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<title>Bryan Davenport, Bakersfield College (sophomore)</title>
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<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><st1:place =
w:st=3D"on"><st1:PlaceName
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ize:20.0pt;
  font-family:"Monotype Corsiva";color:red'>Bakersfield</span></b></st1:Pla=
ceName><b
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-family:
 "Monotype Corsiva";color:red'> <st1:PlaceType w:st=3D"on">College</st1:Pla=
ceType></span></b></st1:place><b
style=3D'mso-bidi-font-weight:normal'><span style=3D'font-size:20.0pt;font-=
family:
"Monotype Corsiva";color:red'> Math Students<o:p></o:p></span></b></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><span style=3D'font-size:16.0pt'>at the<o:p></o:p></span></b></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><span style=3D'font-size:18.0pt;font-family:"Californian FB";color:=
blue'>Spring
2010 Mathematical Association of <st1:place w:st=3D"on"><st1:country-region
 w:st=3D"on">America</st1:country-region></st1:place> Meeting,<o:p></o:p></=
span></b></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><st1:place =
w:st=3D"on"><st1:PlaceName
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ize:16.0pt'>H</span>ARVEY</b></st1:PlaceName><b
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  style=3D'mso-bidi-font-weight:normal'><span style=3D'font-size:16.0pt'>M<=
/span>UDD</b></st1:PlaceName><b
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/st1:PlaceType></b></st1:place><b
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<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><o:p>&nbsp;</o:p></b></p>

<p class=3DMsoBodyText2 style=3D'text-align:justify'>Seven <st1:place w:st=
=3D"on"><st1:PlaceName
 w:st=3D"on">Bakersfield</st1:PlaceName> <st1:PlaceType w:st=3D"on">College=
</st1:PlaceType></st1:place>
students presented posters at the spring 2010 meeting of the Mathematical
Association of America.<span style=3D'mso-spacerun:yes'>&nbsp; </span>This
year&#8217;s meeting of the Southern California/Nevada Section was held on
April 10 at <st1:place w:st=3D"on"><st1:PlaceName w:st=3D"on">Harvey</st1:P=
laceName>
 <st1:PlaceName w:st=3D"on">Mudd</st1:PlaceName> <st1:PlaceType w:st=3D"on"=
>College</st1:PlaceType></st1:place>.<span
style=3D'mso-spacerun:yes'>&nbsp; </span>The student poster session consist=
ed of
thirty-two projects presented by students from UC&#8217;s, <st1:place w:st=
=3D"on"><st1:PlaceName
 w:st=3D"on">California</st1:PlaceName> <st1:PlaceType w:st=3D"on">State</s=
t1:PlaceType>
 <st1:PlaceType w:st=3D"on">Universities</st1:PlaceType></st1:place>, Two-y=
ear
colleges, and private schools. </p>

<p class=3DMsoBodyText2 style=3D'text-align:justify'><span
style=3D'mso-spacerun:yes'>&nbsp;</span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:18=
.0pt;
font-family:"Arial Unicode MS"'>Gaussian Smoothing<o:p></o:p></span></i></b=
></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt'>Antonio Gonzalez, Adi Prieto, Sarah Stockton<o:p=
></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt'><o:p>&nbsp;</o:p></span></p>

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<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span
style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></span></b></p>

<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span
style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></span></b></p>

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src=3D"writeup10_files/image004.gif" v:shapes=3D"_x0000_i1026"><![endif]><b
style=3D'mso-bidi-font-weight:normal'><o:p></o:p></b></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal>There has been renewed interest in women&#8217;s roller
derby in recent years.<span style=3D'mso-spacerun:yes'>&nbsp; </span>This p=
roject
will examine 3D acceleration of the blocker and jammer positions, utilizing
real world data collected from <st1:City w:st=3D"on"><st1:place w:st=3D"on"=
>Bakersfield</st1:place></st1:City>&#8217;s
own Diamond Divas Roller Derby team.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>Faculty Adviso=
rs:<span
style=3D'mso-spacerun:yes'>&nbsp; </span>Liz Rozell, Natalie Burzstyn, Rick=
 Darke<o:p></o:p></i></p>

<i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:12.0pt;fon=
t-family:
"Times New Roman";mso-fareast-font-family:"Times New Roman";mso-ansi-langua=
ge:
EN-US;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><br clear=3Dall
style=3D'page-break-before:always'>
</span></i>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><span style=3D'font-size:18.0pt;font-family:Rockwell'>Natural Frequ=
ency</span></b><i
style=3D'mso-bidi-font-style:normal'><o:p></o:p></i></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt'>Scott Hillberry and Sean Howard<o:p></o:p></span=
></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

