{"id":29742,"date":"2023-11-14T09:50:00","date_gmt":"2023-11-14T01:50:00","guid":{"rendered":"https:\/\/ocw.nycu.edu.tw\/?post_type=course_page&#038;p=29742"},"modified":"2025-07-09T14:42:34","modified_gmt":"2025-07-09T06:42:34","slug":"calculus-i-academic-year-109-department-of-applied-mathematics-prof-cheng-fang-su","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-academic-year-109-department-of-applied-mathematics-prof-cheng-fang-su","title":{"rendered":"Calculus I (A) Academic Year 109 | Department of Applied Mathematics Prof. Cheng-Fang Su"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"29742\" class=\"elementor elementor-29742\">\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 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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_8514\" 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 (A) -  Academic Year 109<\/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\">Course Homepage<\/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\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M336.2 64H47.8C21.4 64 0 85.4 0 111.8v288.4C0 426.6 21.4 448 47.8 448h288.4c26.4 0 47.8-21.4 47.8-47.8V111.8c0-26.4-21.4-47.8-47.8-47.8zm189.4 37.7L416 177.3v157.4l109.6 75.5c21.2 14.6 50.4-.3 50.4-25.8V127.5c0-25.4-29.1-40.4-50.4-25.8z\"><\/path><\/svg>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">Course Video<\/span>                            \n                                                    <\/li>\n                                            <li id=\"syllabus\" class=\"inactive eael-tab-item-trigger\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"syllabus-tab\" aria-expanded=\"false\">\n                            \n                                                                <svg class=\"e-font-icon-svg e-fas-clipboard-list\" viewBox=\"0 0 384 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M336 64h-80c0-35.3-28.7-64-64-64s-64 28.7-64 64H48C21.5 64 0 85.5 0 112v352c0 26.5 21.5 48 48 48h288c26.5 0 48-21.5 48-48V112c0-26.5-21.5-48-48-48zM96 424c-13.3 0-24-10.7-24-24s10.7-24 24-24 24 10.7 24 24-10.7 24-24 24zm0-96c-13.3 0-24-10.7-24-24s10.7-24 24-24 24 10.7 24 24-10.7 24-24 24zm0-96c-13.3 0-24-10.7-24-24s10.7-24 24-24 24 10.7 24 24-10.7 24-24 24zm96-192c13.3 0 24 10.7 24 24s-10.7 24-24 24-24-10.7-24-24 10.7-24 24-24zm128 368c0 4.4-3.6 8-8 8H168c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16zm0-96c0 4.4-3.6 8-8 8H168c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16zm0-96c0 4.4-3.6 8-8 8H168c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16z\"><\/path><\/svg>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">Course Syllabus<\/span>                            \n                                                    <\/li>\n                                            <li id=\"notes\" class=\"inactive eael-tab-item-trigger\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"notes-tab\" aria-expanded=\"false\">\n                            \n                                                                <svg class=\"e-font-icon-svg e-fas-clipboard-list\" viewBox=\"0 0 384 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M336 64h-80c0-35.3-28.7-64-64-64s-64 28.7-64 64H48C21.5 64 0 85.5 0 112v352c0 26.5 21.5 48 48 48h288c26.5 0 48-21.5 48-48V112c0-26.5-21.5-48-48-48zM96 424c-13.3 0-24-10.7-24-24s10.7-24 24-24 24 10.7 24 24-10.7 24-24 24zm0-96c-13.3 0-24-10.7-24-24s10.7-24 24-24 24 10.7 24 24-10.7 24-24 24zm0-96c-13.3 0-24-10.7-24-24s10.7-24 24-24 24 10.7 24 24-10.7 24-24 24zm96-192c13.3 0 24 10.7 24 24s-10.7 24-24 24-24-10.7-24-24 10.7-24 24-24zm128 368c0 4.4-3.6 8-8 8H168c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16zm0-96c0 4.4-3.6 8-8 8H168c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16zm0-96c0 4.4-3.6 8-8 8H168c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16z\"><\/path><\/svg>                                                            \n                                                            <span class=\"eael-tab-title  title-after-icon\">Learning Notes<\/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;\">This course is provided by the <a href=\"https:\/\/www.math.nycu.edu.tw\/\" target=\"_blank\" rel=\"noopener\">\u00a0NYCU Department of Applied Mathematics .<\/a><\/p><p class=\"text\">Calculus is a fundamental tool in various fields such as physics, biology, statistics, astronomy, economics, computer science, and financial engineering. It also serves as a prerequisite for many courses, such as engineering mathematics, differential equations, statistics, and financial mathematics.<br \/>The course of Calculus I (A) primarily focuses on single-variable functions, covering both differential and integral calculus. The content includes topics such as limits and continuity of functions, differential theory in calculus, as well as definite and indefinite integrals and their related applications. The goal is to provide students with a solid understanding of single-variable calculus, preparing them for the more advanced topics in Calculus I (B), which involve vector-valued functions and multivariable calculus.