{"id":5646,"date":"2022-07-18T13:33:04","date_gmt":"2022-07-18T05:33:04","guid":{"rendered":"https:\/\/ocw.nycu.edu.tw\/?post_type=course_page&#038;p=5646"},"modified":"2022-08-13T17:28:04","modified_gmt":"2022-08-13T09:28:04","slug":"advanced-calculus-ii-97","status":"publish","type":"course_page","link":"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course\/college-of-science\/am\/advanced-calculus-ii-97","title":{"rendered":"\u9ad8\u7b49\u5fae\u7a4d\u5206(\u4e8c) Advanced Calculus II | \u61c9\u7528\u6578\u5b78\u7cfb \u767d\u555f\u5149\u8001\u5e2b"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"5646\" class=\"elementor elementor-5646\">\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_70320\" 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\">Advanced Calculus II<\/div>\t\t\t\t\t<h3 class=\"penci-ibox-title\">\u9ad8\u7b49\u5fae\u7a4d\u5206(\u4e8c)<\/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 class=\"elementor-element elementor-element-c6381f4 elementor-widget elementor-widget-eael-adv-tabs\" data-id=\"c6381f4\" data-element_type=\"widget\" data-widget_type=\"eael-adv-tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t        <div id=\"eael-advance-tabs-c6381f4\" class=\"eael-advance-tabs eael-tabs-horizontal eael-tab-auto-active\" data-tabid=\"c6381f4\">\n            <div class=\"eael-tabs-nav\">\n                <ul class=\"eael-tab-inline-icon\">\n                                            <li id=\"home\" class=\"active-default eael-tab-item-trigger\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"home-tab\" aria-expanded=\"false\">\n                            \n                                                                <svg class=\"e-font-icon-svg e-fas-home\" viewBox=\"0 0 576 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M280.37 148.26L96 300.11V464a16 16 0 0 0 16 16l112.06-.29a16 16 0 0 0 15.92-16V368a16 16 0 0 1 16-16h64a16 16 0 0 1 16 16v95.64a16 16 0 0 0 16 16.05L464 480a16 16 0 0 0 16-16V300L295.67 148.26a12.19 12.19 0 0 0-15.3 0zM571.6 251.47L488 182.56V44.05a12 12 0 0 0-12-12h-56a12 12 0 0 0-12 12v72.61L318.47 43a48 48 0 0 0-61 0L4.34 251.47a12 12 0 0 0-1.6 16.9l25.5 31A12 12 0 0 0 45.15 301l235.22-193.74a12.19 12.19 0 0 1 15.3 0L530.9 301a12 12 0 0 0 16.9-1.6l25.5-31a12 12 0 0 0-1.7-16.93z\"><\/path><\/svg>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">\u8ab2\u7a0b\u9996\u9801<\/span>                            \n                                                    <\/li>\n                                            <li id=\"video\" class=\"inactive eael-tab-item-trigger\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"video-tab\" aria-expanded=\"false\">\n                            \n                                                                <svg class=\"e-font-icon-svg e-fas-video\" viewBox=\"0 0 576 512\" 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<svg class=\"e-font-icon-svg e-fas-book\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M448 360V24c0-13.3-10.7-24-24-24H96C43 0 0 43 0 96v320c0 53 43 96 96 96h328c13.3 0 24-10.7 24-24v-16c0-7.5-3.5-14.3-8.9-18.7-4.2-15.4-4.2-59.3 0-74.7 5.4-4.3 8.9-11.1 8.9-18.6zM128 134c0-3.3 2.7-6 6-6h212c3.3 0 6 2.7 6 6v20c0 3.3-2.7 6-6 6H134c-3.3 0-6-2.7-6-6v-20zm0 64c0-3.3 2.7-6 6-6h212c3.3 0 6 2.7 6 6v20c0 3.3-2.7 6-6 6H134c-3.3 0-6-2.7-6-6v-20zm253.4 250H96c-17.7 0-32-14.3-32-32 0-17.6 14.4-32 32-32h285.4c-1.9 17.1-1.9 46.9 0 64z\"><\/path><\/svg>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">\u8ab2\u7a0b\u4f5c\u696d<\/span>                            \n                                                    <\/li>\n                                    <\/ul>\n            <\/div>\n            \n            <div class=\"eael-tabs-content\">\n\t\t        \n                    <div id=\"home-tab\" class=\"clearfix eael-tab-content-item active-default\" data-title-link=\"home-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><style type=\"text\/css\">\n.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/>.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/>.