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src=3D"writeup10_files/image006.jpg" v:shapes=3D"_x0000_i1027"><![endif]></=
p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal>Every simple harmonic oscillator, such as a mass on a =
spring
or a clock&#8217;s pendulum, exhibits a natural frequency.<span
style=3D'mso-spacerun:yes'>&nbsp; </span>This frequency determines the time=
 it
takes the oscillator to complete one full revolution.<span
style=3D'mso-spacerun:yes'>&nbsp; </span>This project investigates how forc=
ing a
pendulum out of its natural frequency using an electromagnet will decrease =
the
amplitude of its path.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>Faculty Adviso=
r: <st1:PersonName
w:st=3D"on">Rebecca Head</st1:PersonName><o:p></o:p></i></p>

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"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:EN-US;
mso-bidi-language:AR-SA'><br clear=3Dall style=3D'page-break-before:always'>
</span>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><span style=3D'font-size:18.0pt;font-family:Complex'>Perceptions and
Dimensions </span></b></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt'>Sean Howard and Scott Hillberry<o:p></o:p></span=
></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

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p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify'>Dimensions are an abstract
concept that has fostered numerous theories and definitions.<span
style=3D'mso-spacerun:yes'>&nbsp; </span>From fractal dimensions to a fourt=
h dimension
of space, the limits are beyond our imagination.<span
style=3D'mso-spacerun:yes'>&nbsp; </span>We present these different definit=
ions
and acknowledge the validity of their claims.<span
style=3D'mso-spacerun:yes'>&nbsp; </span>Amid this, we present the
&#8220;Hillberry-Howard Definition&#8221; in which we consider the fourth
dimension to be a dimension of time, utilizing coordinate planes and the
observable dimensions to aid us.</p>

<p class=3DMsoNormal style=3D'text-align:justify'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'text-align:justify'><i style=3D'mso-bidi-font=
-style:
normal'>Faculty Advisor:<span style=3D'mso-spacerun:yes'>&nbsp; </span>Rebe=
cca
Head<o:p></o:p></i></p>

<span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-fareast-f=
ont-family:
"Times New Roman";mso-ansi-language:EN-US;mso-fareast-language:EN-US;
mso-bidi-language:AR-SA'><br clear=3Dall style=3D'page-break-before:always'>
</span>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:18.0pt;font-family:Rockwell'>CONQUERING GOLIATH<o:p></o:=
p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt'>Jared Ogden<o:p></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><!--[if gte=
 vml 1]><v:shape
 id=3D"_x0000_i1029" type=3D"#_x0000_t75" style=3D'width:354.75pt;height:25=
3.5pt'>
 <v:imagedata src=3D"writeup10_files/image009.jpg" o:title=3D"msoFC92B"/>
</v:shape><![endif]--><![if !vml]><img width=3D473 height=3D338
src=3D"writeup10_files/image010.jpg" v:shapes=3D"_x0000_i1029"><![endif]><s=
pan
style=3D'font-size:14.0pt'><o:p></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt;font-family:"Script MT Bold";color:#FFCC00'><o:p>=
&nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:16.0pt;font-family:"Old English Text MT";color:#FFCC00'>=
<o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal>This project investigates the mathematics and physics
associated with roller coasters&#8217; most thrilling and forceful parts.<s=
pan
style=3D'mso-spacerun:yes'>&nbsp; </span>Using vector calculus we can deter=
mine
components of acceleration associated with the G-forces experienced by the
riders.<span style=3D'mso-spacerun:yes'>&nbsp; </span>We can then compare t=
hose
forces with other situations involving G-forces.<span
style=3D'mso-spacerun:yes'>&nbsp; </span>In particular we are observing the=
 hyper
coaster Goliath at the nearby amusement park <st1:place w:st=3D"on"><st1:Pl=
aceName
 w:st=3D"on">Six</st1:PlaceName> <st1:PlaceName w:st=3D"on">Flags</st1:Plac=
eName> <st1:PlaceName
 w:st=3D"on">Magic</st1:PlaceName> <st1:PlaceType w:st=3D"on">Mountain</st1=
:PlaceType></st1:place>.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>Faculty Adviso=
r:
Rebecca Head<o:p></o:p></i></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<b style=3D'mso-bidi-font-weight:normal'><span style=3D'font-size:12.0pt;
font-family:"Times New Roman";mso-fareast-font-family:"Times New Roman";
mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'=
><br
clear=3Dall style=3D'page-break-before:always'>
</span></b>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><span style=3D'font-size:20.0pt;font-family:"Harlow Solid Italic"'>=
Dancing
Integrals<o:p></o:p></span></b></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt'>Wendy Wisheropp and Adi Prieto<o:p></o:p></span>=
</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:14.0pt'><o:p>&nbsp;</o:p></span></p>

