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<meta name=dc.title content=" "> <meta name=dc.date content="2010-09-16T10:20:21-04:00"> <meta name=dc.date.modified content="2010-09-16T10:20:25-04:00"> <!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="1026"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body bgcolor=white lang=EN-US link=blue vlink=purple style='tab-interval:.5in' alink=fushia> <div class=WordSection1> <p class=MsoNormal align=center style='text-align:center'><span style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'><img width=74 height=76 id="_x0000_i1037" src="images/syllabus_2013_img_0.jpg"></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p align=center style='text-align:center'><b><span style='font-size:11.0pt'>Universidad de Puerto Rico</span></b></p> <p align=center style='text-align:center'><span class=SpellE><b><span style='font-size:11.0pt'>Recinto</span></b></span><b><span style='font-size: 11.0pt'> de <span class=SpellE>Mayagüez</span></span></b></p> <p align=center style='text-align:center'><span class=SpellE><b><span style='font-size:11.0pt'>Colegio</span></b></span><b><span style='font-size: 11.0pt'> de <span class=SpellE>Artes</span> y <span class=SpellE>Ciencias</span></span></b></p> <p align=center style='text-align:center'><b><i><span style='font-size:11.0pt'>DEPARTAMENTO DE CIENCIAS MATEMATICAS</span></i></b></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Curso</span></b></span><b><span style='font-size:11.0pt'>: </span></b><span class=SpellE><span style='font-size:11.0pt'>Cálculo</span></span><span style='font-size:11.0pt'> III </span></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Codificación</span></b></span><b><span style='font-size:11.0pt'>: </span></b><span style='font-size:11.0pt'>Mate 3063 </span></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Número</span></b></span><b><span style='font-size:11.0pt'> de <span class=SpellE>horas</span>/<span class=SpellE>crédito</span></span></b><span style='font-size:11.0pt'>: 3 </span></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Prerrequisitos</span></b></span><b><span style='font-size:11.0pt'>, <span class=SpellE>correquisitos</span> y <span class=SpellE>otros</span> <span class=SpellE>requerimientos</span></span></b><span style='font-size:11.0pt'>: Mate 3032 o Mate 3184 </span></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Información</span></b></span><b><span style='font-size:11.0pt'> del <span class=SpellE>profesor</span></span></b><span style='font-size:11.0pt'>: </span></p> <table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 width=0 style='width:0in;border-collapse:collapse;mso-yfti-tbllook:1184;mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Nombre</span></span><span style='font-size:11.0pt'> </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Dr. Dan McGee </span></p> </td> </tr> <tr style='mso-yfti-irow:1'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Horas</span></span><span style='font-size:11.0pt'> de <span class=SpellE>Oficina</span> </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>MWF:<span style='mso-spacerun:yes'>  </span>8:30-10:30</span></p> </td> </tr> <tr style='mso-yfti-irow:2'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Oficina</span></span><span style='font-size:11.0pt'> </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>M-313 </span></p> </td> </tr> <tr style='mso-yfti-irow:3'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Ext. </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>2665 </span></p> </td> </tr> <tr style='mso-yfti-irow:4;mso-yfti-lastrow:yes'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Dirección</span></span><span style='font-size:11.0pt'> <span class=SpellE>Electrónica</span> </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>daniel.mcgee@upr.edu </span></p> </td> </tr> </table> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; display:none;mso-hide:all'><o:p>&nbsp;</o:p></span></p> <table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 width=0 style='width:0in;border-collapse:collapse;mso-yfti-tbllook:1184;mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt;display:table;float:none'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Texto</span></span><span style='font-size:11.0pt'> </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Calculus: Early <span class=SpellE>Transcendentals</span>, <o:p></o:p></span></p> <p><span style='font-size:11.0pt'>Online chapters located at http://quiz.uprm.edu/calc3 </span></p> </td> </tr> <tr style='mso-yfti-irow:1;mso-yfti-lastrow:yes'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Autor</span></span><span style='font-size:11.0pt'>, <span class=SpellE>Edición</span> </span></p> <p><span style='font-size:11.0pt'>Casa <span class=SpellE>Publicadora</span> </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>James Stewart, <span class=SpellE>Sexta</span> <span class=SpellE>Edición</span>, </span></p> <p><span style='font-size:11.0pt'>Thomson Brooks/Cole (www.thomsonedu.com) </span></p> <p><span style='font-size:11.0pt'>ISBN-13:978-0-495-38343-7 </span></p> </td> </tr> </table> <p><span class=SpellE><b><span style='font-size:11.0pt'>Descripción</span></b></span><b><span style='font-size:11.0pt'> <span class=GramE>del</span> <span class=SpellE>Curso</span></span></b><span style='font-size:11.0pt'>: </span></p> <p><span class=SpellE><span style='font-size:11.0pt'>Cálculo</span></span><span style='font-size:11.0pt'> <span class=SpellE>diferencial</span> e integral de <span class=SpellE>varias</span> variables y <span class=SpellE>una</span> <span class=SpellE>introducción</span> a <span class=SpellE>las</span> <span class=SpellE>ecuaciones</span> <span class=SpellE>diferenciales</span> con <span class=SpellE>aplicaciones</span>. </span></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Objetivos</span></b></span><b><span style='font-size:11.0pt'> <span class=GramE>del</span> <span class=SpellE>Curso</span></span></b><span style='font-size:11.0pt'>: Al <span class=SpellE>terminar</span> el <span class=SpellE>semestre</span> el <span class=SpellE>estudiante</span> <span class=SpellE>será</span> <span class=SpellE>capaz</span> de: </span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>1.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>Entender</span></span><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'> los <span class=SpellE>conceptos</span> <span class=SpellE>básicos</span> de <span class=SpellE>límites</span> de <span class=SpellE>funciones</span> de dos variables </span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>2.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>Graficar</span></span><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>funciones</span> de dos variables </span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>3.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>Derivar</span></span><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>funciones</span> de dos variables <span class=SpellE>usando</span> <span class=SpellE>las</span> <span class=SpellE>reglas</span> <span class=SpellE>básicas</span> de <span class=SpellE>diferenciación</span> </span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span class=GramE><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>4.</span><span style='font-size:10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family: "Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>Usar</span></span></span><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>correctamente</span> la <span class=SpellE>regla</span> de la <span class=SpellE>cadena</span> <span class=SpellE>para</span> <span class=SpellE>derivar</span> <span class=SpellE>funciones</span> <span class=SpellE>compuestas</span> de dos o <span class=SpellE>más</span> variables </span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>5.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>Formular</span></span><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'> y resolver <span class=SpellE>problemas</span> de <span class=SpellE>optimización</span> de dos variable <span class=SpellE>usando</span> <span class=SpellE>multiplicadores</span> de Lagrange </span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>6.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>Resolver <span class=SpellE>integrales</span> <span class=SpellE>dobles</span> </span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>7.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>Aplicar</span></span><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>integrales</span> <span class=SpellE>dobles</span> <span class=SpellE>para</span> <span class=SpellE>hallar</span> <span class=SpellE>centros</span> de <span class=SpellE>masa</span> y <span class=SpellE>valores</span> <span class=SpellE>esperados</span> </span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>8.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>Resolver y <span class=SpellE>aplicar</span> <span class=SpellE>integrales</span> triples </span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>9.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>Resolver <span class=SpellE>integrales</span> triples <span class=SpellE>usando</span> <span class=SpellE>coordenadas</span> <span class=SpellE>cilíndricas</span> y <span class=SpellE>esféricas</span> </span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>10.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span style='font-size:10.0pt;mso-fareast-font-family:"Times New Roman"'>Resolver <span class=SpellE>integrales</span> <span class=SpellE>curvilíneas</span> </span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>11.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>Entender</span></span><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'> y <span class=SpellE>aplicar</span> el <span class=SpellE>teorema</span> de Green </span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>12.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>Entender</span></span><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'> y <span class=SpellE>aplicar</span> el <span class=SpellE>teorema</span> de la <span class=SpellE>divergencia</span> </span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.5in'><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'>13.</span><span style='font-size: 10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman"'> </span><span class=SpellE><span style='font-size:10.0pt;mso-fareast-font-family: "Times New Roman"'>Entender</span></span><span style='font-size:10.0pt; mso-fareast-font-family:"Times New Roman"'> y <span class=SpellE>aplicar</span> el <span class=SpellE>teorema</span> de Stokes </span><span style='mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></p> <table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 width=842 style='width:421.0pt;border-collapse:collapse;mso-yfti-tbllook:1184; mso-padding-alt:2.25pt 2.25pt 2.25pt 2.25pt'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>LECCION </span></b></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>SECCION </span></b></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>TEMAS </span></b></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>PROBLEMAS </span></b></p> </td> </tr> <tr style='mso-yfti-irow:1'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>1-2 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch. 1 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>A Coordinate System for 3D </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1036" src="images/syllabus_2013_img_2.