章節 週次 課程進度 Chapter 2 Limits
and Continuity
第一週 09/17-09/21
The Limit Process (An Intuitive Introduction) Exercises 2.1: 1,2,17,23,25,29,31,33,37,41,45,47 Definition of Limit
Exercises 2.2: 5,7,13,18,20,23,35,41 Some Limit Theorems
Exercises 2.3:1,3,11,15,17,21,27,31,39,39,43-47 第二週
09/24-09/28
Continuity
Exercises 2.4:1,9,11,13,15,31,33,35,37,41,48 The Pinching Theorem; Trigonometric Limits Exercises 2.5:3,5,7,11,13,15,17,19,23,31 Two Basic Theorems ; The Derivative Exercises 2.6:1,3,9,25
Chapter 3 The Derivative;
第三週 10/01-10/05
Some Differentiation Formulas
請上 Moodle 課程學習網站查閱第 3 章習題題號 The d/dx Notation; Derivatives of Higher Order
The Derivative As a Rate of Change
The Process of Differentiation
第四週 10/08-10/12
The Chain Rule
Differentiating The Trigonometric Functions
Implicit Differentiation; Rational Powers
Chapter 4 The Mean-Value
Theorem;
第五週 10/15-10/17
The Mean-Value Theorem
請上 Moodle 課程學習網站查閱第 4 章習題題號 Increasing and Decreasing Functions
Local Extreme Values; Absolute Extreme Values; Some Max-Min Problems
Applications of the 1st and 2nd
Derivatives
第六週 10/22-10/24
第七週 10/29-11/02
Concavity and Points of Inflection
Vertical and Horizontal Asymptotes; Vertical Tangents and Cusps; Some Curve Sketching Differentials; Newton-Raphson Approximations
第八週
11/05-11/09 11/7 星期三 8:05-10:00(在化工系柏林講堂)期中考 ; 範圍 2.1-4.12
