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課程名稱 |
微積分1
CALCULUS (1) |
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開課學期 |
108-1 |
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授課對象 |
物理學系 |
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授課教師 |
陳榮凱 |
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課號 |
MATH4006 |
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課程識別碼 |
201 49810 |
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班次 |
01 |
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學分 |
2.0 |
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全/半年 |
半年 |
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必/選修 |
必帶 |
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上課時間 |
第1,2,3,4,5,6,7,8,9 週
星期一10(17:30~18:20)星期二6,7(13:20~15:10)星期四8,9(15:30~17:20) |
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上課地點 |
新303新303新303 |
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備註 |
密集課程。統一教學.一10為實習課.本班次的同學，將直接帶入此班的微積分2.可自行退選微積分2.
限本系所學生(含輔系、雙修生)
總人數上限：80人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1081Calculus_m101 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
We will introduce the basic but interesting concepts of mathematics, by using calculus and possibly something more. |
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課程目標 |
We expect the students will obtain good taste of mathematics as well as good command of differential and integral calculus. |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
Stewart, Calculus: Early Transcendentals 第八版 |
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參考書目 |
Courant and John, Introduction to Calculus and Analysis, vol I, II |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
9/09,9/10,9/12 |
1.4 Exponential Functions
1.5 Inverse Functions and Logarithms
2.1 The Tangent and Velocity Problems |
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Week 2 |
9/16,9/17,9/19 |
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.4 The Precise Definition of a Limit |
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Week 3 |
9/23,9/24,9/26 |
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
【09/23｜Quiz 1】 |
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Week 4 |
9/30,10/01,10/03 |
3.1 Derivatives of Polynomials and Exponential Functions
3.2 The Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule |
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Week 5 |
10/07,10/08,10/10 |
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.8 Exponential Growth and Decay (✽)
【10/07｜Quiz 2】 |
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Week 6 |
10/14,10/15,10/17 |
3.9 Related Rates
3.10 Linear Approximations and Differentials
3.11 Hyperbolic Functions (✽)
4.1 Maximum and Minimum Values |
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Week 7 |
10/21,10/22,10/24 |
4.2 The Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Indeterminate Forms and l'Hospital's Rule
【10/21｜Quiz 3】 |
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Week 8 |
10/28,10/29,10/31 |
4.5 Summary of Curve Sketching
4.7 Optimization Problems
4.9 Antiderivatives |
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Week 9 |
11/04,11/05,11/07 |
【期中考】
1. 時間：11/02(六)，09:00~11:30
2. 考試地點：新生 103
3. 考試範圍：1.4~4.9(英文命題) |
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