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 1, Online quiz labeled Chapter 1 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:2'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>3 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span class=SpellE><span style='font-size:11.0pt'>Ch</span></span><span style='font-size:11.0pt'> 2 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Vectors </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1035" src="images/syllabus_2013_img_3.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 2, Online quiz labeled Chapter 2 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:3'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>4-5 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span class=SpellE><span style='font-size:11.0pt'>Ch</span></span><span style='font-size:11.0pt'> 3 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Functions in 3D </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1034" src="images/syllabus_2013_img_4.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 3, Online quiz labeled Chapter 3 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:4'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>6-7 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span class=SpellE><span style='font-size:11.0pt'>Ch</span></span><span style='font-size:11.0pt'> 4 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Linear Functions in 3D </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1033" src="images/syllabus_2013_img_5.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 4, Online quiz labeled Chapter 4 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:5'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Primer <span class=SpellE>Examen</span> <span class=SpellE>Parcial</span><o:p></o:p></span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p>To be determined</p> </td> </tr> <tr style='mso-yfti-irow:6'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>8-9 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch.5 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Partial Derivatives </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1032" src="images/syllabus_2013_img_6.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 5, Online quiz labeled Chapter 5 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:7'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>10-11 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch.6 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>The Tangent Plane and Directional Derivatives </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1031" src="images/syllabus_2013_img_7.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 6, Online quiz labeled Chapter 6 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:8'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>12 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>14.6 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Gradient Vector and Directional Derivatives </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart: 2,3,5,7,9,13,16,17, 29,31,33, </span></p> <p><span style='font-size:11.0pt'>34,36,39,41,47,49,50,52. </span></p> <p><span style='font-size:11.0pt'>Online quiz labeled Gradient quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:9'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>13-14 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch. 7 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Second Order Derivatives </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1030" src="images/syllabus_2013_img_8.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 7, Online quiz labeled Chapter 7 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:10'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'><span style='mso-spacerun:yes'> </span></span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'></td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>SEGUNDO EXAMEN PARCIAL </span></b></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>To be determined </span></b></p> </td> </tr> <tr style='mso-yfti-irow:11'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>15-17 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>14.7 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Maximum and Minimum Values </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart 2,3,5,7,9,13,16,17, 29,31,33, </span></p> <p><span style='font-size:11.0pt'>34,36,39,41,47,49,50,52. </span></p> </td> </tr> <tr style='mso-yfti-irow:12'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>18-20 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch.8 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Double Integrals in Rectangular Coordinates </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1029" src="images/syllabus_2013_img_9.