課程資訊

Calculus (general Mathematics) (a)(1)

107-1

MATH1201

201 101A1

08

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1071MATH1201_08

(1) 瞭解極限的定義與基本性質。
(2) 瞭解連續的定義與基本性質。
(3) 瞭解單變數函數的導數及其應用。
(4) 瞭解單變數函數的積分與基本性質。

Office Hours

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

(僅供參考)

 No. 項目 百分比 說明 1. 平常 30% 15%小考＋7.5%webwork+7.5%手寫作業 2. 期中考 35% 11/3（六）9：00 ～11：30 考試範圍：1.4～4.9 3. 期末考 35% 1/5（六）9：00 ～11：30 考試範圍：5.1～10.4

 課程進度
 週次 日期 單元主題 第1週 9/12,9/14 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms 2.1 The Tangent and Velocity Problems 第2週 9/19,9/21 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 9/26,9/28 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 10/03,10/05 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 第5週 10/10,10/12 3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic Functions 3.8 Exponential Growth and Decay (✽) 第6週 10/17,10/19 3.9 Related Rates 3.10 Linear Approximations and Differentials 3.11 Hyperbolic Functions 4.1 Maximum and Minimum Values 第7週 10/24,10/26 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 10/31,11/02 4.5 Summary of Curve Sketching 4.7 Optimization Problems 4.9 Antiderivatives 期中考 11/3(六) 09:00~11:30 考試範圍 1.4~4.9(英文命題) 第9週 11/07,11/09 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 11/14,11/16 6.1 Areas Between Curves 6.2 Volume 6.3 Volumes by Cylindrical Shells 6.5 Average Value of a Function 第11週 11/21,11/23 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 第12週 11/28,11/30 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.8 Improper Integrals 第13週 12/05,12/07 8.1 Arc Length 8.2 Area of a Surface of Revolution 第14週 12/12,12/14 9.1 Modeling with Differential Equations 9.3 Separable Equations 第15週 12/19,12/21 9.4 Models for Population Growth 9.5 Linear Equations 第16週 12/26,12/28 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 第17週 1/02,1/04 10.4 Areas and Lengths in Polar Coordinates 期末考1/5(六) 09:00~11:30 考試範圍 5.1~10.4(英文命題)