課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(1)

97-1

MATH1201

201 101A1

13

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/971cal_13

Office Hours

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 20% 2. 期末考 20% 3. 隨堂測驗 20% 4. 作業 20% 5. 報告 20%

 課程進度
 週次 日期 單元主題 第1週 9/16,9/18 [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 9/23,9/25 [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 [2.7] Derivatives and Rates of Change 第3週 9/30,10/02 [2.8] The Derivative as a Function [3.1] Derivatives of Polynomials and Exponential Functions 　 3. Differentiation Rules 　 [3.2] The Product and Quotient Rules [3.3] Derivatives of Trigonometric Functions 第4週 10/07,10/09 [3.4] The Chain Rule [3.5] Implicit Differentiation [3.6] Derivatives of Logarithmic Functions 第5週 10/14,10/16 [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（※） [4.1] Maximum and Minimum Values 第6週 10/21,10/23 [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 10/28,10/30 [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 11/04,11/06 [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 第9週 11/11,11/13 [5.5] The Substitution Rule [6.1] Areas between Curves 　 6. Applications of Integration 　 [6.2] Volumes [6.3] Volumes by Cylindrical Shells 第10週 11/18,11/20 [6.4] Work（※） [6.5] Average Value of a Function 第11週 11/25,11/27 [7.1] Integration by Parts [7.2] Trigonometric Integrals 　 [7.3] Trigonometric Substitution 第12週 12/02,12/04 [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 12/09,12/11 [7.8] Improper Integrals 第14週 12/16,12/18 [8.1] Arc Length [8.2] Area of a Surface of Revolution 　 9. Differential Equations [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method 第15週 12/23,12/25 [9.3] Separable Equations [9.4] Models for Population Growth 　 [9.5] Linear Equations [9.6] Predator-Prey Systems （※） 第16週 12/30,1/01 [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves 第17週 1/06,1/08 [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates