課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(1)

98-1

MATH1201

201 101A1

01

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/981calculusA01

☆上課時間：三56 五56 、 實習課時間：一9。
☆各班實習課分組教室：將公告於微積分甲統一教學網站公佈。
☆微積分甲統一教學網站：http://www.math.ntu.edu.tw/~mathcal/a/ 。
☆各班助教Office Hour時間：將公告於微積分甲統一教學網站公佈。
☆習題：習題繳交與否依各授課教師規定；習題解答將於公佈於微積分甲統一教學網站。
☆期中、期末考題目以英文命題。

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

High School Mathematics
Office Hours

James Stewart, Calculus Early Transcendentals, 6th edition

(僅供參考)

 No. 項目 百分比 說明 1. Midterm exam 40% 2. Final exam 40% 3. Quizzes and/or homework 20%

 課程進度
 週次 日期 單元主題 第1週 09/14 [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 09/21 [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 09/28 [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 10/05 [3.4] The Chain Rule [3.5] Implicit Differentiation [3.6] Derivatives of Logarithmic Functions [3.7] Rates of Change in the Natural and Social Sciences（※）[3.8] Exponential Growth and Decay 第5週 10/12 [3.9] Related Rates [3.10] Linear Approximations and Differentials [3.11] Hyperbolic Functions（※）[4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem 第6週 10/19 [4.3] How Derivatives Affect the Shape of a Graph [4.4] Indeterminate Forms and L’Hospital’s Rule 第7週 10/26 [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 [5.1] Areas and Distances 第8週 11/02 [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 11/09 [6.1] Areas between Curves [6.2] Volumes 第10週 11/16 [6.3] Volumes by Cylindrical Shells [6.4] Work（※）[6.5] Average Value of a Function [7.1] Integration by Parts 第11週 11/23 [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution 第12週 11/30 [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 12/07 [7.8] Improper Integrals 第14週 12/14 [8.1] Arc Length [8.2] Area of a Surface of Revolution [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method 第15週 12/21 [9.3] Separable Equations [9.4] Models for Population Growth [9.5] Linear Equations [9.6] Predator-Prey Systems （※） 第16週 12/28 [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves 第17週 01/04 [10.3] Polar Coordinates [10.4] Areas and Lengths in Polar Coordinates