<table><tr valign='top'><td width='40%'>&nbsp;</td><td>&nbsp;</td></tr>
<tr valign='top' class='oddWeek'><td>
<div class='date'>28 April Wednesday </div>
<p class='announcement'><span class='oneDay'>Graduation!<br />
<p class='announcement'><span class='oneDay'>First day: 10:30, Newcomer 12<br />

</td><td><ul>
<li><!--00readme21.php--><span title=' (00readme21.php)'>2021 notes</span></li>
</ul>
<ul>
<li><!--mv09.1.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv09.1.php' title=''> MV functions, 3-D, traces [9.1] </a></li>
</ul>
<ul>
<li><!--mvnotability.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mvnotability.php' title=''> Notability </a></li>
</ul>
</td></tr>
<tr valign='top' class='evenWeek'><td>
<div class='date'>29 April Thursday </div>
</td><td><ul>
<li><!--mv09.2.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv09.2.php' title=''> Vectors [9.2] </a></li>
</ul>
<ul>
<li><!--mv09.3.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv09.3.php' title=''> Dot product (scalar product) [9.3] </a></li>
</ul>
</td></tr>
<tr valign='top' class='oddWeek'><td>
<div class='date'>30 April Friday </div>
</td><td><ul>
<li><!--mv09.4.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv09.4.php' title=''> Cross product (vector product) [9.4] </a></li>
</ul>
<ul>
<li><!--mv09.5.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv09.5.php' title=''> Lines and planes [9.5] </a></li>
</ul>
</td></tr>
<tr valign='top' class='evenWeek'><td>
<div class='date'>3 May Monday </div>
</td><td><ul>
<li><!--mv09.6.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv09.6.php' title=''> Vector-valued functions [9.6] </a></li>
</ul>
<ul>
<li><!--mv09.7.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv09.7.php' title=''> Derivatives and integrals of vector functions [9.7] </a></li>
</ul>
</td></tr>
<tr valign='top' class='oddWeek'><td>
<div class='date'>4 May Tuesday </div>
</td><td><ul>
<li><!--mv09.8.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv09.8.php' title=''> Arc length and curvature [09.8] </a></li>
</ul>
<ul>
<li><!--mv10.1.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.1.php' title=''> Limits and Continuity [10.1] </a></li>
</ul>
</td></tr>
<tr valign='top' class='evenWeek'><td>
<div class='date'>5 May Wednesday </div>
<p class='announcement'><span class='oneDay'>Test 1<br />

</td><td><ul>
<li><!--mv10.2.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.2.php' title=''> Partial derivatives [10.2] </a></li>
</ul>
</td></tr>
<tr valign='top' class='oddWeek'><td>
<div class='date'>6 May Thursday </div>
</td><td><ul>
<li><!--mv10.3.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.3.php' title=''> 2nd order partial derivatives [10.3] </a></li>
</ul>
<ul>
<li><!--mv10.3c.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.3c.php' title=''> Clairaut and cross derivatives [10.3] </a></li>
</ul>
<ul>
<li><!--mv10.4.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.4.php' title=''> Tangent planes and differentials [10.4] </a></li>
</ul>
</td></tr>
<tr valign='top' class='evenWeek'><td>
<div class='date'>7 May Friday </div>
</td><td><ul>
<li><!--mv10.5.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.5.php' title=''> Chain rule [10.5] </a></li>
</ul>
<ul>
<li><!--mv10.6.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.6.php' title=''> Gradient and directional derivatives [10.6] </a></li>
</ul>
</td></tr>
<tr valign='top' class='oddWeek'><td>
<div class='date'>10 May Monday </div>
</td><td><ul>
<li><!--mv10.7.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.7.php' title=''> Optimization [10.7] </a></li>
</ul>
<ul>
<li><!--mv10.8.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv10.8.php' title=''> Constrained opt: Lagrange mult [10.8] </a></li>
</ul>
</td></tr>
<tr valign='top' class='evenWeek'><td>
<div class='date'>11 May Tuesday </div>
</td><td><ul>
<li><!--mv11.1.data.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/handouts/mv11.1.data.php' title=''> 11.1 H - Double integrals from data </a></li>
</ul>
<ul>
<li><!--mv11.1.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.1.php' title=''> Double integrals over rectangular areas [11.1] </a></li>
</ul>
<ul>
<li><!--mv11.2+.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.2+.php' title=''> Area between curves [11.2+] </a></li>
</ul>
<ul>
<li><!--mv11.2.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.2.php' title=''> Iterated integrals [11.2] </a></li>
</ul>
<ul>
<li><!--mv11.2.practice.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/handouts/mv11.2.practice.php' title=''> 11.2 H - Double integrals practice </a></li>
</ul>
</td></tr>
<tr valign='top' class='oddWeek'><td>
<div class='date'>12 May Wednesday </div>
<p class='announcement'><span class='oneDay'>Test 2 <br />