\u3002 {<br \/>\tfont-size: 18px;<br \/>}<br \/><\/style><\/p><p>\u672c\u8ab2\u7a0b\u662f\u7531\u4ea4\u901a\u5927\u5b78<a href=\"https:\/\/www.math.nycu.edu.tw\/event\/index.php\" data-cke-saved-href=\"http:\/\/www.math.nctu.edu.tw\/\">\u61c9\u7528\u6578\u5b78\u7cfb<\/a>\u3001<a href=\"https:\/\/calculus.math.nycu.edu.tw\/\" data-cke-saved-href=\"http:\/\/calculus.nctu.edu.tw\/main.php\">\u5fae\u7a4d\u5206\u6559\u5b78\u5c0f\u7d44<\/a>\u63d0\u4f9b\u3002<\/p><p>\u8fd1\u767e\u9918\u5e74\u4f86\uff0c\u79d1\u5b78\u8207\u5de5\u696d\u6280\u8853\u90fd\u6709\u76f8\u7576\u53ef\u89c0\u7684\u9032\u5c55\u8207\u7a81\u7834\u3002\u9019\u5176\u4e2d\uff0c\u6578\u5b78\u7684\u767c\u5c55\u529f\u4e0d\u53ef\u6c92\u3002\u6578\u5b78\u8207\u5176\u5b83\u79d1\u5b78\u9818\u57df\u4e4b\u9593\u7684\u4e92\u52d5\u767c\u5c55\u8207\u6210\u9577\uff0c\u5728\u79d1\u5b78\u79d1\u6280\u53f2\u4e2d\uff0c\u7e3d\u4ee4\u4eba\u6d25\u6d25\u6a02\u9053\u3002\u81ea\u73fe\u4ee3\u79d1\u5b78\u7684\u8d77\u6e90\u958b\u59cb\uff0c\u5fae\u7a4d\u5206\u7406\u8ad6\u6210\u529f\u5730\u89e3\u6c7a\u4e86\u8a31\u591a\u5929\u6587\u3001\u7269\u7406\u3001\u5316\u5b78\u3001\u5de5\u7a0b\u3001\u5730\u8cea\u5b78\u3001\u751f\u7269\u5b78\u3001\u8ca1\u52d9\u91d1\u878d\u3001\u7d93\u6fdf\u5b78\uff0c\u751a\u81f3\u4eba\u6587\u79d1\u5b78\u7b49\u65b9\u9762\u7684\u554f\u984c\u3002\u300c\u9ad8\u7b49\u5fae\u7a4d\u5206\u300d\uff0c\u9867\u540d\u601d\u7fa9\u662f\u5fae\u7a4d\u5206\u7684\u5ef6\u4f38\u3002\u51fd\u6578\u7684\u5fae\u5206\u3001\u7a4d\u5206\u7406\u8ad6\u8207\u5176\u8a08\u7b97\u81ea\u7136\u662f\u5176\u4e2d\u4e4b\u57fa\u672c\u5167\u5bb9\u3002\u9019\u9580\u8ab2\u5e38\u63a1\u7528\u7684\u6559\u79d1\u66f8\uff0c\u82f1\u6587\u66f8\u540d\u6709\u7684\u662f Advanced Calculus\uff0c\u4e5f\u6709\u8a31\u591a\u66f8\u7684\u66f8\u540d\u6709 classical analysis\u6216\u662fmathematical analysis (\u6578\u5b78\u5206\u6790)\u7b49\u95dc\u9375\u8a5e(\u53c3\u898b\u4e0b\u5217\u53c3\u8003\u66f8\u76ee)\u3002\u4e5f\u5c31\u662f\u8aaa\u9019\u9580\u8ab2\u4e5f\u7d66\u4e86\u6709\u95dc\u5be6\u8b8a\u51fd\u6578\u8ad6(\u5be6\u5206\u6790\uff0c Real Analysis)\u7684\u521d\u6b65\u5f15\u5c0e\u3002<\/p><p>\u70ba\u4e86\u77ad\u89e3\u5be6\u8b8a\u6578(\u55ae\u8b8a\u6578\u81f3\u591a\u8b8a\u6578)\u51fd\u6578\uff0c\u6211\u5011\u5fc5\u9808\u8981\u5c0d\u6b50\u5f0f\u7a7a\u9593(Euclidean space\uff0cRn\u6709\u57fa\u672c\u7684\u7406\u89e3\u3002\u9019\u4fbf\u727d\u6d89\u5230\u9ede\u96c6\u62d3\u6a38(point set topology)\u3002\u6709\u5f88\u591a\u4eba\u5b78\u4e86\u9ad8\u7b49\u5fae\u7a4d\u5206\u4e4b\u5f8c\u624d\u77e5\u9053\u5be6\u6578\u4e2d\u7684\u5b50\u96c6\u5408\u4e5f\u53ef\u4ee5\u975e\u5e38\u7684\u8907\u96dc\u3002\u5982 Cantor set\uff0c\u662f\u5f88\u5bb9\u6613\u63cf\u8ff0\uff0c\u537b\u53c8\u5177\u6709\u8a31\u591a\u9060\u96e2\u76f4\u89c0\u7684\u6027\u8cea\u3002\u800c\u5be6\u8b8a\u51fd\u6578\u4e2d\u4e5f\u53ef\u4ee5\u5b58\u5728\u6709\u8655\u8655\u9023\u7e8c\uff0c\u8655\u8655\u4e0d\u53ef\u5fae\u7684\u4f8b\u5b50\uff0c\u4ee4\u4eba\u4e0d\u53ef\u601d\u8b70\u3002\u4ee5\u524d\u5927\u5bb6\u4ee5\u70ba\u9019\u4e9b\u662f\u5c6c\u65bc\u975e\u5e38\u614b\u7684(pathological)\u4f8b\u5b50\u3002\u8fd1\u4e8c\u5341\u5e74\u4f86\uff0c\u5728\u7406\u8ad6\u7269\u7406\u3001\u52d5\u614b\u7cfb\u7d71\u8207\u788e\u5f62\u7406\u8ad6(fractal)\u7684\u767c\u5c55\u4e0b\uff0c\u79d1\u5b78\u5bb6\u767c\u73fe\u9019\u4e9b\u73fe\u8c61\u662f\u96a8\u8655\u53ef\u898b\u7684\u3002\u6709\u4e00\u672c\u66f8\u66f8\u540d\u53eb\u4f5c\u201dFractal Is Everywhere\u201d\uff0c\u53ef\u898b\u4e00\u822c\u3002Cantor set \u4fbf\u662f\u6700\u57fa\u672c\u7684\u788e\u5f62\u3002\u800c\u8a31\u591a\u52d5\u614b\u7cfb\u7d71\u4e2d\u7684\u4e0d\u8b8a\u96c6(invariant set) \u8207 Brownian motions \u5747\u5448\u73fe\u70ba\u788e\u5f62\u3002\u9ede\u96c6\u62d3\u6a38\u7406\u8ad6\u96d6\u7136\u62bd\u8c61\uff0c\u4f46\u5b83\u69cb\u9020\u51fa\u5be6\u8b8a\u51fd\u6578\u8ad6\u4e4b\u57fa\u790e\ufe54\u5f9e\u9019\u4e9b\u89c0\u5ff5\u884d\u751f\u51fa\u7684\u4e00\u4e9b\u5b9a\u7406\u5982\u6975\u503c\u5b9a\u7406?B\u4e2d\u9593\u503c\u5b9a\u7406\uff0c\u66f4\u63d0\u4f9b\u4e86\u8a31\u591a\u6578\u5b78\u7406\u8ad6\u8207\u61c9\u7528\u554f\u984c\u7684\u8a08\u7b97\u57fa\u790e\u3002<\/p><p>\u300c\u9ad8\u7b49\u5fae\u7a4d\u5206\u300d\u4e5f\u521d\u6b65\u5730\u4ecb\u7d39\u4e86\u51fd\u6578\u7a7a\u9593\u3002\u5176\u4e2d\u51fd\u6578\u5e8f\u5217\u8207\u51fd\u6578\u7d1a\u6578\u5728\u6578\u5b78\u7406\u8ad6\u8207\u61c9\u7528(\u5982 Fourier analysis)\u90fd\u662f\u975e\u5e38\u5730\u57fa\u672c\u4e14\u91cd\u8981\u3002Contraction mapping Theorem, Stone-Weierstrass Theorem, Arzela-Ascoli Theorem, Inverse Function Theorem (\u53cd\u51fd\u6578\u5b9a\u7406), Implicit Function Theorem (\u96b1\u51fd\u6578\u5b9a\u7406)\u7b49\u4e0d\u50c5\u8868\u73fe\u6578\u5b78\u4e4b\u7f8e\uff0c\u66f4\u662f\u6578\u5b78\u7814\u7a76\u8005\u8207\u5404\u7406\u8ad6\u79d1\u5b78\u7814\u7a76\u8005\u5e38\u4f7f\u7528\u7684\u5de5\u5177\u8207\u5e38\u5229\u7528\u7684\u60f3\u6cd5\u3002<br \/>\u6578\u5b78\u7684\u771f\u6709\u8cf4\u65bc\u5176\u5b8c\u5168\u62bd\u8c61\u7684\u666e\u904d\u6027\u3002\u7576\u6211\u5011\u8aaa\uff12\uff0b\uff13\uff1d\uff15\u6642\uff0c\u662f\u8868\u793a\u4e09\u7d44\u201d\u6771\u897f\u201d\u4e4b\u9593\u7684\u95dc\u4fc2\uff0c\u9019\u4e9b\u6771\u897f\u4e0d\u662f\u860b\u679c\u6216\u662f\u9322\uff0c\u6216\u662f\u4efb\u4f55\u4e00\u4ef6\u7279\u5225\u7684\u6771\u897f\uff0c\u5b83\u6240\u4ee3\u8868\u7684\u5c31\u53ea\u662f\u201d\u6771\u897f\u201d\u3002\u9019\u53e5\u8a71\u7684\u610f\u601d\uff0c\u5b8c\u5168\u548c\u5404\u7d44\u7684\u5143\u7d20\u500b\u9ad4\u7121\u95dc\u3002\u6240\u6709\u6578\u5b78\u7684\u300c\u5c0d\u8c61\u300d\u3001\u300c\u7269\u9ad4\u300d\u6216\u95dc\u4fc2\uff0c\u5982\uff12\u3001\uff13\u3001\uff15\u3001\uff0b\u6216\uff1d\uff0c\u4ee5\u53ca\u5b83\u5011\u6240\u5728\u7684\u6578\u5b78\u547d\u984c\uff0c\u90fd\u5b8c\u5168\u662f\u666e\u904d\u7684\uff0c\u610f\u601d\u662f\u5b8c\u5168\u62bd\u8c61\u7684\u3002\u5728\u9ad8\u7b49\u5fae\u7a4d\u5206\u7684\u8ab2\u7a0b\u4e2d\uff0c\u6211\u5011\u4e5f\u5b78\u7fd2\u5c07\u4e00\u4e9b\u719f\u6089\u7684\u6982\u5ff5\u62bd\u8c61\u5316\u3002\u82e5\u7532\u6709\u4e09\u500b\u9285\u677f\uff0c\u4e59\u6709\u56db\u500b\u9285\u677f\uff0c\u5f88\u660e\u986f\u7684\uff0c\u4e59\u64c1\u6709\u7684\u9285\u677f\u500b\u6578\u8f03\u7532\u70ba\u591a\u3002\u5169\u500b\u6709\u9650\u96c6\u5408\uff0c\u6211\u5011\u5f88\u5bb9\u6613\u5224\u5225\u54ea\u4e00\u500b\u7684\u500b\u6578\u8f03\u591a\uff0c\u800c\u5169\u500b\u7121\u9650\u96c6\u5408(\u4f8b\u5982\u6709\u7406\u6578\u8207\u7121\u7406\u6578)\uff0c\u8981\u5982\u4f55\u5224\u5b9a\u5176\u500b\u6578\u7684\u591a\u5be1\u5462\uff1f<\/p><p>\u6b64\u5916\uff0c\u5c07\u8ddd\u96e2\u7684\u6982\u5ff5\u62bd\u96e2\u51fa\u4f86\uff0c\u6211\u5011\u53ef\u4ee5\u5728\u5404\u7a2e\u7406\u8ad6\u6240\u9700\u6216\u61c9\u7528\u554f\u984c\u6240\u9700\u4e4b\u7a7a\u9593\u8ce6\u4e88\u9069\u7576\u7684\u8ddd\u96e2\u5b9a\u7fa9\uff0c\u9032\u800c\u5efa\u7acb\u76f8\u95dc\u96c6\u5408\u6027\u8cea\u8207\u51fd\u6578\u6027\u8cea\u3002\u5728\u61c9\u7528\u79d1\u5b78\u4e2d\uff0c\u9019\u500b\u904e\u7a0b\u53ef\u4ee5\u6709\u9a5a\u4eba\u7684\u6548\u7528\u3002\u4f8b\u5982\uff0c\u85c9\u7531\u5efa\u7acb\u4e00\u500b\u540c\u69cb(homeomorphism)\uff0c\u6211\u5011\u53ef\u4ee5\u628a\u4e00\u500b\u6700\u57fa\u672c\u7684\u751f\u614b\u6a21\u578b\u5982logistic map\u4e4b\u6df7\u6c8c\u52d5\u614b\u884c\u70ba(chaos)\u5c0d\u7b49\u65bc\u4e00\u500b\u7b26\u865f\u52d5\u614b\u7cfb\u7d71(symbolic dynamics)\u3002\u5f8c\u8005\u53ef\u8f15\u6613\u70ba\u5177\u6709\u521d\u7b49\u6578\u5b78\u80cc\u666f\u8005\u77ad\u89e3\u3002\u6240\u8b02\u300c\u6a6b\u770b\u6210\u5cf0\u5074\u6210\u5dba\u300d\u8a31\u591a\u79d1\u5b78\u554f\u984c\u5f9e\u4e0d\u540c\u89d2\u5ea6\u53bb\u89c0\u770b\uff0c\u5f80\u5f80\u6709\u610f\u60f3\u4e0d\u5230\u7684\u6536\u7a6b\u3002\u5982\u4f55\u900f\u904e\u77ad\u89e3\u554f\u984c\u7684\u672c\u8cea\uff0c\u85c9\u7531\u5fc5\u8981\u62bd\u8c61\u5316\u800c\u5f97\u4ee5\u5f9e\u4e0d\u540c\u89d2\u5ea6\u770b\u554f\u984c\uff0c\u662f\u6578\u5b78\u4f5c\u70ba\u4e00\u7a2e\u79d1\u5b78\u601d\u8003\u6700\u5927\u7684\u50f9\u503c\u3002\u800c\u4eba\u7684\u76f4\u89c0\u6709\u5176\u4fb7\u9650\u6027\uff0c\u5728\u60f3\u50cf\u8207\u63a8\u5ee3\u4e4b\u80cc\u5f8c\uff0c\u9700\u6709\u7e1d\u5bc6\u56b4\u8b39\u4e4b\u908f\u8f2f\u63a8\u7406\uff0c\u6b78\u7d0d\u6f14\u7e79\uff0c\u624d\u80fd\u767c\u5c55\u51fa\u9069\u5207\u4e4b\u60f3\u6cd5\u8207\u5fc5\u8981\u4e4b\u5de5\u5177\uff0c\u800c\u4e0d\u6703\u56e0\u5dee\u4e4b\u6beb\u91d0\u800c\u5931\u4e4b\u5343\u91cc\u3002 \u5b78\u7fd2\u300c\u9ad8\u7b49\u5fae\u7a4d\u5206\u300d\u7684\u300c\u904e\u7a0b\u300d\u662f\u5b78\u7fd2\u6578\u5b78\u7684\u6700\u57fa\u672c\u4e14\u91cd\u8981\u7684discipline (\u5177\u5916\u52a0\u7d00\u5f8b\u4e4b\u8a13\u7df4), \u5176\u4e2d\u91cd\u8981\u7684\u8ab2\u984c\u662f\u5982\u4f55\u5f9e\u6700\u57fa\u672c\u7684\u6578\u5b78\u5047\u8a2d\u51fa\u767c\uff0c\u4ee5\u56b4\u5bc6\u7684\u908f\u8f2f\u63a8\u7406\uff0c\u4e00\u6b65\u4e00\u6b65\u62bd\u7d72\u525d\u7e6d\u5730\u5206\u6790\uff0c\u4e26\u89e3\u6c7a\u6240\u9762\u5c0d\u7684\u554f\u984c\u3002\u82f1\u570b\u7684\u5927\u6578\u5b78\u5bb6\u54c8\u5730(Hardy)\u66fe\u8aaa\u904e\uff1a\u6578\u5b78\u4e4b\u7f8e\u4f9d\u8cf4\u5176\u56b4\u8b39\u6027\u3002\u4e8b\u5be6\u4e0a\uff0c\u9019\u7a2e\u56b4\u683c\u7684\u5206\u6790\u8a13\u7df4\u5c0d\u6bcf\u4e00\u5b78\u9580\u90fd\u662f\u5fc5\u8981\u7684\u3002\u96d6\u7136\uff0c\u5c0d\u521d\u5b78\u7684\u4eba\u4f86\u8aaa\uff0c\u5b83\u76f8\u7576\u4e0d\u5bb9\u6613\u4e0a\u624b\uff0c\u4f46\u662f\uff0c\u4e00\u65e6\u4e0a\u8def\uff0c\u4fbf\u662f\u555f\u958b\u6578\u5b78\u4e4b\u70ba\u4e00\u7a2e\u79d1\u5b78\u601d\u8003\u8207\u5fc5\u8981\u5de5\u5177\u4e4b\u5927\u9580\u3002\u5c0d\u96fb\u6a5f\u3001\u8cc7\u8a0a\u3001\u751f\u7269\u3001\u91ab\u5b78\u3001\u7d71\u8a08\u3001\u8ca1\u52d9\u91d1\u878d\u3001\u7d93\u6fdf\u7b49\u61c9\u7528\u79d1\u5b78\u9818\u57df\u4f86\u8aaa\uff0c\u6108\u7d2e\u5be6\u4e4b\u57fa\u790e\u6578\u5b78\u8a13\u7df4\u5c0d\u5176\u5c08\u696d\u77e5\u8b58\u8207\u7406\u8ad6\u4e4b\u638c\u63e1\u8207\u767c\u63ee\uff0c\u6108\u6709\u52a0\u4e58\u52a0\u500d\u4e4b\u52a9\u529b\u3002\u300c\u9ad8\u7b49\u5fae\u7a4d\u5206\u300d\u63d0\u4f9b\u4e86\u79d1\u5b78\u4eba\uff0c\u79d1\u6280\u4eba\u300c\u521d\u7b49\u5fae\u7a4d\u5206\u300d\u8ab2\u7a0b\u4e4b\u5f8c\uff0c\u6700\u597d\u7684\u57fa\u790e\u6578\u5b78\u8a13\u7df4\u6a5f\u6703\u3002<\/p><p>\u8ab2\u7a0b\u7528\u66f8\uff1aRudin, Walter. Principles of Mathematical Analysis. 3rd ed. New York, NY: McGraw-Hill, Inc., 1976.<\/p><p>\u70ba\u6c42\u5b78\u7fd2\u6210\u6548\u5b8c\u7f8e\uff0c\u8acb\u8cfc\u8cb7\u8ab2\u672c\uff01<\/p><div>\u00a0<\/div><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\">\u6388\u8ab2\u6559\u5e2b<\/th><td bgcolor=\"#EEEEEE\" width=\"518\"><span style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">\u00a0\u61c9\u7528\u6578\u5b78\u7cfb \u767d\u555f\u5149\u8001\u5e2b<\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u8ab2\u7a0b\u5b78\u5206<\/th><td class=\"\u3002\"><span style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">\u00a04\u5b78\u5206<\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u6388\u8ab2\u5e74\u5ea6<\/th><td bgcolor=\"#EEEEEE\">\u00a097\u5b78\u5e74\u5ea6<\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u6388\u8ab2\u5c0d\u8c61<\/th><td>\u00a0\u5927\u5b78\u4e8c\u5e74\u7d1a\u5b78\u751f<\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u9810\u5099\u77e5\u8b58<\/th><td bgcolor=\"#EEEEEE\">\u00a0\u57fa\u790e\u6578\u5b78\u3001\u5fae\u7a4d\u5206<\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">\u8ab2\u7a0b\u63d0\u4f9b<\/th><td><i><\/i>\u00a0<a href=\"\/?course_page=all-course%2Fcollege-of-science%2Fam%2Fadvanced-calculus-ii-97#video\">\u8ab2\u7a0b\u5f71\u97f3<\/a>\u00a0 \u00a0<a href=\"\/?course_page=all-course%2Fcollege-of-science%2Fam%2Fadvanced-calculus-ii-97#syllabus\">\u8ab2\u7a0b\u7db1\u8981<\/a> \u00a0\u00a0<a href=\"\/?course_page=all-course%2Fcollege-of-science%2Fam%2Fadvanced-calculus-ii-97#calendar\">\u8ab2\u7a0b\u884c\u4e8b\u66c6<\/a> \u00a0 <a href=\"\/?course_page=all-course%2Fcollege-of-science%2Fam%2Fadvanced-calculus-ii-97#homework\">\u8ab2\u7a0b\u4f5c\u696d<\/a><\/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-2\" class=\"tablepress tablepress-id-2\">\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\">\u8ab2\u7a0b\u4ecb\u7d39<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6273\">\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\">\u7b2c\u516d\u7ae0 The Riemann-Stieltjes Integral<br \/>\nIntegration and Differentiation<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6266\">\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\u4e03\u7ae0 Sequence and Series of Functions<br \/>\nSequence and Series of Functions - the Main Problem<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6265\">\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\">Uniform Convergence and Continuity<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6263\">\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\">Uniform Convergence and Integration<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6261\">\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\">Uniform Convergence and Differentiation<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6259\">\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\">Equicontinuous Family of Functions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6257\">\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\">The Stone-Weierstrass Theorem<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6255\">\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\">\u7b2c\u516b\u7ae0 Some Special Functions<br \/>\nPower series<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6253\">\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\">Some Special Functions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6251\">\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\">Fourier Series<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6249\">\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\">The Gamma Function<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6247\">\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\u4e5d\u7ae0 Functions of several variables<br \/>\nFunction of Several Variables<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6245\">\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\">Function of Several Variables\uff1aDifferentiation(1\/5)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6243\">\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\">Function of Several Variables\uff1aDifferentiation(2\/5)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6241\">\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\">Function of Several Variables\uff1aDifferentiation(3\/5)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6239\">\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\">Function of Several Variables\uff1aDifferentiation(4\/5)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6237\">\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\">Function of Several Variables\uff1aDifferentiation(5\/5)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6235\">\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\">The Inverse Function Theorem(1\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6233\">\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\">The Inverse Function Theorem(2\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6231\">\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\">The Inverse Function Theorem(3\/3)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6221\">\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\">The Implicit Function Theorem(1\/2)<\/td><td class=\"column-3\"><a href=\"?post_type=course_page&amp;p=6219\">\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\">The Implicit Function Theorem(2\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6205\">\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\">The Rank Theorem<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6203\">\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\">Determinants<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6201\">\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\">Differentiation of Integrals(1\/2)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=6190\">\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\">Differentiation of Integrals(2\/2)<\/td><td class=\"column-3\"><a href=\"\/?course_page=all-course%2Fcollege-of-science%2Fam%2Fadvanced-calculus-ii-97%2F980611-2\">\u7dda\u4e0a\u89c0\u770b<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-2 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\/\u6982\u8ff0<\/strong><\/p>\n<p class=\"text\">\u5b78\u7fd2\u300c\u9ad8\u7b49\u5fae\u7a4d\u5206\u300d\u7684\u300c\u904e\u7a0b\u300d\u662f\u5b78\u7fd2\u6578\u5b78\u7684\u6700\u57fa\u672c\u4e14\u91cd\u8981\u7684discipline , \u5176\u4e2d\u91cd\u8981\u7684\u8ab2\u984c\u662f\u5982\u4f55\u5f9e\u6700\u57fa\u672c\u7684\u6578\u5b78\u5047\u8a2d\u51fa\u767c\uff0c\u4ee5\u56b4\u5bc6\u7684\u908f\u8f2f\u63a8\u7406\uff0c\u4e00\u6b65\u4e00\u6b65\u62bd\u7d72\u525d\u7e6d\u5730\u5206\u6790\uff0c\u4e26\u89e3\u6c7a\u6240\u9762\u5c0d\u7684\u554f\u984c\u3002\u5c0d\u96fb\u6a5f\u3001\u8cc7\u8a0a\u3001\u751f\u7269\u3001\u91ab\u5b78\u3001\u7d71\u8a08\u3001\u8ca1\u52d9\u91d1\u878d\u3001\u7d93\u6fdf\u7b49\u61c9\u7528\u79d1\u5b78\u9818\u57df\u4f86\u8aaa\uff0c\u6108\u7d2e\u5be6\u4e4b\u57fa\u790e\u6578\u5b78\u8a13\u7df4\u5c0d\u5176\u5c08\u696d\u77e5\u8b58\u8207\u7406\u8ad6\u4e4b\u638c\u63e1\u8207\u767c\u63ee\uff0c\u6108\u6709\u52a0\u4e58\u52a0\u500d\u4e4b\u52a9\u529b\u3002\u300c\u9ad8\u7b49\u5fae\u7a4d\u5206\u300d\u63d0\u4f9b\u4e86\u79d1\u5b78\u4eba\uff0c\u79d1\u6280\u4eba\u300c\u521d\u7b49\u5fae\u7a4d\u5206\u300d\u8ab2\u7a0b\u4e4b\u5f8c\uff0c\u6700\u597d\u7684\u57fa\u790e\u6578\u5b78\u8a13\u7df4\u6a5f\u6703\u3002\n<br \/><br \/>\n<p class=\"title\"><strong>\u8ab2\u7a0b\u7ae0\u7bc0\/\u6982\u8ff0<\/strong><\/p>\n<table border=\"1\" cellspacing=\"0\">\n<tbody>\n<tr class=\"stitle\">\n<td bgcolor=\"#FFF3DB\" width: 40%><strong> \u7ae0\u7bc0<\/strong><\/td>\n<td bgcolor=\"#FFF3DB\" width: 60%><strong> \u4e3b\u984c\u5167\u5bb9<\/strong><\/td>\n<\/tr>\n<tr>\n<td><span class=\"text\">\u7b2c\u516d\u7ae0<\/td>\n<td><span class=\"text\">The Real and Complex Number Systems<\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u4e03\u7ae0<\/td>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">Basic Topology<\/td>\n<\/tr>\n<tr>\n<td><span class=\"text\">\u7b2c\u516b\u7ae0<\/td>\n<td><span class=\"text\">Numerical Sequences and Series<\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u4e5d\u7ae0<\/td>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">Continuity<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<br \/>\n<p class=\"title\"><strong>\u8ab2\u7a0b\u66f8\u76ee<\/strong><\/p>\n<p class=\"text\">Rudin, Walter. Principles of Mathematical Analysis. 