<div align=3Dcenter>

<table class=3DMsoTableGrid border=3D0 cellspacing=3D0 cellpadding=3D0 widt=
h=3D466
 style=3D'width:4.85in;border-collapse:collapse;mso-yfti-tbllook:480;mso-pa=
dding-alt:
 0in 5.4pt 0in 5.4pt'>
 <tr style=3D'mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes'>
  <td width=3D110 valign=3Dtop style=3D'width:82.75pt;padding:0in 5.4pt 0in=
 5.4pt'>
  <p class=3DMsoNormal align=3Dright style=3D'text-align:right'><!--[if gte=
 vml 1]><v:shape
   id=3D"_x0000_i1030" type=3D"#_x0000_t75" style=3D'width:69.75pt;height:3=
24pt'>
   <v:imagedata src=3D"writeup10_files/image011.jpg" o:title=3D"msoBD46F"/>
  </v:shape><![endif]--><![if !vml]><img width=3D93 height=3D432
  src=3D"writeup10_files/image012.jpg" v:shapes=3D"_x0000_i1030"><![endif]>=
<span
  style=3D'font-size:14.0pt'><o:p></o:p></span></p>
  </td>
  <td width=3D355 valign=3Dtop style=3D'width:266.45pt;padding:0in 5.4pt 0i=
n 5.4pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbs=
p;</o:p></p>
  <p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbs=
p;</o:p></p>
  <p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><!--[if g=
te vml 1]><v:shape
   id=3D"_x0000_i1031" type=3D"#_x0000_t75" style=3D'width:244.5pt;height:2=
67.75pt'>
   <v:imagedata src=3D"writeup10_files/image013.jpg" o:title=3D"mso6C657"/>
  </v:shape><![endif]--><![if !vml]><img width=3D326 height=3D357
  src=3D"writeup10_files/image014.jpg" v:shapes=3D"_x0000_i1031"><![endif]>=
<span
  style=3D'font-size:14.0pt'><o:p></o:p></span></p>
  </td>
 </tr>
</table>

</div>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></sp=
an></p>

<p class=3DMsoNormal>This project looks at a female body while doing what is
known as a &#8220;pencil&#8221; turn in dance.<span
style=3D'mso-spacerun:yes'>&nbsp; </span>We&#8217;ve modeled the body by
combining different surfaces and have found the different moments of inertia
for various turning positions.<span style=3D'mso-spacerun:yes'>&nbsp; </spa=
n>We
were also able to compare the volume of the body graphed and the actual bod=
y to
see how accurate we were in our development of the graph.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><i style=3D'mso-bidi-font-style:normal'>Faculty Adviso=
r:<span
style=3D'mso-spacerun:yes'>&nbsp; </span><st1:PersonName w:st=3D"on">Rebecc=
a Head</st1:PersonName><o:p></o:p></i></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b style=3D=
'mso-bidi-font-weight:
normal'><span style=3D'font-size:16.0pt;font-family:"Monotype Corsiva";
color:red'>Participants and Friends from <st1:place w:st=3D"on"><st1:PlaceN=
ame
 w:st=3D"on">Bakersfield</st1:PlaceName> <st1:PlaceType w:st=3D"on">College=
</st1:PlaceType></st1:place></span></b><span
style=3D'font-size:14.0pt;color:red'><o:p></o:p></span></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><!--[if gte=
 vml 1]><v:shape
 id=3D"_x0000_i1032" type=3D"#_x0000_t75" style=3D'width:434.25pt;height:27=
0.75pt'>
 <v:imagedata src=3D"writeup10_files/image015.jpg" o:title=3D"mso84031"/>
</v:shape><![endif]--><![if !vml]><img width=3D579 height=3D361
src=3D"writeup10_files/image016.jpg" v:shapes=3D"_x0000_i1032"><![endif]></=
p>

<p class=3DMsoNormal><span style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></sp=
an></p>

<p class=3DMsoNormal><span style=3D'font-size:16.0pt'><o:p>&nbsp;</o:p></sp=
an></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Back Row:<s=
pan
style=3D'mso-spacerun:yes'>&nbsp; </span>David Baldwin, <span class=3DSpell=
E>Ellyce</span>
Baldwin, Katie Metz, Pat Serpa</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Front Row:<=
span
style=3D'mso-spacerun:yes'>&nbsp; </span>Adi Prieto, Sarah Stockton, Liz <s=
pan
class=3DSpellE>Rozell</span>, <st1:PersonName w:st=3D"on">Becky Head</st1:P=
ersonName>,
<st1:PersonName w:st=3D"on">Donna Starr</st1:PersonName>, Scott Hillberry, =
Sean
Howard, Antonio Gonzalez, <st1:PersonName w:st=3D"on">Tom Greenwood</st1:Pe=
rsonName>.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

</div>

</body>

</html>

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