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課程簡介 Course Introduction
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開課年度學期 Year / Term
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114 學年度 第 1 學期
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開課班級 Department
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綠色能源科技學系 綠能一
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授課方式 Instructional Method
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課堂教學 、 中文
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課程電腦代號 Course Reference Number
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183008
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課程名稱(中文) Course Title(Chinese)
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微積分(一)
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課程名稱(英文) Course Title(English)
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Calculus(Ⅰ)
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學分數/時數 Credit Hours
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3 /
3
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必(選)修 Requirement / Elective Course
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必修
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授課老師 Instructor
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黃建中
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助教 Teaching Assistant
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謝定紘
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上課時間 Meeting Time
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星期三，節次3、4、5
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上課教室 Classroom
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C305
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Office Hours
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黃建中：1335/62B6
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| 獲獎及補助情形 Awards and Grants |
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| 聯合國永續發展目標 (SDGs跨域類別) Sustainable Development Goals, SDGs |
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課程目標 Learning Objectives
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（一）教學目標：
1.能利用定義法瞭解與處理極限相關概念。
2.能發展實用工具以有效率簡化各函數(Xn,Trigonometry, ax , Logx)的微分、積分公式。
3.能應用微分、積分相關性質解決實務問題 (近似值、周長、面積、旋轉體體積、旋轉體表面積…
等問題) 。
（二）教材大綱：
Limits and their properties/ Differentiation/ Application of Differentiation/
Integration/ Logarithmic, Exponential, other Transcendental functions/
Application of integration/ Integration Techniques/ Infinite series…
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先修 ( 前置 ) 課程 Prerequisite
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講述法與建構教學法並用以連繫高中數學相關課程，理論與實用並重，從實例出發配合高中數學的舊經驗怖題，在討論的數學環境中深入了解微積分的內涵，俾使培養完整推理能力，建立正確數學概念。
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| 彈性教學規劃 Flexible Teaching/Planning Schedules |
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課程大綱 Course Syllabus
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| 週次 Week |
課程單元大綱 Unit |
教學方式 Instructional Method/Style/Teaching Style |
參考資料或相關作業 References or Related Materials |
評量方式 Grading |
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1
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Preparation for Calculus - functions
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lecture 125
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function homework
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quiz
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2
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Limits- definition/ properties
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lecture, discuss 125
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homework
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no
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3
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High-order definition
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lecture, discuss 125
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homework
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no
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4
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Continuity and one-sided limits
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lecture, discuss 125
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homework
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no
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5
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Limits at Infinity
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lecture 125
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homework
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no
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6
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Definition of Differentiation
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lecture 125
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homework
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quiz
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7
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Properties of Differentiation
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lecture 125
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homework
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quiz
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8
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Extrema/ Rolle’s Thm
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lecture 125
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homework
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class quiz
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9
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Mid-term Exam
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exam
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10
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Discussion/ Mean value Thm
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lecture, discuss 125
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homework
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correction
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11
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Cauchy Thm/ L’Hopital Thm/ Application
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lecture, discuss 125
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homework
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class quiz
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12
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F’/f”/ A summary of curve sketching
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lecture, discuss 125
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homework
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class discussion
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13
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Optimization problems/ Newton’s method
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lecture 125
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homework
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class discussion
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14
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Differentials/ Antiderivatives
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lecture 125
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homework
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quiz
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15
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Antiderivatives/ Indefinite integration
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lecture 125
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homework
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quiz
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16
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Riemann sums/ Definite integration
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lecture 125
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homework
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quiz
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17
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Fundamental Thms/ u-sub Integration
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lecture 125
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homework
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quiz
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18
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Final exam
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exam
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單一課程對應校能力指標程度 The Degree to Which Single Course Corresponds to School Competence
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| 編號 No. |
校核心能力 School Core Competencies |
符合程度 Degree of conformity |
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1
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公民力 (Citizen)
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5
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2
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自學力 (Self-learning)
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5
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3
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資訊力 (Information)
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5
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4
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創造力 (Creativity)
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5
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5
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溝通力 (Communication)
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5
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6
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就業力(Employability)
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5
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單一課程對應系能力指標程度 The Degree to Which Single Course Corresponds to Department Competence
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| 編號 No. |
類別 Category |
系核心能力 Department Core Competencies |
符合程度 Degree of conformity |
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01
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系所
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具備運用數學、科學及綠色能源知識之能力
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5
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02
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系所
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擁有分析統計與解釋實驗結果或數據之能力
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5
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03
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系所
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運用所學知識，設計與執行實驗之能力
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5
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04
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系所
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具有會議簡報及專業中英文之能力
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5
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05
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系所
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具備有效溝通與團隊合作之能力
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5
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06
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系所
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具備理解專業及社會義務與責任
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5
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單一課程對應院能力指標程度 The Degree to Which Single Course Corresponds to College Competence
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| 編號 No. |
院核心能力 College Core Competencies |
符合程度 Degree of conformity |
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1
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語文能力
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5
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2
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自主學習的能力
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5
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3
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應用科技的能力
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5
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4
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環境與生態專業知能
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5
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教科書或參考用書 Textbooks or Reference Books
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館藏書名 Library Books
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備註 Remarks
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1.Briggs, W., Cochran, L., Gillett, B. Calculus (2nd ed.)MA: Addison-Wesley, Pearson Education,
Inc. 2015
2. Stewart, J. Calculus (8nd edition), Cengage Learning 2016
3. Larson, R. & Edwards, B. H. Calculus (10th edition)Belmont, CA: Brooks/Cole,
Cengage Learning 2014
4. Hass, J.,Weir,M.D.,& Thomas, G.B.Jr. University Calculus (2nd edition)
Boston, MA: Addison-Wesley, Pearson Education, Inc. 2007, 2012
5. Faires, J. D. et al Calculus (2nd Edition) New York: McGraw-Hill 1992
6. 莊紹容、楊經松 微積分 台北市:東華書局 2003
7. Rogawski,J. Calculus(2nd edition) NY:W.H.Freeman and Company 2012
8. Stew J., Clegg, D., Watson, S. Calculus (9th Metric version), Cengage Learning 2020
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※請尊重智慧財產權，不得非法影印教科書※
※ Please respect intellectual property rights and do not illegally photocopy textbooks. ※
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教學方法 Teaching Method
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教學方法 Teaching Method
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百分比 Percentage
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講述
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70 %
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討論
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10 %
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問題導向學習
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10 %
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專題實作
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10 %
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| 總和 Total |
100 % |
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成績評量方式 Grading
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| 評量方式 Grading |
百分比 Percentage |
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隨堂考
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10 %
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期中考
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40 %
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期末考
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40 %
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作業撰寫
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10 %
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| 總和 Total |
100 % |
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成績評量方式補充說明
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Note:
1, 本課程因考量COVID疫情因素，統一使用Cengage數位學習平台系統，欲選讀本門課之同學須購買Cengage
平台。開學後，將聯繫代理商統一購買。數位學習平台http://Cengage.com.
2, 作業撰寫部分包含出席率.
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課程大綱補充資料 Supplementary Material of Course Syllabus
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