{"id":29006,"date":"2022-09-13T10:35:41","date_gmt":"2022-09-13T02:35:41","guid":{"rendered":"https:\/\/ocw.nycu.edu.tw\/?post_type=course_page&#038;p=29006"},"modified":"2023-12-29T16:03:45","modified_gmt":"2023-12-29T08:03:45","slug":"%e5%be%ae%e7%a9%8d%e5%88%86%e4%ba%8c-calculus-ii-103%e5%ad%b8%e5%b9%b4%e5%ba%a6-%e6%87%89%e7%94%a8%e6%95%b8%e5%ad%b8%e7%b3%bb-%e8%8e%8a%e9%87%8d%e8%80%81%e5%b8%ab","status":"publish","type":"course_page","link":"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course\/college-of-science\/am\/%e5%be%ae%e7%a9%8d%e5%88%86%e4%ba%8c-calculus-ii-103%e5%ad%b8%e5%b9%b4%e5%ba%a6-%e6%87%89%e7%94%a8%e6%95%b8%e5%ad%b8%e7%b3%bb-%e8%8e%8a%e9%87%8d%e8%80%81%e5%b8%ab","title":{"rendered":"\u5fae\u7a4d\u5206(\u4e8c) Calculus II &#8211; 103\u5b78\u5e74\u5ea6 | \u61c9\u7528\u6578\u5b78\u7cfb \u838a\u91cd\u8001\u5e2b"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"29006\" class=\"elementor elementor-29006\">\n\t\t\t\t\t\t\t\t\t<section class=\"penci-section penci-disSticky penci-structure-10 elementor-section elementor-top-section elementor-element elementor-element-90a0113 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"90a0113\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"penci-ercol-100 penci-ercol-order-1 penci-sticky-ct    elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-78bf394\" data-id=\"78bf394\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9a5e0e8 elementor-widget elementor-widget-breadcrumbs\" data-id=\"9a5e0e8\" data-element_type=\"widget\" data-widget_type=\"breadcrumbs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<link rel=\"stylesheet\" href=\"https:\/\/ocw.nycu.edu.tw\/wp-content\/plugins\/elementor-pro\/assets\/css\/widget-theme-elements.min.css\"><p id=\"breadcrumbs\"><span><span><a href=\"https:\/\/ocw.nycu.edu.tw\/\">Homepage<\/a><\/span><\/span><\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"penci-section penci-disSticky penci-structure-20 elementor-section elementor-top-section elementor-element elementor-element-0025485 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0025485\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"penci-ercol-50 penci-ercol-order-1 penci-sticky-ct    elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-0446ed9\" data-id=\"0446ed9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2f5840a elementor-widget elementor-widget-penci-info-box\" data-id=\"2f5840a\" data-element_type=\"widget\" data-widget_type=\"penci-info-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"penci_info_box_2480\" class=\"penci-block-vc penci-info-box penci-ibox-float-left penci-view-default penci-shape-circle\">\r\n\t\t\t<div class=\"penci-ibox-inner\">\r\n\t\t\t\t\t\t\t\t<div class=\"penci-ibox-icon penci-ibox-icon--icon penci-icon penci-tibox-text\"><span class=\"penci-ibox-icon-fa\"><\/span><\/div>\t\t\t\t<div class=\"penci-ibox-content-wrap\">\r\n\t\t\t\t\t<div class=\"penci-ibox-stit\">Calculus II - 103 Academic Year<\/div>\t\t\t\t\t<h3 class=\"penci-ibox-title\">\u5fae\u7a4d\u5206(\u4e8c)  - 103\u5b78\u5e74\u5ea6<\/h3>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div 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style=\"color: #3366ff; font-size: 16px;\">\u8ab2\u7a0b\u7528\u66f8\uff1a<\/span><\/p><p><span style=\"font-size: 16px;\">Calculus(Early Transendentals), James Stewart, 7th Edition Publisher: Cengage Learning<\/span><\/p><p><span style=\"color: #ff00ff;\">\u70ba\u6c42\u5b78\u7fd2\u6210\u6548\u5b8c\u7f8e\uff0c\u8acb\u8cfc\u8cb7\u8ab2\u672c\uff01<\/span><\/p><p>\u00a0<\/p><table style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\" border=\"1\"><tbody><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\" width=\"100\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">\u6388\u8ab2\u6559\u5e2b<\/span><\/span><\/th><td bgcolor=\"#EEEEEE\" width=\"518\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0\u61c9\u7528\u6578\u5b78\u7cfb \u838a\u91cd\u8001\u5e2b<\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">\u8ab2\u7a0b\u5b78\u5206<\/span><\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a04\u5b78\u5206<\/span><\/span><\/td><\/tr><tr><th class=\"text\" style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">\u6388\u8ab2\u5e74\u5ea6<\/span><\/span><\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0103\u5b78\u5e74\u5ea6<\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">\u6388\u8ab2\u5c0d\u8c61<\/span><\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0\u5927\u5b78\u4e00\u5e74\u7d1a\u5b78\u751f<\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">\u9810\u5099\u77e5\u8b58<\/span><\/span><\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0\u9ad8\u4e2d\u6578\u5b78\u3001\u5fae\u7a4d\u5206(\u4e00)<\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">\u8ab2\u7a0b\u63d0\u4f9b<\/span><\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0<a href=\"#video\">\u8ab2\u7a0b\u5f71\u97f3<\/a>\u00a0 \u00a0<a href=\"#syllabus\">\u8ab2\u7a0b\u7db1\u8981<\/a> \u00a0\u00a0<a href=\"#calendar\">\u8ab2\u7a0b\u884c\u4e8b\u66c6<\/a>\u00a0 \u00a0 <a href=\"#handout\">\u8ab2\u7a0b\u8b1b\u7fa9<\/a><\/span><\/span><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"video-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"video-tab\">\n\t\t\t\t        \t\t\t\t\t        <p>\n<table id=\"tablepress-60\" class=\"tablepress tablepress-id-60\">\n<thead>\n<tr class=\"row-1 odd\">\n\t<th class=\"column-1\">\u9031\u6b21<\/th><th class=\"column-2\">\u8ab2\u7a0b\u5167\u5bb9<\/th><th class=\"column-3\">\u8ab2\u7a0b\u5f71\u97f3<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-hover\">\n<tr