{"id":29296,"date":"2022-09-13T15:13:03","date_gmt":"2022-09-13T07:13:03","guid":{"rendered":"https:\/\/ocw.nycu.edu.tw\/?post_type=course_page&#038;p=29296"},"modified":"2024-11-18T10:17:22","modified_gmt":"2024-11-18T02:17:22","slug":"calculus-i-103-academic-year-department-of-applied-mathematics-prof-jonq-juang","status":"publish","type":"course_page","link":"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-science\/department-of-applied-mathematics\/calculus-i-103-academic-year-department-of-applied-mathematics-prof-jonq-juang","title":{"rendered":"Calculus I &#8211; 103 Academic Year | Department of Applied Mathematics Prof. Jonq Juang"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"29296\" class=\"elementor elementor-29296\">\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\">\n\t\t\t\t\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_16639\" 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\t\t\t\t\t<h3 class=\"penci-ibox-title\">Calculus I - 103 Academic Year<\/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\" 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8v16z\"><\/path><\/svg>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">Course Syllabus<\/span>                            \n                                                    <\/li>\n                                            <li id=\"calendar\" class=\"inactive eael-tab-item-trigger\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"calendar-tab\" aria-expanded=\"false\">\n                            \n                                                                <svg class=\"e-font-icon-svg e-far-calendar-alt\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M148 288h-40c-6.6 0-12-5.4-12-12v-40c0-6.6 5.4-12 12-12h40c6.6 0 12 5.4 12 12v40c0 6.6-5.4 12-12 12zm108-12v-40c0-6.6-5.4-12-12-12h-40c-6.6 0-12 5.4-12 12v40c0 6.6 5.4 12 12 12h40c6.6 0 12-5.4 12-12zm96 0v-40c0-6.6-5.4-12-12-12h-40c-6.6 0-12 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Handout<\/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 style=\"margin-bottom: 10px; line-height: 28px; color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\">\u672c\u8ab2\u7a0b\u662f\u7531\u00a0<a href=\"https:\/\/www.math.nycu.edu.tw\/\" target=\"_blank\" rel=\"noopener\">\u570b\u7acb\u967d\u660e\u4ea4\u901a\u5927\u5b78\u61c9\u7528\u6578\u5b78\u7cfb<\/a>\u63d0\u4f9b\u3002<\/p><p style=\"margin-bottom: 10px; 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style=\"color: #3366ff; font-size: 16px;\">Textbook\uff1a<\/span><\/p><p><span style=\"font-size: 16px;\">Calculus(Early Transendentals), James Stewart, 7th Edition Publisher: Cengage Learning<br \/><\/span><\/p><p><span style=\"color: #ff00ff;\">For perfect learning results, please buy textbooks!<\/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\">Instructor(s)<\/th><td bgcolor=\"#EEEEEE\" width=\"518\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0Department of Applied Mathematics Prof. Jonq Juang<\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Course Credits<\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a04\u00a0Credits<\/span><\/span><\/td><\/tr><tr><th class=\"text\" style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Academic Year<\/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 Academic Year<\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Level<\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0Freshman<\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Prior Knowledge<\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0High School Math<\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\">Related Resources<\/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\">Course Video<\/a>\u00a0 \u00a0<a href=\"#syllabus\">Course Syllabus<\/a>\u00a0 \u00a0<a href=\"#calendar\">Course Calendar<\/a>\u00a0 \u00a0 <a href=\"#handout\">Course Handout<\/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-63\" class=\"tablepress tablepress-id-63\">\n<thead>\n<tr class=\"row-1 odd\">\n\t<th class=\"column-1\">Week<\/th><th class=\"column-2\">Course Content<\/th><th class=\"column-3\">Course Video<\/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\">\u838a\u91cd\u8001\u5e2b\u771f\u5fc3\u544a\u767d<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=29316&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\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=31972&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e00\u7ae0 Functions and Models<br \/>\n1.5 Exponential Functions <br \/>\n1.6 Inverse Functions and Logarithms <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31978&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e8c\u7ae0 Limits and derivatives <br \/>\n2.2 The Limit of a Function <br \/>\n2.3 Calculating Limits Using the Limit Laws<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31984&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">2.4 The Precise Definition of a Limit<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31990&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-7 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">2.5 Continuity<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=31996&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-8 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">2.6 Limits at Infinity, Horizontal Asymptotes<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32002&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-9 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">2.7 Derivatives and Rates of Change<br \/>\n(\u672c\u5f71\u7247\u5167\u5bb9\u6709\u90e8\u5206\u932f\u8aa4\uff0c\u8a73\u898bYouTube\u7559\u8a00)<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32008&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-10 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">2.8 The Derivative as a Function<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32014&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-11 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e09\u7ae0 Differentiation Rules<br \/>\n3.1 Derivatives of Polynomials and Exponential Functions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32020&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-12 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.2 The Product and Quotient Rules<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32026&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-13 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.3 Derivatives of Trigonometric Functions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32032&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-14 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.4 The Chain Rule<br \/>\n(\u672c\u5f71\u7247\u5167\u5bb9\u6709\u90e8\u5206\u932f\u8aa4\uff0c\u8a73\u898bYouTube\u7559\u8a00) <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32038&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-15 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.5 Implicit Differentiation<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32046&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-16 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.6 Derivatives of Logarithmic Functions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32052&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-17 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.9 Related Rates<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32058&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-18 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.10 Linear Approximations and Differentials<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32064&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-19 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u56db\u7ae0 Applications of Differentiation<br \/>\n4.1 Maximum and Minimum Values <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32070&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-20 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">4.2 The Mean Value Theorem<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32076&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-21 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">4.3 How Derivatives Affect the Shape of a Graph<br \/>\n4.5 Summary of Curve Sketching<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32082&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-22 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">4.4 Indeterminate Forms and L\u2019Hospital\u2019s Rule<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32088&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-23 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">4.7 Optimization Problems<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32094&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-24 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">4.9 Antiderivatives<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32100&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-25 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e94\u7ae0 Integrals<br \/>\n 5.1 Areas and Distances <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32106&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-26 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">5.2 The Definite Integral<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32115&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-27 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">5.3 The Fundamental Theorem of Calculus<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32121&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-28 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">5.4 Indefinite Integrals and the Net Change Theorem<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32129&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-29 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">5.5 The Substitution Rule<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32135&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-30 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u516d\u7ae0 Applications of Integration <br \/>\n6.1 Areas between Curves <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32141&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-31 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">6.2 Volumes<br \/>\n6.3 Volumes by Cylindrical Shells<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32147&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-32 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">6.5 Average Value of a Function<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32153&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-33 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u4e03\u7ae0 Techniques of Integration <br \/>\n7.1 Integration by Parts<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32159&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-34 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">7.2 Trigonometric Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32165&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-35 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">7.3 Trigonometric Substitution<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32171&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-36 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">7.4 Integration of Rational Functions by Partial Fractions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32177&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-37 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">7.7 Approximate Integration<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32183&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-38 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">7.8 Improper Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32189&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-39 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u516b\u7ae0 Further Applications of Integration<br \/>\n8.1 Arc Length<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32195&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-40 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">8.2 Area of a Surface of Revolution<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32201&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-41 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">8.5 Probability<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32210&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-42 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">\u7b2c\u5341\u7ae0 Parametric Equations and Polar Coordinates<br \/>\n10.1 Curves Defined by Parametric Equations<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32216&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-43 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">10.2 Calculus with Parametric Curves<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=32222&amp;lang=en\">Watch Online<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-63 from cache -->\u00a0<\/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\u9664\u4e86\u5fae\u5206\u7a4d\u5206\u4e4b\u65b9\u6cd5\u8207\u8a08\u7b97\u4e4b\u5916\uff0c\u5b78\u7fd2\u91cd\u9ede\u5728\u65bc\u57fa\u672c\u6578\u5b78\u89c0\u5ff5\u7684\u7406\u89e3\u3002\u4f8b\u5982\u4e2d\u9593\u503c\u5b9a\u7406\u3001\u5e73\u5747\u503c\u5b9a\u7406\u3001\u6975\u503c\u5b9a\u7406\u7b49\u3002\u9019\u4e9b\u5b9a\u7406\u4e0d\u50c5\u672c\u8eab\u6709\u5176\u57fa\u672c\u61c9\u7528\u7684\u50f9\u503c\uff0c\u80cc\u5f8c\u4e5f\u6709\u5b83\u5011\u6578\u5b78\u7684\u6db5\u7fa9\u8207\u60f3\u6cd5\u3002\u77ad\u89e3\u9019\u4e9b\u60f3\u6cd5\uff0c\u4e00\u65b9\u9762\u53ef\u4ee5\u63a8\u5ee3\u9019\u4e9b\u5b9a\u7406\uff0c\u53e6\u4e00\u65b9\u9762\u7576\u6211\u5011\u9762\u81e8\u66f4\u8907\u96dc\u7684\u554f\u984c\u6642\uff0c\u89e3\u6c7a\u554f\u984c\u521d\u6b65\u7684\u8a66\u63a2\u53ef\u4ee5\u4ee5\u9019\u4e9b\u57fa\u672c\u6578\u5b78\u60f3\u6cd5\u505a\u70ba\u57fa\u790e\u6216\u505a\u70ba\u985e\u6bd4\u3002\u9019\u662f\u6578\u5b78\u505a\u70ba\u4e00\u7a2e\u79d1\u5b78\u601d\u8003\u7684\u50f9\u503c\u3002<\/p><p>\u00a0<\/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\u4e00\u7ae0<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">Functions