3rd ed. New York, NY: McGraw-Hill, Inc., 1976. ISBN: 007054235X.<\/p>\n<br \/>\n<p class=\"title\"><strong>\u8a55\u5206\u6a19\u6e96<\/strong><\/p>\n<table border=\"1\" cellspacing=\"0\">\n<tbody>\n<tr class=\"stitle\">\n<td bgcolor=\"#FFF3DB\" width:70%><strong>\u9805\u76ee<\/strong><\/td>\n<td bgcolor=\"#FFF3DB\" width:30%><strong>\u767e\u5206\u6bd4<\/strong><\/td>\n<\/tr>\n<tr>\n<td><span class=\"text\">\u7fd2\u984c\u8ab2<\/td>\n<td><span class=\"text\">10%<\/span><\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">\u4f5c\u696d<\/td>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">10%<\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"text\">\u5c0f\u8003<\/td>\n<td><span class=\"text\">10%<\/span><\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">\u8ab2\u5802\u7b46\u8a18<\/td>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">5%<\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"text\">\u8ab2\u5802\u5b78\u7fd2\u55ae<\/td>\n<td><span class=\"text\">5%<\/span><\/td>\n<\/tr>\n<tr>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">\u671f\u4e2d\u8003<\/td>\n<td bgcolor=\"#f2f2ec\"><span class=\"text\">30%<\/span><\/td>\n<\/tr>\n<tr>\n<td><span class=\"text\">\u671f\u672b\u8003<\/td>\n<td><span class=\"text\">30%<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/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 align=\"left\" style=\"TEXT-ALIGN: left\">\n  <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><br \/>\n<\/p>\n<table border=\"1\" cellspacing=\"0\" style=\"font-style: normal; line-height: 20px; font-size: 15px; text-align: center;\">\n\n\t<tbody>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#e4d8b0\" width=\"76\">\n\t\t\t  <div style=\"TEXT-ALIGN: center\">\n\t\t\t\t\t<span style=\"COLOR: #000000; font-weight: bold;\"><strong>\u5b78\u671f\u9031\u6b21<\/strong><\/span><\/div>\n\t\t\t<\/td>\n\t\t\t<td bgcolor=\"#e4d8b0\" width=\"135\">\n\t\t\t  <div align=\"center\"  style=\"TEXT-ALIGN: center\">\n\t\t\t\t\t<span style=\"font-family: &quot;Times New Roman&quot;; font-weight: bold;\"><strong>\u4e0a\u8ab2\u65e5\u671f<\/strong><\/span><\/div>\n\t\t\t<\/td>\n\t\t\t<td bgcolor=\"#e4d8b0\" width=\"440\">\n\t\t\t\t<div style=\"TEXT-ALIGN: center; font-size: 15px; font-weight: bold;\"><strong>\u53c3\u8003\u8ab2\u7a0b\u9032\u5ea6<\/strong>\n\t\t\t\t<\/div>\n\t\t  <\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" style=\"text-align: center\">\n\t\t\t\t<p>\n\t\t\t\t\t<span class=\"text\">\u7b2c\u4e00\u9031<\/span><\/p>\n\t\t\t<\/td>\n\t\t  <td style=\"line-height: 20px; font-style: normal; font-size: 15px; text-align: center\">2009\/02\/24<\/td>\n\t\t\t<td style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Integration and Differentiation\u00a0<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td>2009\/02\/26<\/td>\n\t\t\t<td style=\"text-align: left\"><ul>\n\t\t\t  <li>Sequence and Series of Functions --- the Main Problem<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e8c\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">2009\/03\/03<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Uniform Convergence and Continuity\t\t\t\t\t<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\">2009\/03\/05<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\"><ul>\n\t\t\t  <li>Uniform Convergence and Integration <\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e09\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: center\">2009\/03\/10<\/td>\n\t\t\t<td style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Uniform Convergence and Differentiation<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td>2009\/03\/12<\/td>\n\t\t\t<td style=\"text-align: left\"><ul>\n\t\t\t  <li>\u5c0f\u8003<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u56db\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">2009\/03\/31<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Equicontinuous Family of