class=\"row-2 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u5341\u7ae0 Parametric Equations and Polar Coordinates<br \/>\n10.3 Polar Coordinates<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=29236\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">10.4 Areas and Lengths in Polar Coordinates<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31124\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u5341\u4e00\u7ae0 Infinite Sequences and Series <br \/>\n11.1 Sequences<br \/>\n(\u672c\u5f71\u724707:08\u8655 a3=0\u70ba\u6b63\u89e3\uff0ca3=-1\u70ba\u932f\u8aa4\u7b54\u6848)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31131\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.2 Series<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31147\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.3 The Integral Test and Estimates of Sums<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31153\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-7 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.4 The Comparison Tests<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31164\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-8 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.5 Alternating Series<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31170\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-9 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.6 Absolute Convergence and the Ratio and Root Tests<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31176\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-10 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.8 Power Series<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31184\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-11 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.9 Representations of Functions as Power Series<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31192\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-12 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.10 Taylor and Maclaurin Series<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31220\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-13 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">11.11 Applications of Taylor Polynomials<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31226\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-14 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u5341\u4e8c\u7ae0 Vectors and the Geometry of Space<br \/>\n12.2 Vectors<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31232\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-15 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12.3 The Dot Product<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31238\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-16 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12.4 The Cross Product<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31244\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-17 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12.5 Equations of Lines and Planes<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31250\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-18 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">12.6 Cylinders and Quadratic Surface<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31256\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-19 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u5341\u4e09\u7ae0 Vector Functions <br \/>\n13.1 Vector Functions and Space Curves<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31262\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-20 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">13.2 Derivatives and Integrals of Vector Functions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31270\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-21 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">13.3 Arc Length and Curvature<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31278\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-22 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">14.1 Functions of Several Variables<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31286\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-23 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">14.2 Limits and Continuity<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31294\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-24 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">14.3 Partial Derivatives<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31300\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-25 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">14.4 Tangent Planes and Linear Approximation<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31306\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-26 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">14.5 The Chain Rule<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31312\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-27 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">14.6 Directional Derivatives and Gradient Vector<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31318\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-28 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">14.7 Maximum and Minimum Values<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31324\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-29 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">14.8 