integral you must first define the function y = f(x). Follow the simple steps below.

[[>function y= f(x)
y= sin(x);
endfunction
># We are trying to integrate x from 0,2.
> [area]=quad("f",0,2)
area = 1.4161.]]

Martinez's Octave Assignment

2010-10-01T17:40:52Z

Jonathanmartinez321:

==Evaluating an Integral==

To evaluate an integral you must first define the function y = f(x). Follow the simple steps below.

>function y= f(x)
y= sin(x);
endfunction
># We are trying to integrate x from 0,2.
> [area]=quad("f",0,2)
area = 1.4161.

Martinez's Octave Assignment

2010-10-01T17:27:48Z

Jonathanmartinez321: Created page with '==Evaluating an Integral== To evaluate an integral you must first define the function y = f(x)'

==Evaluating an Integral==

To evaluate an integral you must first define the function y = f(x)

Martinez, Jonathan

2010-10-01T17:04:02Z

Jonathanmartinez321:

==Contact Info==

'''Email:''' Jonathan.Martinez@wallawalla.edu

'''Phone/Text:''' (509) 240-7160

Martinez, Jonathan

2010-10-01T17:02:42Z

Jonathanmartinez321: Created page with ''''Email:''' Jonathan.Martinez@wallawalla.edu '''Phone/Text:''' (509) 240-7160'

'''Email:''' Jonathan.Martinez@wallawalla.edu

'''Phone/Text:''' (509) 240-7160

Fall 2010

2010-10-01T17:01:56Z

Jonathanmartinez321:

Put links for your reports here.

Links to the posted reports are found under the publishing author's name.

Please number and sort Authors alphabetically.

1. [[Roth, Andrew]]
*[[Andrew's Octave Assignment]]
*[[Example: LaTex format]]
*[[Chapter 22--Fourier Series: Fundamental Period, Frequency, and Angular Frequency]]

2. [[Wooley, Andy]]
*[[Andy's Octave Assignment]]

3. [[Fullerton, Colby]]
*[[Colby's Octave Assignment]]

4. [[Colls, David]]
*[[Colls Octave Assignment]]

5. [[Martinez, Jonathan]]
*[[Martinez's Octave Assignment]]

Fall 2010

2010-10-01T17:01:47Z

Jonathanmartinez321: