課程資訊

Calculus (general Mathematics) (a)(1)

103-1

MATH1201

201 101A1

02

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1031MATH1201_02

http://www.math.ntu.edu.tw/~mathcal/download/991/991A1.pdf

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, 7th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 2. 期末考 40% 3. 小考 15% 4. 作業 5%

 課程進度
 週次 日期 單元主題 第1週 9/15,9/17,9/19 Limits, The Squeeze Theorem. 第2週 9/22,9/24,9/26 Infinite Limits, Limits at Infinity, Continuity, Differentiation, The Chain Rule. 第3週 9/29,10/01,10/03 Differentiation of the Trigonometric Functions, Implicit Function Theorem and Implicit Differentiation, The Completeness Axiom of Real Numbers, Intermediate-Value Theorem, Extreme-Value Theorem. 第4週 10/06,10/08,10/10 Mean-Value Theorem, First Derivative Test, Second Derivative Test. Vacation on 10/10 第5週 10/13,10/15,10/17 Quiz 1, Concavity, Curve Sketching, Oblique Asymptotes, Inverse Function Theorem. 第6週 10/20,10/22,10/24 Logarithmic Functions and Exponential Functions, First-Order Linear Constant Coefficient Ordinary Differential Equations, Exponential Growth and Decay, Inverse Trigonometric Functions. 第7週 10/27,10/29,10/31 Hyperbolic Functions, Inverse Hyperbolic Functions and Their Derivatives, Indeterminate Forms and L'Hospital' Rule, Linear Approximations and Differentials. 第8週 11/03,11/05,11/07 Quiz 2.