課程資訊

Calculus (general Mathematics) (a)(1)

106-1

MATH1201

201 101A1

11

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1061MATH1201_11

1. Functions and Models
2. Limits and Derivatives
3. Differentiation Rules
4. Applications of Differentiation

5. Integrals
6. Applications of Integration
7. Techniques of Integration
8. Further Applications of Integration
9. Differential Equations
10. Parametric Equations and Polar Coordinates

Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions.

Office Hours

James Stewart, Calculus Early Transcendentals, 8th edition

(僅供參考)

 No. 項目 百分比 說明 1. 小考 15% 暫定10/05、11/02、11/30、12/28習題課考試。 2. 作業 15% 使用Webwork，請至 http://webwork.math.ntu.edu.tw/webwork2 =>"1061MATH1201_11"=>使用自己的帳號密碼登入 3. 期中考 35% 期中考時間：11/6(一) 13:20~15:10 考試範圍 1.4~4.9 4. 期末考 35% 期末考時間：1/8(一) 13:20~15:10 考試範圍 5.1~10.6

 課程進度
 週次 日期 單元主題 第1週 9/11,9/14,9/15 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms 第2週 9/18,9/21,9/22 2.2 The Limit of a Function 2.4 The Precise Definition of a Limit 2.6 Limits at Infinity; Horizontal Asymptotes 第3週 9/25,9/28,9/29,9/30 2.3 Calculating Limits Using the Limit Laws 2.5 Continuity 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function 9/30(六)補10/9(一)的課 第4週 10/02,10/05,10/06 3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 10/5(四)習題課第一次小考 第5週 10/12,10/13 3.4 The Chain Rule 3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic Functions 3.8 Exponential Growth and Decay (も) 3.9 Related Rates (も) 10/9(一)雙十節調整放假 第6週 10/16,10/19,10/20 3.5 Implicit Differentiation 3.10 Linear Approximations and Differentials 4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem 第7週 10/23,10/26,10/27 4.3 How Derivatives Affect the Shape of a Graph 4.4 Indeterminate Forms and l'Hospital''s Rule 4.5 Summary of Curve Sketching 第8週 10/30,11/02,11/03 4.7 Optimization Problems 11/2(四)習題課第二次小考 第9週 11/06,11/09,11/10 期中考 11/6(一) 13:20~15:10 考試範圍 1.4~4.9(英文命題) 檢討期中考卷。 3.11 Hyperbolic Functions (も) 第10週 11/13,11/16,11/17 5.1 Areas and Distances 5.2 The Definite Integral 5.3 The Fundamental Theorem of Calculus 5.4 Indefinite Integrals and the Net Change Theorem 5.5 The Substitution Rule 第11週 11/20,11/23,11/24 7.1 Integration by Parts 7.2 Trigonometric Integrals 第12週 11/27,11/30,12/01 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.8 Improper Integrals 第13週 12/04,12/07,12/08 6.1 Areas Between Curves 6.2 Volume 6.3 Volumes by Cylindrical Shells 6.5 Average Value of a Function 12/7(四)習題課第三次小考 第14週 12/11,12/14,12/15 8.1 Arc Length 8.2 Area of a Surface of Revolution 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 第15週 12/18,12/21,12/22 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates 8.3 Applications to Physics and Engineering 第16週 12/25,12/28,12/29 9.1 Modeling with Differential Equations 9.3 Separable Equations 9.4 Models for Population Growth (も) 9.5 Linear Equations 12/28(四)習題課第四次小考 第17週 1/04,1/05 Review 1/1(一)元旦放假 期末考1/8(一) 13:20~15:10 考試範圍 5.1~10.4(英文命題)