課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(1)

98-1

MATH1201

201 101A1

13

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/981calculusCV

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, 6th edition
☆微積分甲統一教學網站

(僅供參考)

 No. 項目 百分比 說明 1. Midterm 40% 期中考？/?（六）9：00∼11：30 考試範圍?∼? 2. Final 40% 期末考?/?（六）9：00∼11：30 考試範圍?∼? 3. Quizzes and homework 20%

 課程進度
 週次 日期 單元主題 第1週 02/22 [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 03/01 [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 03/08 [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 03/15 [3.4] The Chain Rule [3.5] Implicit Differentiation [3.6] Derivatives of Logarithmic Functions 緩衝時間 第5週 03/22 [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 03/29 [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 04/05 週一至週三：溫書假 [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 04/12 [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 04/19 [5.5] The Substitution Rule [6.1] Areas between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells 期中考周 期中考04/?（六）9：00∼11：30 考試範圍?∼? 第10週 04/26 緩衝時間 [6.4] Work（※） [6.5] Average Value of a Function 第11週 05/03 [7.1] Integration by Parts [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution 第12週 05/10 [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 05/17 [7.8] Improper Integrals, [8.1] Arc Length; [8.2] Area of a Surface of Revolution, [10.1] Curves Defined by Parametric Equations 第14週 05/24 [10.2] Calculus with Parametric Curves [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates 第15週 05/31 [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method [9.3] Separable Equations [9.4] Models for Population Growth 第16週 06/07 [9.5] Linear Equations [9.6] Predator-Prey Systems （※） 1/1(五) 元旦放假 第17週 06/14 Review 期末考6/?（日）9：00∼11：30 考試範圍?∼?