課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(1)

97-1

MATH1201

201 101A1

05

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/971calculus05

Office Hours

James Stewart, Calculus Early
Transcendentals, 6th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 2. 期末考 40% 3. 平時成績 20%

 課程進度
 週次 日期 單元主題 第1週 9/17,9/19 [1.5] Exponential Functions [1.6] Inverse Functions and Logarithms [2.1] The Tangent and Velocity Problems [2.2] The Limit of a Function 第2週 9/24,9/26 [2.3] Calculating Limits Using the Limit Laws [2.4] The Precise Definition of a Limit [2.5] Continuity [2.6] Limits at Infinity; Horizontal Asymptotes 第3週 10/01,10/03 [2.7] Derivatives and Rates of Change [2.8] The Derivative as a Function [3.1] Derivatives of Polynomials and Exponential Functions [3.2] The Product and Quotient Rules [3.3] Derivatives of Trigonometric Functions 第4週 10/08,10/10 [3.4] The Chain Rule [3.5] Implicit Differentiation [3.6] Derivatives of Logarithmic Functions 10/10(五) 國慶紀念日(放假一天) 第5週 10/15,10/17 [3.7] Rates of Change in the Natural and Social Sciences [3.8] Exponential Growth and Decay [3.9] Related Rates [3.10] Linear Approximations and Differentials [3.11] Hyperbolic Functions 第6週 10/22,10/24 [4.1] Maximum and Minimum Values [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7週 10/29,10/31 [4.5] Summary of Curve Sketching [4.6] Graphing with Calculus and Calculators [4.7] Optimization Problems [4.8] Newton’s Method [4.9] Antiderivatives 第8週 11/05,11/07 [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9週 11/12,11/14 緩衝時間 11/14(五)56節期中考，範圍：1∼5章 11/15(六)校慶 第10週 11/19,11/21 [6.1] Areas between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells [6.4] Work 第11週 11/26,11/28 [6.5] Average Value of a Function [7.1] Integration by Parts [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution 第12週 12/03,12/05 [7.4] Integration of Rational Functions by Partial Fractions [7.5] Strategy for Integration [7.6] Integration Using Tables and Computer Algebra Systems [7.7] Approximate Integration 第13週 12/10,12/12 [7.8] Improper Integrals [8.1] Arc Length [8.2] Area of a Surface of Revolution [8.3] Applications to Physics and Engineering 第14週 12/17,12/19 [8.4] Applications to Economics and Biology [8.5] Probability [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method 第15週 12/24,12/26 [9.3] Separable Equations [9.4] Models for Population Growth [9.5] Linear Equations [9.6] Predator-Prey Systems 第16週 12/31,1/02 [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates 1/1 (四)元旦放假 第17週 1/07,1/09 緩衝時間 第18週 1/14 1/14(三)56節期末考，範圍：6∼10章