{"id":6754,"date":"2016-02-01T16:58:43","date_gmt":"2016-02-01T20:58:43","guid":{"rendered":"http:\/\/nycphantom.com\/journal\/?p=6754"},"modified":"2016-05-09T12:39:44","modified_gmt":"2016-05-09T16:39:44","slug":"the-city-college-cuny-class-math-32400-advanced-calc-ii","status":"publish","type":"post","link":"http:\/\/nycphantom.com\/journal\/?p=6754","title":{"rendered":"The City College CUNY Class: MATH 32400 Advanced Calc. II"},"content":{"rendered":"<p>Professor: Thea Pignataro<\/p>\n<p>Read Ross secs 13, 21 &amp; 22.<\/p>\n<p>Review linear algebra: Subspace, spanning set, linear independence, dimension, basis, kernel, range, std. basis, affine subspace.<\/p>\n<p>Prof's notes on\u00a0<a href=\"http:\/\/1drv.ms\/1KlFihR\" target=\"_blank\">http:\/\/1drv.ms\/1KlFihR<\/a>, mirror: <a href=\"https:\/\/onedrive.live.com\/redir?resid=4D8DB7038A13BB6B%21153&amp;authkey=%21AJgvcwfLGfKicFU&amp;ithint=onenote%2c\" target=\"_blank\">link1<\/a><\/p>\n<p>Sec. 1.6<\/p>\n<p>Def: a normed real vect. space. (Theorem 1.6.6)<\/p>\n<p>Generalization of vector length<\/p>\n<p>Inner product space (theorem 1.6.6 I)<\/p>\n<p>Remark: Every inner product induces a norm, but not every norm can be represented as an inner product. Nor does every metric arises from a norm.<\/p>\n<p>Sec. 1.7 Matrices, etc.<\/p>\n<p>Def. 1. 7.1 A metric space.<\/p>\n<p>Check example 1.7.2 (discrete methods), many set, d(x, y) = 0 if x=y and d(x,y) = 1 if x != y. Check that this is a metric.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Professor: Thea Pignataro Read Ross secs 13, 21 &amp; 22. Review linear algebra: Subspace, spanning set, linear independence, dimension, basis, kernel, range, std. basis, affine subspace. Prof's notes on\u00a0http:\/\/1drv.ms\/1KlFihR, mirror: link1 Sec. 1.6 Def: a normed real vect. space. (Theorem &hellip; <a href=\"http:\/\/nycphantom.com\/journal\/?p=6754\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27,10],"tags":[],"class_list":["post-6754","post","type-post","status-publish","format-standard","hentry","category-mathematics","category-projects"],"_links":{"self":[{"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=\/wp\/v2\/posts\/6754","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6754"}],"version-history":[{"count":5,"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=\/wp\/v2\/posts\/6754\/revisions"}],"predecessor-version":[{"id":6985,"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=\/wp\/v2\/posts\/6754\/revisions\/6985"}],"wp:attachment":[{"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6754"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6754"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/nycphantom.com\/journal\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6754"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}