Functions<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\">2009\/04\/02<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\"><ul>\n\t\t\t  <li>\u6821\u969b\u6d3b\u52d5\uff0c\u505c\u8ab2\u00a0<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e94\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: center\">2009\/04\/07<\/td>\n\t\t\t<td style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>The Stone-Weirstrass Theorem\u00a0<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td>2009\/04\/09<\/td>\n\t\t\t<td style=\"text-align: left\"><ul>\n\t\t\t  <li>Power series<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u516d\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">2009\/04\/14<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Some Special Functions<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">2009\/04\/16<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\"><ul>\n\t\t\t  <li>Fourier Series<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e03\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: center\">2009\/04\/21<\/td>\n\t\t\t<td style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>The Gamma Function\u3000<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">2009\/04\/23<\/td>\n\t\t\t<td style=\"text-align: left\"><ul>\n\t\t\t  <li>\u671f\u4e2d\u8003<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u516b\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">2009\/04\/28<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Function of Several Variables<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">2009\/04\/30<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\"><ul>\n\t\t\t  <li>Function of Several Variables\uff1aDifferentiation<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u4e5d\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: center\">2009\/05\/07<\/td>\n\t\t\t<td style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Function of Several Variables\uff1aDifferentiation<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td>2009\/05\/09<\/td>\n\t\t\t<td style=\"text-align: left\"><ul>\n\t\t\t  <li>\u5c0f\u8003<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">2009\/05\/12<\/td>\n\t\t\t<td bgcolor=\"#F2F2EC\" style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>The Inverse Function Theorem<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\">2009\/05\/14<\/td>\n\t\t\t<td bgcolor=\"#F2F2EC\" style=\"text-align: left\"><ul>\n\t\t\t  <li>The Inverse Function Theorem<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e00\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: center\">2009\/05\/19<\/td>\n\t\t\t<td style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>The Implicit  Function Theorem<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td>2009\/05\/21<\/td>\n\t\t\t<td style=\"text-align: left\"><ul>\n\t\t\t  <li>The Implicit  Function Theorem<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e8c\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: center\">2009\/05\/26<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>The Rank Theorem<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\">2009\/05\/28<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\"><ul>\n\t\t\t  <li>\u7aef\u5348\u7bc0\uff0c\u653e\u5047\u00a0<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e09\u9031<\/span><\/td>\n\t\t\t<td style=\"text-align: center\">2009\/06\/02<\/td>\n\t\t\t<td style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>\u5c0f\u8003<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td style=\"text-align: center\">2009\/06\/04<\/td>\n\t\t\t<td style=\"text-align: left\"><ul>\n\t\t\t  <li>The Rank Theorem<\/li>\n\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u56db\u9031<\/span><\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"line-height: 20px; font-style: normal; font-size: 15px; text-align: center\">2009\/06\/09<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Determinants<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\">2009\/06\/11<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\"><ul>\n\t\t\t  <li>Derivative of Higher Order<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" style=\"text-align: center\">\n\t\t\t\t<span class=\"text\">\u7b2c\u5341\u4e94\u9031<\/span><\/td>\n\t\t\t<td style=\"line-height: 20px; font-style: normal; font-size: 15px; text-align: center\">2009\/06\/16<\/td>\n\t\t\t<td style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>Differentiation of