and Model<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u4e8c\u7ae0<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Limits and derivatives<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7b2c\u4e09\u7ae0<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">Differentiation Rules<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u56db\u7ae0<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Applications of Differentiation<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7b2c\u4e94\u7ae0<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">Integrals<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u516d\u7ae0<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Applications of Integration<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">\u7b2c\u4e03\u7ae0<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">Techniques of Integration<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u516b\u7ae0<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Further Applications of Integration<\/span><\/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><\/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>\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\u4e00\u7ae0 Functions and Model<\/span><\/p><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>1.5 Exponential Functions <br \/>1.6 Inverse Functions and Logarithms<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u4e8c\u7ae0 Limits and derivatives<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>2.2 The Limit of a Function <br \/>2.3 Calculating Limits Using the Limit Laws <br \/>2.4 The Precise Definition of a Limit <br \/>2.5 Continuity <br \/>2.6 Limits at Infinity; Horizontal Asymptotes <br \/>2.7 Derivatives and Rates of Change <br \/>2.8 The Derivative as a Function<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u4e09\u7ae0 Differentiation Rules<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>3.1 Derivatives of Polynomials and Exponential Functions <br \/>3.2 The Product and Quotient Rules <br \/>3.3 Derivatives of Trigonometric Functions <br \/>3.4 The Chain Rule <br \/>3.5 Implicit Differentiation <br \/>3.6 Derivatives of Logarithmic Functions <br \/>3.9 Related Rates <br \/>3.10 Linear Approximations and Differentials<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u56db\u7ae0 The Properties of Gases<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>4.1 Maximum and Minimum Values <br \/>4.2 The Mean Value Theorem <br \/>4.3 How Derivatives Affect the Shape of a Graph <br \/>4.4 Indeterminate Forms and L\u2019Hospital\u2019s Rule <br \/>4.5 Summary of Curve Sketching <br \/>4.7 Optimization Problems <br \/>4.9 Antiderivatives<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u4e94\u7ae0 Integrals<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>5.1 Areas and Distances <br \/>5.2 The Definite Integral <br \/>5.3 The Fundamental Theorem of Calculus <br \/>5.4 Indefinite Integrals and the Net Change Theorem <br \/>5.5 The Substitution Rule<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u516d\u7ae0 Acations of Integration<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>6.1 Areas between Curves <br \/>6.2 Volumes <br \/>6.3 Volumes by Cylindrical Shells <br \/>6.5 Average Value of a Function<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u4e03\u7ae0 Techniques of Integration<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>7.1 Integration by Parts <br \/>7.2 Trigonometric Integrals <br \/>7.3 Trigonometric Substitution <br \/>7.4 Integration of Rational Functions by Partial Fractions <br \/>7.7 Approximate Integration <br \/>7.8 Improper Integrals<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\">\u7b2c\u516b\u7ae0 Further Applications of Integration<\/span><\/td><td style=\"text-align: left; padding: 5px;\" bgcolor=\"#f2f2ec\"><ul><li>8.1 Arc Length <br \/>8.2 Area of a Surface of Revolution <br \/>8.5 Probability<\/li><\/ul><\/td><\/tr><tr><td style=\"text-align: center;\"><span class=\"text\">\u7b2c\u5341\u7ae0 Parametric Equations and Polar Coordinates<\/span><\/td><td style=\"text-align: left; padding: 5px;\"><ul><li>10.1 Curves Defined by Parametric Equations <br \/>10.2 Calculus with Parametric Curves<\/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\">1-5 Exponential Functions <br \/>1-6 Inverse Functions and Logarithms<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch1-5-1-6.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">2-2 &amp; 2-3 Limit<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch2-2-2-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">2-4 Definition of the Limit<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch2-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">2-5 Continuity<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch2-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">2-6 Limit at Infinity &amp; Horizontal Asymtotes<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch2-6.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">2-7 Derivatives and Rates of Change<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch2-7.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">2-8 The Derivative As a Function<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch2-8.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">2-9 The Derivative As a Function<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch2-9.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">3-1 Derivatives of Polynomials and Exponential Functions<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch3-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">3-2 The Product and Quotient Rules<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch3-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">3-3 Derivatives of Trigonometric Functions<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch3-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">3-4 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\/ca022\/handout\/ca022_ch3-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">3-5 Implicit Differentiation<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch3-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">3-6 Derivatives of Logarithmic Functions<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch3-6.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">3-9 Related Rates<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch3-9.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">3-10 Linear Approximations and Differentials<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch3-10.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">4-1 Maximum and Minimum Values<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch4-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">4-2 The Mean Value Theorem<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch4-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">4-3 &amp; 4-5 1st and 2nd Derivatives and Curve Sketching<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch4-3-4-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">4-4 Indeterminate Form and L'Hospital's Rule<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch4-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">4-7 Optimization<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch4-7.