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課程名稱 |
微積分甲上
Calculus (general Mathematics) (a)(1) |
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開課學期 |
108-1 |
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授課對象 |
醫學工程學系 |
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授課教師 |
黃秀戀 |
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課號 |
MATH1201 |
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課程識別碼 |
201 101A1 |
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班次 |
08 |
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學分 |
4.0 |
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全/半年 |
全年 |
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必/選修 |
必修 |
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上課時間 |
星期三8,9,10(15:30~18:20)星期五1,2(8:10~10:00) |
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上課地點 |
新303新303 |
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備註 |
統一教學.大二以上限20人.三10為實習課.
限本系所學生(含輔系、雙修生)
總人數上限：105人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1081MATH1201_08 |
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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 |
待補 |
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課程目標 |
待補 |
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課程要求 |
待補 |
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預期每週課後學習時數 |
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Office Hours |
另約時間 備註： <br>
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參考書目 |
待補 |
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指定閱讀 |
Calculus: Early Transcendentals 8th edition， 作者： James Stewart |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
紙本作業 |
5% |
總共12次作業，在學期第3週開始繳交，每星期五收 |
2. |
Webwork |
5% |
線上答題，見布告欄說明 |
3. |
期中考 |
35% |
11/2(六) 09:00~11:30 考試範圍 1.4~4.9 |
4. |
期末考 |
35% |
1/4(六) 09:00~11:30 考試範圍 5.1~10.4 |
5. |
小考 |
20% |
9次取7次，分別在學期第3, 5, 6, 7, 11, 12, 13, 15, 16週星期三演習課考 |
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週次 |
日期 |
單元主題 |
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第1週 |
9/11,9/13 |
1.4 Exponential Functions
1.5 Inverse Functions and Logarithms
2.1 The Tangent and Velocity Problems |
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第2週 |
9/18,9/20 |
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.4 The Precise Definition of a Limit
2.5 Continuity |
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第3週 |
9/25,9/27 |
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
3.1 Derivatives of Polynomials and Exponential Functions |
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第4週 |
10/02,10/04 |
3.2 The Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation |
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第5週 |
10/09,10/11 |
3.6 Derivatives of Logarithmic Functions
3.9 Related Rates
3.10 Linear Approximations and Differentials |
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第6週 |
10/16,10/18 |
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 How Derivates Affect the Shape of a Graph
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第7週 |
10/23,10/25 |
4.4 Indeterminate Forms and l'Hospital's Rule
4.5 Summary of Curve Sketching
4.7 Optimization Problems
4.9 Antiderivatives |
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第8週 |
10/30,11/01 |
複習
期中考11/2(六)09:00~11:30考試範圍1.4~4.9 |
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第9週 |
11/06,11/08 |
5.1 Areas and Distances
5.2 The Definition of Integrals
5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change Theorem
5.5 The Substitution Rule |
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第10週 |
11/13,11/15 |
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution |
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第11週 |
11/20,11/22 |
7.4 Integration of Rational Function by Partial Fractions
7.5 Strategy for Integration
7.8 Improper Integrals |
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第12週 |
11/27,11/29 |
6.1 Areas Between Curves
6.2 Volumes
6.3 Volumes by Cylindrical Shells
6.5 Average Value of a Function |
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第13週 |
12/04,12/06 |
8.1 Arc Length
8.2 Area of a Surface of Revolution |
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第14週 |
12/11,12/13 |
9.1 Modeling with Differential Equations
9.3 Separable Equations
9.5 Linear Equations |
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第15週 |
12/18,12/20 |
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves |
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第16週 |
12/25,12/27 |
10.3 Polar Coordinates
10.4 Areas and Lengths in Polar Coordinates |
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第17週 |
1/01,1/03 |
複習
期末考1/4(六)09:00~11:30考試範圍5.1~10.4 |
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