Lagrange Multipliers<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31330\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-30 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.1 Double Integrals over Rectangles<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31336\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-31 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.2 Iterated Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31342\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-32 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.3 Double Integrals over General Regions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31348\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-33 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.4 Double Integrals in Polar Coordinates<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31354\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-34 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.5 Applications of Double Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31360\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-35 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.6 Surface Area<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31366\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-36 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.7 Triple Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31376\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-37 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.8 Triple Integrals in Cylindrical Coordinates<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31382\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-38 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.9 Triple Integrals in Spherical Coordinates<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31388\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-39 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">15.10 Change of Variables in Multiple Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31394\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-40 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter16 : Vector Calculus<br \/>\n16.0 Introduction<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31400\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-41 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">16.1 Vector Fields<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31406\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-42 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">16.2 Line (Curve) Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31412\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-43 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">16.3 The Fundamental Theorem for Line Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31418\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<tr class=\"row-44 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">16.4 Green's Theorem<br \/>\n(\u2018\u4e8c\u7dad\u2019\u7684\u5fae\u7a4d\u5206\u57fa\u672c\u5b9a\u7406)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31424\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-60 from cache --><\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"syllabus-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"syllabus-tab\">\n\t\t\t\t        \t\t\t\t\t        <p class=\"title\"><strong>\u8ab2\u7a0b\u76ee\u6a19<\/strong><\/p><p class=\"text\">\u672c\u8ab2\u7a0b\u4e4b\u76ee\u6a19\u5728\u65bc\u5b78\u7fd2\u5fae\u5206\u7a4d\u5206\u4e4b\u65b9\u6cd5\u8207\u8a08\u7b97\uff0c\u4ee5\u53ca\u66f4\u91cd\u8981\u7684\u662f\u57fa\u672c\u6578\u5b78\u89c0\u5ff5\u7684\u7406\u89e3\u3002\u540c\u6642\u5e0c\u671b\u5927\u5bb6\u5b78\u5230\u81ea\u5f8b\u3001\u5408\u4f5c\u8207\u4e92\u52d5\u3001\u7368\u7acb\u601d\u8003\u8207\u81ea\u6211\u5b78\u7fd2\u3002<\/p><p class=\"title\"><strong>\u8ab2\u7a0b\u7ae0\u7bc0<\/strong><\/p><p>\u00a0<\/p><table border=\"1\" cellspacing=\"0\"><tbody><tr class=\"stitle\"><td bgcolor=\"#e4d8b0\"><strong> \u7ae0\u7bc0<\/strong><\/td><td bgcolor=\"#e4d8b0\"><strong> \u7ae0\u7bc0\u5167\u5bb9<\/strong><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7b2c\u5341\u7ae0<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\"> Parametric Equations and Polar Coordinates<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\"> \u7b2c\u5341\u4e00\u7ae0<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\"> Infinite Sequences and Series<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7b2c\u5341\u4e8c\u7ae0<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">Vectors and the Geometry of Space<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u4e09\u7ae0<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Vector Functions<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7b2c\u5341\u56db\u7ae0<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">Partial Derivatives<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u4e94\u7ae0<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Multiple Integrals<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7b2c\u5341\u516d\u7ae0<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">Vector Calculus<\/span><\/td><\/tr><\/tbody><\/table><p>\u00a0<\/p><p class=\"title\"><strong>\u8ab2\u7a0b\u66f8\u76ee<\/strong><\/p><p class=\"text\">Calculus(Early Transendentals), James Stewart, 7th Edition.