<\/p><p><span style=\"color: #3366ff; font-size: 16px;\">Textbook\uff1a<\/span><\/p><p><span style=\"font-size: 16px;\">Stewart, James. <em>Calculus: Early Transcendentals<\/em>., 8th ed. Cengage Learning, 2015.<\/span><\/p><p><span style=\"color: #ff00ff;\">For perfect learning results, please buy textbooks!<\/span><\/p><table style=\"color: #101010; font-family: \u5fae\u8edf\u6b63\u9ed1\u9ad4, Arial; font-size: 16px;\" border=\"1\"><tbody><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\" width=\"100\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Instructor(s)<\/span><\/span><\/th><td bgcolor=\"#EEEEEE\" width=\"518\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0Department of Applied Mathematics Prof. Cheng-Fang Su<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Course Credits<\/span><\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a04 Credits<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th class=\"text\" style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Academic Year<\/span><\/span><\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0109 Academic Year<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Level<\/span><\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0Undergraduate Student<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"font-weight: 400; white-space: normal;\">Prior Knowledge<\/span><\/span><\/th><td class=\"text\" bgcolor=\"#EEEEEE\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0High school mathematics<\/span><\/span><\/span><\/span><\/td><\/tr><tr><th style=\"text-align: center;\" nowrap=\"nowrap\" bgcolor=\"#FFF3DB\"><span style=\"color: #313131; font-family: PT Serif, serif;\">Related Resources<\/span><\/th><td class=\"text\"><span style=\"color: #313131; font-family: PT Serif, serif;\"><span style=\"color: #313131; font-family: PT Serif, serif;\">\u00a0<a href=\"#video\">Course Video<\/a>\u00a0 \u00a0 <a href=\"#syllabus\">Course Syllabus\u00a0\u00a0<\/a> <a href=\"#notes\">Learning Notes<\/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-81\" class=\"tablepress tablepress-id-81\">\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\">Syllabus and Teaching Philosophy<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=29758&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\">Preliminaries and Notations<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35463\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 1 Limits and Derivatives<br \/>\n1.1 Limits of Sequences<br \/>\n1.2 Limits of Functions <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35469\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">1.2 Limits of Functions<br \/>\n1.3 Evaluating Limits Analytically<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35475\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">1.3 Evaluating Limits Analytically<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35481\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-7 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">1.4 Continuous Functions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35487\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-8 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">1.5 Limits at infinity; Asymptotes<br \/>\n1.6 Differentiation <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35493\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-9 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">1.6 Differentiation<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35499\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-10 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">1.6 Differentiation<br \/>\n<br \/>\nChapter 2 Rules of Differentiation<br \/>\n2.1 Rules of Differentiation<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35505\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-11 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">2.1 Rules of Differentiation<br \/>\n2.2 Chain Rule<br \/>\n2.3 Implicit Differentiation<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35511\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-12 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">2.3 Implicit Differentiation<br \/>\n2.4 The Differentiation of the Inverse Functions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35517\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-13 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">2.4 The Differentiation of the Inverse Functions<br \/>\n2.5 Differential and Linear Approximation<br \/>\n<br \/>\nChapter 3 Applications of Differentiation<br \/>\n3.1 Extreme Values on an Interval <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35523\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-14 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.1 Extreme Values on an Interval<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35529\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-15 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.2 The First Derivative Test<br \/>\n3.3 Concavity and the Second Derivative Test<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35535\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-16 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.3 Concavity and the Second Derivative Test<br \/>\n3.4 Summary of Curve Sketching <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35541\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-17 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.4 Summary of Curve Sketching<br \/>\n3.5 Rolle\u2019s Theorem and the Mean Value Theorem<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35547\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-18 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.5 Rolle\u2019s Theorem and the Mean Value Theorem<br \/>\n3.6 Indeterminate Forms and L'Hospital\u2019s Rule<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35553\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-19 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">3.6 Indeterminate Forms and L'Hospital\u2019s Rule<br \/>\n3.7 Antiderivative<br \/>\n4.4 Indefinite Integrals<br \/>\n<br \/>\nChapter 5 Techniques of Integrals<br \/>\n(1)The Substitution Rule <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35559\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-20 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 5 Techniques of Integrals<br \/>\n(1)The Substitution Rule<br \/>\n(2) Integration by Parts<br \/>\n(3) Trigonometric Integrals I <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35567\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-21 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 5 Techniques of Integrals<br \/>\nReview of (1)-(3)<br \/>\n(4) Trigonometric Integrals II<br \/>\n(5) Trigonometric Substitution<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35575\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-22 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 5 Techniques of Integrals<br \/>\n(5) Trigonometric Substitution<br \/>\n(6) Half-Angle Substitution<br \/>\n(7) Integration of Rational Functions by Partial Fractions<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35581\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-23 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 5 Techniques of Integrals <br \/>\n(7) Integration of Rational Functions by Partial Fractions <\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35587\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-24 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 4 Integration<br \/>\n4.1 Area<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35593\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-25 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">4.1 Area<br \/>\n4.2 Properties of Integrals<br \/>\n4.3 Fundamental Theorem of Calculus<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35599\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-26 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 5 Techniques of Integrals<br \/>\n(8) Improper Integrals<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35607\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-27 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 6 Applications of Integration<br \/>\n6.1 Area of a Region Between Two Curves<br \/>\n6.2 Volume<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35613\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-28 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">6.2 Volume <br \/>\n6.3 Arc Length<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35619\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-29 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">7.1 Curves Defined by Parametric Equations<br \/>\n7.2 Calculus with Parametric Curves<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35625\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-30 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">7.3 Polar Coordinates<br \/>\n7.4 Calculus with Parametric Curves<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35631\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-31 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Polar Curves<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35637\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-32 even\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Review<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35645\">Watch Online<\/a><\/td>\n<\/tr>\n<tr class=\"row-33 odd\">\n\t<td class=\"column-1\"><\/td><td class=\"column-2\">Chapter 9 Vector and the Geometry of Space<br \/>\n9.1 Vectors in the Plane<br \/>\n9.2 Vectors in Space<br \/>\n9.3 The Dot Product of Two Vectors in Space<\/td><td class=\"column-3\"><a href=\"\/?post_type=course_page&amp;p=35651\">Watch Online<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-81 from cache --><\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"syllabus-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"syllabus-tab\">\n\t\t\t\t        \t\t\t\t\t        <p class=\"title\"><strong>\u8ab2\u7a0b\u76ee\u6a19<\/strong><\/p><p class=\"text\">\u5fae\u7a4d\u5206\u5728\u7269\u7406\u5b78\u3001\u751f\u7269\u5b78\u3001\u7d71\u8a08\u5b78\u3001\u5929\u6587\u5b78\u3001\u7d93\u6fdf\u5b78\u3001\u8cc7\u8a0a\u79d1\u5b78\u8207\u8ca1\u52d9\u5de5\u7a0b\u7b49\u9818\u57df\u90fd\u662f\u76f8\u7576\u91cd\u8981\u7684\u57fa\u790e\u5de5\u5177\uff0c\u5b83\u540c\u6642\u4e5f\u662f\u8a31\u591a\u8ab2\u7a0b\u7684\u5148\u5099\u77e5\u8b58\uff0c\u4f8b\u5982\u5de5\u7a0b\u6578\u5b78\u3001\u5fae\u5206\u65b9\u7a0b\u3001\u7d71\u8a08\u5b78\u8207\u91d1\u878d\u6578\u5b78\u3002 <br \/>\u800c\u5fae\u7a4d\u5206\u7532\uff08\u4e00\uff09\u7684\u8ab2\u7a0b\u4e3b\u8981\u5148\u5f9e\u55ae\u8b8a\u6578\u51fd\u6578\u7684\u89c0\u9ede\u51fa\u767c\uff0c\u8b1b\u8ff0\u55ae\u8b8a\u6578\u51fd\u6578\u7684\u5fae\u5206\u5b78\u8207\u7a4d\u5206\u5b78\uff0c\u5167\u5bb9\u5927\u81f4\u6709\u5fae\u5206\u5b78\u4e2d\u7684\u51fd\u6578\u7684\u6975\u9650\u3001\u9023\u7e8c\u6027\u3001\u5fae\u5206\u7406\u8ad6\uff0c\u8207\u7a4d\u5206\u5b78\u4e2d\u7684\u5b9a\u7a4d\u5206\u3001\u4e0d\u5b9a\u7a4d\u5206\u8207\u5176\u76f8\u95dc\u7684\u61c9\u7528\uff0c\u5148\u8b93\u540c\u5b78\u5c0d\u55ae\u8b8a\u6578\u51fd\u6578\u7684\u5fae\u7a4d\u5206\u6709\u4e00\u5b9a\u7a0b\u5ea6\u7684\u638c\u63e1\u8207\u7406\u89e3\uff0c\u4ee5\u4fbf\u826f\u597d\u5730\u929c\u63a5\u5fae\u7a4d\u5206\u7532\uff08\u4e8c\uff09\u4e2d\u5411\u91cf\u503c\u51fd\u6578\u8207\u591a\u8b8a\u6578\u51fd\u6578\u76f8\u95dc\u7406\u8ad6\u7684\u5b78\u7fd2\u3002\u3002<\/p><p class=\"title\"><strong>\u8ab2\u7a0b\u7ae0\u7bc0<\/strong><\/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\">Chapter 1 Limits and Derivatives<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">1.1 Limits of Sequences <br \/>1.2 Limits of Functions <br \/>1.3 Evaluating Limits Analytically <br \/>1.4 Continuous Functions <br \/>1.5 Limits at infinity; Asymptotes <br \/>1.6 Differentiation<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Chapter 2 Rules of Differentiation<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">2.1 Rules of Differentiation <br \/>2.2 Chain Rule <br \/>2.3 Implicit Differentiation <br \/>2.4 The Differentiation of the Inverse Functions <br \/>2.5 Differential and Linear Approximation<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\"> Chapter 3 Applications of Differentiation<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">3.1 Extreme Values on an Interval <br \/>3.2 The First Derivative Test <br \/>3.3 Concavity and the Second Derivative Test <br \/>3.4 Summary of Curve Sketching <br \/>3.5 Rolle\u2019s Theorem and the Mean Value Theorem <br \/>3.6 Indeterminate Forms and L'Hospital\u2019s Rule <br \/>3.7 Antiderivative<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Chapter 4 Integration<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">4.4 Indefinite Integrals<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">Chapter 5 Techniques of Integrals<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">5.1 The Substitution Rule <br \/>5.2 Integration by Parts <br \/>5.3 Trigonometric Integrals I <br \/>5.4 Trigonometric Integrals II <br \/>5.5 Trigonometric Substitution <br \/>5.6 Half-Angle Substitution <br \/>5.7 Integration of Rational Functions by Partial Fractions<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Chapter 4 Integration<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">4.1 Area <br \/>4.2 Properties of Integrals <br \/>4.3 Fundamental Theorem of Calculus<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">Chapter 5 Techniques of Integrals<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">5.8 Improper Integrals<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Chapter 6 Applications of Integration<\/span><\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">6.1 Area of a Region Between Two Curves <br \/>6.2 Volume <br \/>6.3 Arc Length<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\"><span class=\"text\">Chapter 7<\/span><\/td><td style=\"padding: 5px;\"><span class=\"text\">7.1 Curves Defined by Parametric Equations <br \/>7.2 Calculus with Parametric Curves <br \/>7.3 Polar Coordinates <br \/>7.4 Calculus with Parametric Curves<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\">\u00a0<\/td><td style=\"padding: 5px;\" bgcolor=\"#f2f2ec\"><span class=\"text\">Polar Curves<\/span><\/td><\/tr><tr><td style=\"padding: 5px;\">\u00a0<\/td><td style=\"padding: 5px;\"><span class=\"text\">\u4e0a\u5b78\u671f\u7e3d\u8907\u7fd2\u5f71\u7247<\/span><\/td><\/tr><\/tbody><\/table><p class=\"title\"><strong>\u8ab2\u7a0b\u66f8\u76ee<\/strong><\/p><p class=\"text\">Stewart,\u00a0James.\u00a0<em>Calculus: Early Transcendentals<\/em>., 8th ed. Cengage Learning, 2015.<\/p>\t\t\t\t                            <\/div>\n\t\t        \n                    <div id=\"notes-tab\" class=\"clearfix eael-tab-content-item inactive\" data-title-link=\"notes-tab\">\n\t\t\t\t        \t\t\t\t\t        <strong class=\"title\">\u5b78\u7fd2\u7b46\u8a18 Learning Notes<\/strong>\n<table border=\"1\" width=\"98% cellspacing=\">\n<tbody>\n<tr class=\"stitle\">\n<td colspan=\"2\" bgcolor=\"#e4d8b0\"><strong> \u5b78\u7fd2\u7b46\u8a18-\u7531\u5149\u96fb\u5de5\u7a0b\u5b78\u7cfb\u9673\u555f\u99bc\u540c\u5b78\u63d0\u4f9b<\/strong><\/td>\n<\/tr>\n<tr class=\"stitle\">\n<td bgcolor=\"#e4d8b0\"><strong>Chapter<\/strong><\/td>\n<td bgcolor=\"#e4d8b0\"><strong>Download Link<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">1. \u55ae\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u6975\u9650\u8207\u9023\u7e8c<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes01.