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">4-9 Antiderivatives<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch4-9.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">5-1 Areas and Distances<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch5-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">5-2 The Definite Integral<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch5-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">5-3 The Fundamental Theorem of Calculus(TFTC)<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch5-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">5-4 Indefinite Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch5-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">5-5 The Substitution Rules<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch5-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">5-6 The Logarithm Defined as an Integral<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch5-6.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">6-1 Areas Between Curves<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch6-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">6-2 &amp; 6-3 Volumes by Cylindrical Shells<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch6-2-6-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">6-5 Average Value of a Function<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch6-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">7-1 Integration by Parts<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch7-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">7-2 Trigonometric Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch7-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">7-3 Trigonometric Substitution<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch7-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">7-4 Integration of Rational Function by Partial Fraction<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch7-4.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">7-7 Approximate Integration<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch7-7.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">7-8 Improper Integrals<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch7-8.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">8-1 Arc Length<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch8-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">8-2 Area of a Surface Revolution<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch8-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">8-3 Applications to Physics and Engineering<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch8-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">8-5 Probability<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch8-5.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">10-1 Curves Defined by Parametric Equation<\/span><\/td><td style=\"padding: 5px; text-align: center;\" bgcolor=\"#f2f2ec\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch10-1.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">10-2 Curves Defined by Parametric Equation<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch10-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">10-3 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\/ca022\/handout\/ca022_ch10-3.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">10-4 Area and Lengths in Polar Coordinates<\/span><\/td><td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca022\/handout\/ca022_ch10-4.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 elementor-widget-divider\" data-id=\"d7723a8\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div 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href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/school-of-law\" class=\"elementor-item\" tabindex=\"-1\">School of Law<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118069\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/school-of-nursing-2\" class=\"elementor-item\" tabindex=\"-1\">School of Nursing<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118071\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-photonics\" class=\"elementor-item\" tabindex=\"-1\">College of Photonics<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-125874\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-biomedical-science-and-engineering\" class=\"elementor-item\" tabindex=\"-1\">College of Biomedical Science and Engineering<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-132738\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-life-sciences-en\" class=\"elementor-item\" tabindex=\"-1\">College of Life Sciences<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-141797\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/colege-of-medicine-en\" class=\"elementor-item\" tabindex=\"-1\">College of Medicine<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118072\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/course-of-chinese-center\" class=\"elementor-item\" tabindex=\"-1\">Course of Chinese Center<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-120431\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/liberal-arts-college\" class=\"elementor-item\" tabindex=\"-1\">Forum Of Liberal Arts<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123746\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/speech-of-general-education-center\" class=\"elementor-item\" tabindex=\"-1\">Contemporary Civilization<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-128240\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/reading-of-classic-masterpiece\" class=\"elementor-item\" tabindex=\"-1\">Reading of Classic Masterpiece<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-123745\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/course-of-general-education-center-2\" class=\"elementor-item\" tabindex=\"-1\">Course of General Education Center<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\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\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Calculus I &#038;#8&hellip;<\/p>\n","protected":false},"featured_media":29269,"parent":5277,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":{"footnotes":""},"categories":[242],"tags":[341,345,347,1395,10159],"class_list":["post-29296","course_page","type-course_page","status-publish","format-standard","has-post-thumbnail","hentry","category-department-of-applied-mathematics-en","tag-label-all-course-en","tag-label-college-of-science-en","tag-label-am-en","tag-label-calculus-i-103-en","tag-label-pre-university-courses-en"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Calculus I - 103 Academic Year | 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