</td><td><ul>
<li><!--mv11.3.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.3.php' title=''> Double integrals - general regions [11.3] </a></li>
</ul>
</td></tr>
<tr valign='top' class='evenWeek'><td>
<div class='date'>13 May Thursday </div>
</td><td><ul>
<li><!--mv11.5.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.5.php' title=''> Polar Integrals [11.5] </a></li>
</ul>
<ul>
<li><!--mv11.5.polar.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/handouts/mv11.5.polar.php' title=''> 11.5 H - Double integrals in polar coordinates </a></li>
</ul>
<ul>
<li><!--mv11.6+.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.6+.php' title=''> Surface area [11.6+] </a></li>
</ul>
<ul>
<li><!--mv11.6.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.6.php' title=''> Parametric surfaces [11.6] </a></li>
</ul>
</td></tr>
<tr valign='top' class='oddWeek'><td>
<div class='date'>14 May Friday </div>
</td><td><ul>
<li><!--mv06.1.calcv.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv06.1.calcv.php' title=''> VECTOR CALCULUS: Vector Fields [6.1] </a></li>
</ul>
<ul>
<li><!--mv06.1hike.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv06.1hike.php' title=''> Landscapes and gradient fields [6.1] </a></li>
</ul>
<ul>
<li><!--mv11.7.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.7.php' title=''> Triple Integrals [11.7] and Volumes </a></li>
</ul>
<ul>
<li><!--mv11.8+.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.8+.php' title=''> Triples...in cylindrical and spherical coordinates [11.8+] </a></li>
</ul>
<ul>
<li><!--mv11.8.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv11.8.php' title=''> Cylindrical and Spherical Coordinates [11.8] </a></li>
</ul>
</td></tr>
<tr valign='top' class='evenWeek'><td>
<div class='date'>17 May Monday </div>
</td><td><ul>
<li><!--mv06.1.grad.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv06.1.grad.php' title=''> Gradient Fields [06.1] </a></li>
</ul>
<ul>
<li><!--mv06.2.ScalarLine.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/handouts/mv06.2.ScalarLine.php' title=''> 6.2 H - Scalar line integrals </a></li>
</ul>
<ul>
<li><!--mv06.2.VisualVectorLine.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/handouts/mv06.2.VisualVectorLine.php' title=''> 6.2 H - Vector line integrals </a></li>
</ul>
<ul>
<li><!--mv06.2.a.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv06.2.a.php' title=''> Scalar Line Integrals [6.2] </a></li>
</ul>
<ul>
<li><!--mv06.2.b.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv06.2.b.php' title=''> Vector Line Integrals [6.2] </a></li>
</ul>
</td></tr>
<tr valign='top' class='oddWeek'><td>
<div class='date'>18 May Tuesday </div>
<p class='announcement'><span class='oneDay'>Please fill out a <a href="https://goshen.campuslabs.com/courseeval/">course evaluation</a> (before Wed, midnight).<br />
   Jonathan Nafziger - Natural language, 2:30 PM<br />

</td><td><ul>
<li><!--mv06.3.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv06.3.php' title=''> Fundamental Theorem: Conservative Vector Fields [6.3] </a></li>
</ul>
<ul>
<li><!--mv06.3.think.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/handouts/mv06.3.think.php' title=''> [6.3] H - Think before you compute </a></li>
</ul>
<ul>
<li><!--mv06.4.Green.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/handouts/mv06.4.Green.php' title=''> 6.4 H - Green's theorem problems </a></li>
</ul>
<ul>
<li><!--mv06.4.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gco/mv06.4.php' title=''> Fundamental Theorem: Green's Theorem [6.4] </a></li>
</ul>
<ul>
<li><!--zLineIntegrals.php--><a 
 href='https://people.goshen.edu/~paulmr/physix/213/gcn/zLineIntegrals.php' title='
'>Line Integrals SUMMARY</a></li>
</ul>
</td></tr>
<tr valign='top' class='evenWeek'><td>
<div class='date'>19 May Wednesday </div>
<p class='announcement'><span class='oneDay'>Test 3<br />
   Please fill out the <a href="https://palni.libwizard.com/f/SP21">PALNI textbook survey</a><br />

</td><td></td></tr>
</table>