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 8, Online quiz labeled Chapter 8 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:13'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>21-22 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch. 9 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Double Integrals in Polar Coordinates </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1028" src="images/syllabus_2013_img_10.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 9, Online quiz labeled Chapter 9 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:14'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>23-24 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch. 9 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Triple Integrals in Rectangular Coordinates </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1027" src="images/syllabus_2013_img_11.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 9, Online quiz labeled Chapter 10 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:15'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>25 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch. 9 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Triple Integrals in Cylindrical Coordinates </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1026" src="images/syllabus_2013_img_12.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 9, Online quiz labeled Chapter 11 quiz </span></p> </td> </tr> <tr style='mso-yfti-irow:16'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>26-27 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online </span></p> <p><span style='font-size:11.0pt'>Ch. 9 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Triple Integrals in Spherical Coordinates </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><a href="http://quiz.uprm.edu/calc3"><span style='font-size:11.0pt'>http://quiz.uprm.edu/calc3</span><span style='font-size:11.0pt;mso-no-proof:yes;text-decoration:none;text-underline: none'><img border=0 width=486 height=5 id="_x0000_i1025" src="images/syllabus_2013_img_13.jpg"></span><span style='font-size:11.0pt'> </span></a><span style='font-size:11.0pt'>, problems at the end of Chapter 12, Online quiz labeled Chapter 12 quiz</span></p> </td> </tr> <tr style='mso-yfti-irow:17'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'></td> <td valign=top style='padding:2.25pt 2.25pt 2.25pt 2.25pt'></td> <td valign=top style='padding:2.25pt 2.25pt 2.25pt 2.25pt'></td> <td valign=top style='padding:2.25pt 2.25pt 2.25pt 2.25pt'></td> </tr> <tr style='mso-yfti-irow:18'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'></td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'></td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><b><span style='font-size:10.0pt'>Tercer</span></b></span><b><span style='font-size:10.0pt'> EXAMEN PARCIAL </span></b></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>To be determined</span></b></p> </td> </tr> <tr style='mso-yfti-irow:19'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>28-29 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.1 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Campos <span class=SpellE>Vectoriales</span> </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,2,5,6,11,13,15,16,17,18, </span></p> <p><span style='font-size:11.0pt'>21,23,25,29,30,31,32,33,35. </span></p> </td> </tr> <tr style='mso-yfti-irow:20'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>30-31 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.2 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Integrales</span></span><span style='font-size:11.0pt'> <span class=SpellE>Curvilíneas</span> </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,3,7,8,9,14,15,17,19,21,25, </span></p> <p><span style='font-size:11.0pt'>29a<span class=GramE>,34,35,37,38,41,42,43</span>. </span></p> </td> </tr> <tr style='mso-yfti-irow:21'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>32 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.3 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Teorema</span></span><span style='font-size:11.0pt'> Fundamental <span class=SpellE>para</span> <span class=SpellE>Integrales</span> <span class=SpellE>Curvilíneas</span> </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,3,5,7,10,11,13,14,17,19, </span></p> <p><span style='font-size:11.0pt'>21,23,27,28,29,30,31,33. </span></p> </td> </tr> <tr style='mso-yfti-irow:22'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>33-34 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.4 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Teorema</span></span><span style='font-size:11.0pt'> de Green </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,2,7,8,9,10,11,13,15,18,19, </span></p> <p><span style='font-size:11.0pt'>21,22,23,27. </span></p> </td> </tr> <tr style='mso-yfti-irow:23'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>35-36 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.5 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Rotacional</span></span><span style='font-size:11.0pt'> y <span class=SpellE>Divergencia</span> </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,3,5,6,10,11,12a,b,d,f,h,i,k, </span></p> <p><span style='font-size:11.0pt'>13,15,18,19,23,24,25,27,29,31,33,34 </span></p> </td> </tr> <tr style='mso-yfti-irow:24'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>37-39 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.6 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Superficies <span class=SpellE>Paramétricas</span> y <span class=SpellE>sus</span> <span class=SpellE>Áreas</span> </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,3,4,11,13,14,15,16,17,18, </span></p> <p><span