{"id":604,"date":"2018-11-09T15:24:28","date_gmt":"2018-11-09T22:24:28","guid":{"rendered":"https:\/\/sites.evergreen.edu\/psam1819\/?page_id=604"},"modified":"2018-11-11T10:49:50","modified_gmt":"2018-11-11T17:49:50","slug":"week-8-mvvc-reading-assignment-learning-goals-and-problem-set","status":"publish","type":"page","link":"https:\/\/sites.evergreen.edu\/psam1819\/week-8-mvvc-reading-assignment-learning-goals-and-problem-set\/","title":{"rendered":"Week 8 MVVC &#8211; Reading Assignment, Learning Goals, and Problem Set"},"content":{"rendered":"<p><strong>MVVC Week 8 &#8211; Problem Set Assignments and Learning Goals<br \/>\n <\/strong><\/p>\n<p>Reading:<\/p>\n<ul>\n<li>Boas 6.10: The Divergence and the Divergence Theorem (skip Gauss&#8217;s Law pp. 320-322)<\/li>\n<li>Schey: Flux (pp. 31-33)<\/li>\n<li>Schey: The Divergence (pp. 37-42)<\/li>\n<li>Schey: The Divergence Theorem (pp. 45-49)<\/li>\n<li>Math Lab 10 Part 4 directs you to read some Parts of <strong><a href=\"https:\/\/mathinsight.org\/thread\/math2374\">https:\/\/mathinsight.org\/thread\/math2374<\/a><\/strong>. For the purposes of this reading assignment, make sure to read\/review Part 12 (particularly those sections related to divergence) and Part 23.<\/li>\n<\/ul>\n<p>Learning Goals:<\/p>\n<ol>\n<li>Determine the unit normal direction to a surface by inspection or by using the gradient.<\/li>\n<li>Set up flux integrals by: a) finding the integrand by taking the dot product of the vector field with the unit normal direction(s) to the surface(s); b) writing down the appropriate surface area element(s); c) determining the appropriate limits of integration. For straightforward geometries, evaluate the integral.<\/li>\n<li>Set up volume integrals involving divergence of vector fields by: a) calculating the divergence of the vector field; b) writing down the appropriate volume element(s); c) determining the appropriate limits of integration. For straightforward geometries, evaluate the integral.<\/li>\n<li>Use the divergence theorem to equate a flux integral for a closed surface to the volume integral for the divergence of the vector field for the volume enclosed by the closed surface. Evaluate whichever is easier.<\/li>\n<li>Interpret the divergence of a vector field geometrically\/physically as related to &#8220;sources&#8221; or &#8220;sinks&#8221;.<\/li>\n<\/ol>\n<p>MVVC Problem Set, Week 8:<\/p>\n<ul>\n<li>Schey Ch. II: II-10, II-15(a)(b), II-23<\/li>\n<li>Boas 6.10: 3, 4, 6, 7, 10<\/li>\n<\/ul>\n<p>To see which problem(s) you&#8217;ve been assigned to contribute to the Collaborative Solution Set, visit <strong><a href=\"https:\/\/drive.google.com\/drive\/folders\/1rN2yToNsWgloogw06NUEncJIWyMaVeH2?usp=sharing\">this shared Google folder<\/a><\/strong> and navigate to the appropriate subject and assignment in the directory structure. This is also the document to which you will post your solutions by Friday 6pm.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>MVVC Week 8 &#8211; Problem Set Assignments and Learning Goals Reading: Boas 6.10: The Divergence and the Divergence Theorem (skip Gauss&#8217;s Law pp. 320-322) Schey: Flux (pp. 31-33) Schey: The Divergence (pp. 37-42) Schey: The Divergence Theorem (pp. 45-49) Math &hellip; <a href=\"https:\/\/sites.evergreen.edu\/psam1819\/week-8-mvvc-reading-assignment-learning-goals-and-problem-set\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":219,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_mi_skip_tracking":false,"_s2mail":""},"_links":{"self":[{"href":"https:\/\/sites.evergreen.edu\/psam1819\/wp-json\/wp\/v2\/pages\/604"}],"collection":[{"href":"https:\/\/sites.evergreen.edu\/psam1819\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.evergreen.edu\/psam1819\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1819\/wp-json\/wp\/v2\/users\/219"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.evergreen.edu\/psam1819\/wp-json\/wp\/v2\/comments?post=604"}],"version-history":[{"count":0,"href":"https:\/\/sites.evergreen.edu\/psam1819\/wp-json\/wp\/v2\/pages\/604\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.evergreen.edu\/psam1819\/wp-json\/wp\/v2\/media?parent=604"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}