課程資訊

Calculus (general Mathematics) (a)(1)

108-1

MATH1201

201 101A1

04

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1081MATH1201_04

Office Hours

http://niico.org/course-review/%E5%BE%AE%E7%A9%8D%E5%88%86%E7%94%B2/

https://webpageprodvm.ntu.edu.tw/calculus/cp.aspx?n=34461

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

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 35% 2. 期末考 35% 3. 作業WebWork、小考、平時表現 30%

 課程進度
 週次 日期 單元主題 第1週 9/09,9/11,9/13 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms 2.1 The Tangent and Velocity Problems 9/13(五)中秋節 第2週 9/16,9/18,9/20 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 第3週 9/23,9/25,9/27 2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function 第4週 9/30,10/02,10/04 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 10/5(六)補10/11(五)的課 第5週 10/07,10/09,10/11 3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic Functions 3.8 Exponential Growth and Decay (✽) 10/10(四)國慶紀念日 10/11(五)調整放假 第6週 10/14,10/16,10/18 3.9 Related Rates 3.10 Linear Approximations and Differentials 3.11 Hyperbolic Functions (✽) 4.1 Maximum and Minimum Values 第7週 10/21,10/23,10/25 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 第8週 10/28,10/30,11/01 4.5 Summary of Curve Sketching 4.7 Optimization Problems 4.9 Antiderivatives 期中考 11/2(六) 09:00~11:30 考試範圍 1.4~4.9(英文命題) 第9週 11/04,11/06,11/08 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10週 11/11,11/13,11/15 6.1 Areas Between Curves 6.2 Volume 6.3 Volumes by Cylindrical Shells 11/15(五)校慶停課一天 第11週 11/18,11/20,11/22 6.5 Average Value of a Function 7.1 Integration by Parts 7.2 Trigonometric Integrals 第12週 11/25,11/27,11/29 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 第13週 12/02,12/04,12/06 7.8 Improper Integrals 8.1 Arc Length 第14週 12/09,12/11,12/13 8.2 Area of a Surface of Revolution 9.1 Modeling with Differential Equations 第15週 12/16,12/18,12/20 9.3 Separable Equations 9.4 Models for Population Growth(✽) 第16週 12/23,12/25,12/27 9.5 Linear Equations 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 第17週 12/30,1/01,1/03 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates 1/1(三)開國紀念日 期末考1/4(六) 09:00~11:30 考試範圍 5.1~10.4+17.1~17.2(英文命題)