style='font-size:11.0pt'>19,21,23,33,35,37,39,43,45,46,49, </span></p> <p><span style='font-size:11.0pt'>51a<span class=GramE>,57</span>. </span></p> </td> </tr> <tr style='mso-yfti-irow:25'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>40-41 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.7 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Integrales</span></span><span style='font-size:11.0pt'> de <span class=SpellE>Superficie</span> </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,3,5,7,9,12,15,17,19,21, </span></p> <p><span style='font-size:11.0pt'>23,25,26,35,36,37,41,43,46. </span></p> </td> </tr> <tr style='mso-yfti-irow:26'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>42-43 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.8 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Teorema</span></span><span style='font-size:11.0pt'> de Stokes </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,3,5,6,7,9,11,13,15,17,20. </span></p> </td> </tr> <tr style='mso-yfti-irow:27'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>44-45 </span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>16.9 </span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span class=SpellE><span style='font-size:11.0pt'>Teorema</span></span><span style='font-size:11.0pt'> de la <span class=SpellE>Divergencia</span> </span></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Stewart </span></p> <p><span style='font-size:11.0pt'>1,3,5,7,9,11,13,14,17,19,23, </span></p> <p><span style='font-size:11.0pt'>24,26,28,30. </span></p> </td> </tr> <tr style='mso-yfti-irow:28;mso-yfti-lastrow:yes'> <td width=113 valign=top style='width:56.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></p> </td> <td width=110 valign=top style='width:55.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></p> </td> <td width=124 valign=top style='width:62.0pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b style='mso-bidi-font-weight:normal'><span style='font-size:11.0pt'>CUARTO EXAMEN PARCIAL<o:p></o:p></span></b></p> </td> <td width=495 valign=top style='width:247.5pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>To be determined<o:p></o:p></span></p> </td> </tr> </table> <p><span class=SpellE><b><span style='font-size:11.0pt'>Estrategias</span></b></span><b><span style='font-size:11.0pt'> <span class=SpellE>instruccionales</span></span></b><span style='font-size:11.0pt'>: </span></p> <p><span class=SpellE><span style='font-size:11.0pt'>Conferencias</span></span><span style='font-size:11.0pt'> en <span class=SpellE>donde</span> se <span class=SpellE>presentan</span>: los <span class=SpellE>conceptos</span> y <span class=SpellE>métodos</span> <span class=SpellE>fundamentales</span> <span class=GramE>del</span> <span class=SpellE>cálculo</span>, la <span class=SpellE>estructura</span> <span class=SpellE>matemática</span> del <span class=SpellE>cálculo</span>, <span class=SpellE>ejemplos</span>, <span class=SpellE>ejercicios</span> y la <span class=SpellE>solución</span> de <span class=SpellE>problemas</span>. El <span class=SpellE><span class=GramE>uso</span></span> de <span class=SpellE>otras</span> <span class=SpellE>estrategias</span> (tales <span class=SpellE>como</span> <span class=SpellE>uso</span> de <span class=SpellE>tecnología</span> <span class=SpellE>avanzada</span>, <span class=SpellE>aprendizaje</span> <span class=SpellE>cooperativo</span>, <span class=SpellE>trabajo</span> en <span class=SpellE>clase</span>, <span class=SpellE>discusión</span> <span class=SpellE>abierta</span>, <span class=SpellE>sesiones</span> <span class=SpellE>abiertas</span> a <span class=SpellE>preguntas</span>, <span class=SpellE>proyectos</span>, <span class=SpellE>laboratorios</span>, etc.) se <span class=SpellE>deja</span> a <span class=SpellE>discreción</span> del <span class=SpellE>profesor</span>. </span></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Recursos</span></b></span><b><span style='font-size:11.0pt'> de <span class=SpellE>aprendizaje</span> o <span class=SpellE>instalaciones</span> <span class=SpellE>mínimos</span> <span class=SpellE>disponibles</span> o <span class=SpellE>requeridos</span></span></b><span style='font-size:11.0pt'>: </span></p> <p><span style='font-size:11.0pt'>Los <span class=SpellE>estudiantes</span> <span class=SpellE>podrán</span> <span class=SpellE><span class=GramE>usar</span></span> los <span class=SpellE>recursos</span> <span class=SpellE>físicos</span> y <span class=SpellE>bibliotecarios</span> con los <span class=SpellE>que</span> <span class=SpellE>cuenta</span> el <span class=SpellE>Departamento</span> de <span class=SpellE>Ciencias</span> <span class=SpellE>Matemáticas</span> y el RUM. El <span class=SpellE>Departamento</span> de <span class=SpellE>Ciencias</span> <span class=SpellE>Matemáticas</span> <span class=SpellE>cuenta</span> con el Centro de <span class=SpellE>Apoyo</span> <span class=SpellE>para</span> la <span class=SpellE>Enseñanza</span> de <span class=SpellE>Precálculo</span> y <span class=SpellE>Cálculo</span> (CAEPC). Este <span class=SpellE>centro</span> <span class=SpellE>está</span> <span class=SpellE>ubicado</span> en M-220 y <span class=SpellE>las</span> </span></p> <p><span class=SpellE><span class=GramE><span style='font-size:11.0pt'>tutorías</span></span></span><span style='font-size:11.0pt'> se <span class=SpellE>ofrecen</span> de 8:30 a.m. a 4:30 p.m. de <span class=SpellE>lunes</span> a <span class=SpellE>jueves</span>; y de 8:30 a.m. a 3:30 p.m. los <span class=SpellE>viernes</span>. <span