<\/p><p>\u00a0<\/p><p class=\"title\"><strong>\u8a55\u5206\u6a19\u6e96<\/strong><\/p><table border=\"1\" cellspacing=\"0\"><tbody><tr class=\"stitle\"><td bgcolor=\"#e4d8b0\"><strong>\u9805\u76ee<\/strong><\/td><td bgcolor=\"#e4d8b0\"><strong>\u767e\u5206\u6bd4<\/strong><\/td><\/tr><tr><td style=\"padding: 5px;\">online quizzes<\/td><td style=\"padding: 5px;\"><span class=\"text\">5%<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u5b78\u7fd2\u6b77\u7a0b\u6a94\u6848<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">5%<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u5c0f\u8003<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">40%<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u671f\u4e2d\u8003<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">20%<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u671f\u672b\u6703\u8003<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">30%<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u8a0e\u8ad6\u5340bonus<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">5%<\/span><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"calendar-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"calendar-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><span style=\"font-family: \u65b0\u7d30\u660e\u9ad4; font-size: 15px;\">\u672c\u8ab2\u7a0b\u884c\u4e8b\u66c6\u63d0\u4f9b\u8ab2\u7a0b\u9032\u5ea6\u8207\u8003\u8a66\u8cc7\u8a0a\u53c3\u8003\u3002<\/span><\/p><table style=\"font-style: normal; line-height: 20px; font-size: 15px; text-align: center;\" border=\"1\" cellspacing=\"0\"><tbody><tr><td bgcolor=\"#e4d8b0\" width=\"76\"><div style=\"text-align: center;\"><span style=\"color: #000000; font-weight: bold;\"><strong>\u8ab2\u7a0b\u7ae0\u7bc0<\/strong><\/span><\/div><\/td><td bgcolor=\"#e4d8b0\" width=\"440\"><div style=\"text-align: center; font-size: 15px; font-weight: bold;\"><strong>\u53c3\u8003\u8ab2\u7a0b\u9032\u5ea6<\/strong><\/div><\/td><\/tr><tr><td style=\"text-align: center;\"><p><span class=\"text\">\u7b2c\u5341\u7ae0 Parametric Equations and Polar Coordinates<\/span><\/p><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>10.3 Polar Coordinates <br \/>10.4 Areas and Lengths in Polar Coordinates<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u4e00\u7ae0 Infinite Sequences and Series<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>11.1 Sequences <br \/>11.2 Series <br \/>11.3 The Integral Test and Estimates of Sums <br \/>11.4 The Comparison Tests <br \/>11.5 Alternating Series <br \/>11.6 Absolute Convergence and the Ratio and Root Tests <br \/>11.8 Power Series <br \/>11.9 Representations of Functions as Power Series <br \/>11.10 Taylor and Maclaurin Series <br \/>11.11 Applications of Taylor Polynomials<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u5341\u4e8c\u7ae0 Vectors and the Geometry of Space (\u9078\u6559)<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>12.1 Three-Dimensional Coordinate Systems <br \/>12.2 Vectors <br \/>12.3 The Dot Product (12.1 12.2 \u8207 12.3 \u70ba\u8907\u7fd2\u8ab2\u7a0b)<br \/>12.4 The Cross Product <br \/>12.5 Equations of Lines and Planes <br \/>12.6 Cylinders and Quadric Surface<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u4e09\u7ae0 Vector Functions<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>13.1 Vector Functions and Space Curves <br \/>13.2 Derivatives and Integrals of Vector Functions <br \/>13.3 Arc Length And Curvature (Curvatre \u9078\u6559)<br \/>13.4 Motion in Space: Velocity and Acceleration(\u672c\u7bc0\u9078\u6559)<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u5341\u56db\u7ae0 Partial Derivatives<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>14.1 Functions of Several Variables <br \/>14.2 Limits and Continuity <br \/>14.3 Partial Derivatives <br \/>14.4 Tangent Plans and Differentials <br \/>14.5 The Chain Rule <br \/>14.6 Directional Derivatives and the Gradient Vector <br \/>14.7 Maximum and Minimum Values <br \/>14.8 Lagrange Multipliers<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u5341\u4e94\u7ae0 Multiple Integrals<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>15.1 Double Integrals over Rectangles <br \/>15.2 Iterated Integrals <br \/>15.3 Double Integrals over General Regions <br \/>15.4 Double Integrals in Polar Coordinates <br \/>15.5 Application of Double Integrals <br \/>15.6 Surface Area (\u9078\u6559)<br \/>15.7 Triple Integrals <br \/>15.8 Triple Integrals in Cylindrical Coordinates <br \/>15.9 Triple Integrals in Spherical Coordinates <br \/>15.10 Change of Variables in Multiple Integrals<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u5341\u516d\u7ae0 Vector Calculus (\u9078\u6559)<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>16.1 Vector fields <br \/>16.2 Line integrals <br \/>16.3 The fundamental Theorem for line integrals<br \/>16.4 Green's Theorem<\/li><\/ul><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"handout-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"handout-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><strong class=\"title\">\u8ab2\u7a0b\u8b1b\u7fa9 Course Handout<\/strong><\/p><table border=\"1\" cellspacing=\"0\"><tbody><tr class=\"stitle\"><td bgcolor=\"#e4d8b0\"><strong> \u7ae0\u7bc0<\/strong><\/td><td bgcolor=\"#e4d8b0\"><strong> \u4e0b\u8f09\u9023\u7d50<\/strong><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">10.3 Polar Coordinates<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_10-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">10.4 Area and Lengths in Polar Coordinates<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_10-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">11.1 Sequences<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">11.2 Series<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">11.3 The Integral Test and Estimates of Sums<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">11.4 The Comparison Tests<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">11.5 Alternating Series<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">11.6 Absolute Convergence and The Ratio and Root test<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-6.