課程資訊

Calculus (general Mathematics) (a)(1)

108-1

MATH1201

201 101A1

08

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1081MATH1201_08

Office Hours

Calculus: Early Transcendentals 8th edition， 作者： James Stewart

(僅供參考)

 No. 項目 百分比 說明 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

 課程進度
 週次 日期 單元主題 第1週 9/11,9/13 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms 2.1 The Tangent and Velocity Problems 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 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 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 第5週 10/09,10/11 3.6 Derivatives of Logarithmic Functions 3.9 Related Rates 3.10 Linear Approximations and Differentials 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 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 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 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 第10週 11/13,11/15 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 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 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 第13週 12/04,12/06 8.1 Arc Length 8.2 Area of a Surface of Revolution 第14週 12/11,12/13 9.1 Modeling with Differential Equations 9.3 Separable Equations 9.5 Linear Equations 第15週 12/18,12/20 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 第16週 12/25,12/27 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates 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