class=SpellE>Además</span>, <span class=SpellE>cuenta</span> con <span class=GramE>un</span> <span class=SpellE>laboratorio</span> de <span class=SpellE>computadoras</span> <span class=SpellE>ubicado</span> en M-315 <span class=SpellE>que</span> le <span class=SpellE>permite</span> a los <span class=SpellE>estudiantes</span> <span class=SpellE>tomar</span> <span class=SpellE>pruebas</span> <span class=SpellE>cortas</span> <span class=SpellE>electrónicas</span> <span class=SpellE>que</span> <span class=SpellE>cubren</span> <span class=SpellE>todos</span> los <span class=SpellE>temas</span> del <span class=SpellE>curso</span>. </span></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Estrategias</span></b></span><b><span style='font-size:11.0pt'> de <span class=SpellE>evaluación</span></span></b><span style='font-size:11.0pt'>: La <span class=SpellE>evaluación</span> <span class=GramE>del</span> <span class=SpellE>curso</span> <span class=SpellE>puede</span> <span class=SpellE>incluir</span> <span class=SpellE>exámenes</span>, <span class=SpellE>asignaciones</span>, <span class=SpellE>pruebas</span> <span class=SpellE>cortas</span>, y <span class=SpellE>otros</span> a <span class=SpellE>discreción</span> del <span class=SpellE>profesor</span> del <span class=SpellE>curso</span>. </span><o:p></o:p></p> <table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 width=0 style='width:0in;border-collapse:collapse;mso-yfti-tbllook:1184;mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt;display:table;float:none'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>4 Partial Exams </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>4*10% </span></p> </td> </tr> <tr style='mso-yfti-irow:1'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Final Exam </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>25% </span></p> </td> </tr> <tr style='mso-yfti-irow:2'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Online Quizzes </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>10% </span></p> </td> </tr> <tr style='mso-yfti-irow:3;mso-yfti-lastrow:yes'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>Labs<o:p></o:p></span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>25%<o:p></o:p></span></p> </td> </tr> </table> <p><b>Los <span class=SpellE>exámenes</span> <span class=SpellE>parciales</span> son <span class=SpellE>departamentales</span> y se <span class=SpellE>ofrecerán</span> en <span class=SpellE>las</span> </b></p> <p><span class=SpellE><span class=GramE><b>fechas</b></span></span><b> <span class=SpellE>indicadas</span> y en el <span class=SpellE>horario</span> de 7:30  9:00 PM. </b></p> <p><span class=SpellE><b><span style='font-size:11.0pt'>Sistema</span></b></span><b><span style='font-size:11.0pt'> de <span class=SpellE>calificación</span></span></b><span style='font-size:11.0pt'>: </span></p> <table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 width=0 style='width:0in;border-collapse:collapse;mso-yfti-tbllook:1184;mso-padding-alt: 2.25pt 2.25pt 2.25pt 2.25pt'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>A </span></b></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>B </span></b></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>C </span></b></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>D </span></b></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><b><span style='font-size:11.0pt'>F </span></b></p> </td> </tr> <tr style='mso-yfti-irow:1;mso-yfti-lastrow:yes'> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>90% - 100% </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>80% - 89% </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>65% - 79% </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>60% - 64% </span></p> </td> <td width=1 valign=top style='width:.3pt;padding:2.25pt 2.25pt 2.25pt 2.25pt'> <p><span style='font-size:11.0pt'>0% - 59% </span></p> </td> </tr> </table> <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; display:none;mso-hide:all'><o:p>&nbsp;</o:p></span></p> <p><span style='font-size:11.0pt'><o:p>&nbsp;</o:p></span></p> <p><span style='font-size:11.0pt'>Ley 51: Ley de <span class=SpellE>Servicios</span> <span class=SpellE>Educativos</span> <span class=SpellE>Integrales</span> <span class=SpellE>para</span> Personas con <span class=SpellE>Impedimentos</span>: <span class=SpellE><b>Después</b></span><b> de <span class=SpellE>identificarse</span> con el <span class=SpellE>profesor</span> y la <span class=SpellE>institución</span>, los <span class=SpellE>estudiantes</span> con <span class=SpellE>impedimento</span> <span class=SpellE>recibirán</span> <span class=SpellE>acomodo</span> <span class=SpellE>razonable</span> en <span class=SpellE>sus</span> <span class=SpellE>cursos</span> y <span class=SpellE>evaluaciones</span>. Para <span class=SpellE>más</span> <span class=SpellE>información</span> <span class=SpellE>comuníquese</span> con <span class=SpellE><i>Servicios</i></span><i> a <span class=SpellE>Estudiantes</span> con <span class=SpellE>Impedimentos</span></i> en la <span class=SpellE>Oficina</span> <span class=GramE>del</span> <span class=SpellE>Decano</span> de <span class=SpellE>Estudiantes</span>, 787-265-3862 ó 787-832-4040, Ext. 3250 ó 3258.</b> </span></p> <p><b>SE PROHIBE COMER Y BEBER EN EL SALON DE CLASES </b></p> <p><span class=SpellE><i>Revisado</i></span><i> <span class=SpellE>por</span> PVU: 20 de mayo de 2008 </i></p> <p><span class=SpellE><span class=GramE>gjd</span></span>/ 14 de <span class=SpellE>enero</span> de 2010 </p> </div> </body> </html>