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr bgcolor=\"#EEEEEE\">\n<td style=\"padding: 5px;\"><span class=\"text\">2. \u55ae\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u5c0e\u6578\uff08\u6982\u5ff5\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes01.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">3. \u55ae\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u5c0e\u6578\uff08\u61c9\u7528\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes03.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr bgcolor=\"#EEEEEE\">\n<td style=\"padding: 5px;\"><span class=\"text\">4.\u00a0\u55ae\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u7a4d\u5206\uff08\u6982\u5ff5\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes04.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">5. \u55ae\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u7a4d\u5206\uff08\u6280\u5de7\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes05.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr bgcolor=\"#EEEEEE\">\n<td style=\"padding: 5px;\"><span class=\"text\">6. \u55ae\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u7455\u7a4d\u5206<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes06.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">7. \u55ae\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u7a4d\u5206\uff08\u61c9\u7528\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes07.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">8. \u53c3\u6578\u65b9\u7a0b\u5f0f<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes08.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr bgcolor=\"#EEEEEE\">\n<td style=\"padding: 5px;\"><span class=\"text\">9. \u6578\u5217\u8207\u7d1a\u6578<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes09.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">10. \u55ae\u8b8a\u6578\u5411\u91cf\u51fd\u6578\uff08\u6982\u5ff5\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes10.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr bgcolor=\"#EEEEEE\">\n<td style=\"padding: 5px;\"><span class=\"text\">11. \u55ae\u8b8a\u6578\u5411\u91cf\u51fd\u6578\uff08\u61c9\u7528\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes11.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">12. \u591a\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u6975\u9650\u8207\u9023\u7e8c<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes12.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr bgcolor=\"#EEEEEE\">\n<td style=\"padding: 5px;\"><span class=\"text\">13. \u591a\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u504f\u5c0e\u6578\uff08\u6982\u5ff5\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes13.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">14. \u591a\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u504f\u5c0e\u6578\uff08\u61c9\u7528\u7bc7\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes14.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr bgcolor=\"#EEEEEE\">\n<td style=\"padding: 5px;\"><span class=\"text\">15. \u591a\u8b8a\u6578\u7d14\u91cf\u51fd\u6578\u2014\u91cd\u7a4d\u5206<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes15.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"padding: 5px;\"><span class=\"text\">16. \u7b46\u8a18\uff08\u5168\uff09<\/span><\/td>\n<td style=\"padding: 5px; text-align: center;\"><span class=\"text\"><a href=\"https:\/\/video.ocw.nycu.edu.tw\/pub\/ca091\/ca091ca092_studynotes16.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\t\t\t\t                            <\/div>\n\t\t                    <\/div>\n        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href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-computer-science\" class=\"elementor-item\" tabindex=\"-1\">College of Computer Science<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-5374\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-biological-science-and-technology\" class=\"elementor-item\" tabindex=\"-1\">College of Engineering Bioscience<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-5379\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-humanities-and-social-sciences\" class=\"elementor-item\" tabindex=\"-1\">College of Humanities Arts and Social Sciences<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-5378\"><a href=\"https:\/\/ocw.nycu.edu.tw\/?course_page=all-course-2\/college-of-hakka-affair-culture\" class=\"elementor-item\" tabindex=\"-1\">College of Hakka Affair Culture<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-course_page ajax-mega-menu menu-item-118070\"><a 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 (A)&hellip;<\/p>\n","protected":false},"featured_media":29730,"parent":5277,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":{"footnotes":""},"categories":[242],"tags":[341,345,347,1469,10159],"class_list":["post-29742","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-a-109-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 (A) Academic Year 109 | Department of Applied Mathematics Prof. Cheng-Fang Su - NYCU OCW<\/title>\n<meta name=\"description\" content=\"Calculus I (A) - Academic Year 109 Course Homepage Course Video Course Syllabus Learning Notes This course is provided by the \u00a0NYCU Department 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