Integrals<\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td>2009\/06\/18<\/td>\n\t\t\t<td style=\"text-align: left\"><ul>\n\t\t\t  <li>Differentiation of Integrals<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td rowspan=\"2\" bgcolor=\"#f2f2ec\" style=\"text-align: center\">\n\t\t\t\t<p>\n\t\t\t\t\t\u7b2c\u5341\u516d\u9031<\/p>\n\t\t\t<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"line-height: 20px; font-style: normal; font-size: 15px; text-align: center\">2009\/06\/23<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\">\n\t\t\t\t<ul>\n\t\t\t\t\t<li>\u505c\u8ab2<\/li>\n\t\t\t\t<\/ul><\/td>\n\t\t<\/tr>\n\t\t<tr>\n\t\t\t<td bgcolor=\"#f2f2ec\">2009\/06\/25<\/td>\n\t\t\t<td bgcolor=\"#f2f2ec\" style=\"text-align: left\"><ul>\n\t\t\t  <li>\u671f\u672b\u8003<\/li>\n\t\t    <\/ul><\/td>\n\t\t<\/tr>\n\t<\/tbody>\n<\/table>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"homework-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"homework-tab\">\n\t\t\t\t        \t\t\t\t\t        <p><strong class=\"title\">\u8ab2\u7a0b\u4f5c\u696d Course Homework<\/strong><\/p><table style=\"border-collapse; line-height: 17px; font-size: 15px;\" border=\"1\"><tbody><tr><td bgcolor=\"#e4d8b0\" width=\"329\"><div class=\"stitle\" style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u9031\u6b21<\/strong><\/span><\/div><\/td><td bgcolor=\"#e4d8b0\" width=\"188\"><div class=\"stitle\" style=\"text-align: center;\" align=\"center\"><span style=\"font-family: 'Times New Roman';\"><strong>\u4e0b\u8f09\u9023\u63a5<\/strong><\/span><\/div><\/td><\/tr><tr style=\"height: 0px;\"><td style=\"width: 70%; height: 0px; text-align: left;\">\u7b2c\u4e00\u9031<\/td><td style=\"width: 30%; height: 0px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW01.pdf\">HW1<\/a><\/td><\/tr><tr style=\"height: 0px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 0px; text-align: left;\">\u7b2c\u4e8c\u9031<\/td><td style=\"width: 30%; height: 0px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW02.pdf\">HW2<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u4e09\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW03.pdf\">HW3<\/a><\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u56db\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW04.pdf\">HW4<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u4e94\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW05.pdf\">HW5<\/a><\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u516d\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW06.pdf\">HW6<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u4e03\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\">\u00a0<\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u516b\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW08.pdf\">HW8<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u4e5d\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW09.pdf\">HW9<\/a><\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW10.pdf\">HW10<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u4e00\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\">\u00a0<\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u4e8c\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW12.pdf\">HW12<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u4e09\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW13.pdf\">HW13<\/a><\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u56db\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/mp4\/ma972_mp4\/HW\/HW14.pdf\">HW14<\/a><\/td><\/tr><tr style=\"height: 21px;\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u4e94\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\">\u00a0<\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u516d\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\">\u00a0<\/td><\/tr><tr style=\"height: 21px;\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u4e03\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\">\u00a0<\/td><\/tr><tr style=\"height: 21px;\" bgcolor=\"#f2f2ec\"><td style=\"width: 70%; height: 21px; text-align: left;\">\u7b2c\u5341\u516b\u9031<\/td><td style=\"width: 30%; height: 21px; text-align: center;\">\u00a0<\/td><\/tr><\/tbody><\/table><p>\u00a0<\/p><div id=\"gtx-trans\" style=\"position: absolute; left: 453px; top: 726px;\"><div class=\"gtx-trans-icon\">\u00a0<\/div><\/div>\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 elementor-widget-divider\" data-id=\"d7723a8\" 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