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">11.8 Power Series<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-8.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">11.9 Representations of Functions as Power Series<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-9.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">11.10 Taylor and Maclaurin Series<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-10.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">11.11 Applications of Taylor Polynomial<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_11-11.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">12.2 Vectors<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_12-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">12.3 The Dot Product<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_12-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">12.4 The Cross Product<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_12-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">12.5 Equations of Lines and Planes<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_12-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">12.6 Cylinders and Quadrate Surface<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_12-6.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">12.7 Cylindrical and Spherical Coordinates<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_12-7.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">13.1 Vector Functions<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_13-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">13.2 Derivatives and Integrals of Vector Functions<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_13-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">13.3 Arc Length and Curvature<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_13-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">14.1 Functions of Several Variables<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_14-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">14.2 Limits and Continuity<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_14-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">14.3 Partial Derivatives<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_14-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">14.4 Tangent Planes and Linear Approximation<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_14-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">14.5 The Chain Rule<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_14-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">14.6 Directional Derivatives and Gradient Vector<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_14-6.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">14.7 Maximum and Minimum Values<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_14-7.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">14.8 Lagrange Multipliers<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_14-8.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">15.1 Double Integrals over Rectangles<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">15.2 Iterated Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">15.3 Double Integrals over General Regions<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">15.4 Double Integrals in Polar Coordinates<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">15.5 Applications of Double Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">15.6 Surface Area<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-6.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">15.7 Triple Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-7.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">15.8 Triple Integrals in Cylindrical Coordinates<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-8.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">15.9 Triple Integrals in Spherical Coordinates<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-9.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">15.10 Change of Variables in Multiple Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_15-10.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">16.0 Introduction of Vector Calculus <br \/>16.1 Vector Fields<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_16-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">16.2 Line (Curve) Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_16-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">16.3 The Fundamental Theorem for Line Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_16-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">16.4 Green's Theorem (\u2018\u4e8c\u7dad\u2019\u7684\u5fae\u7a4d\u5206\u57fa\u672c\u5b9a\u7406)<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/\/ca032\/handout\/ca032_16-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><\/tbody><\/table>\t\t\t\t                            <\/div>\n\t\t                    <\/div>\n        <\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d7723a8 elementor-widget-divider--view-line elementor-widget 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