科目名稱 

微積分一

授課教師 

全任重

教室 

綜三203、綜三數圖電腦室

辦公室

綜三629

電話

3029

網頁

http://poncelet.math.nthu.edu.tw/disk3/cal02/

e-mail

jcchuan@math.nthu.edu.tw

使用軟體

Maple 8、Excel、Cabri Geometry

評分原則

三次小考(10/17, 11/14, 12/12)、一次大考

助教

胡忠澤  0928-858-865

9/10

Maple-Introduction

9/12

Number Patterns

9/17

Graph

9/24

SWP

9/26

Successive Derivatives
  Summary
  Exercise-patterns

10/3

Continuous Function

10/5

Continuity of Polynomial

10/29

Implicit Differentiation

11/5

Implicit Differentiation, Exercise on related rates and implicit differentiation

11/7

Curvature

11/12

Relative Maximum, Rolle's Theorem, Mean-Value Theorem

11/26

L'Hôpital's Rule, Logarithm, Exponential Function, Properties of Integrals, Riemann Sums

12/4

Tangent Construction
  Same Number Pattern
  Properties of a Continuous Function
  Derivative
  Derivative of a Function Represented Parametrically
  Velocity
  Rational Functions
  Worked Examples of Extremum Problem
  Exercise--Related rates and implicit differentiation
  L'Hôpital's Rule
  Exercise--L'Hôpital's Rule
  Lower Sum, Upper Sum, Integral of a Bounded Function, Fundamental Theorems of Calculus
  Inverse Functions, Inverse Trigonometric Functions
  Integration by partial fraction
  Arc Length of a Plane Curve 
  Arc Length in Polar Coordinates
  Exercise-area
  Logarithm, Definition of e, Uniqueness of the solution to f'=f, Properties of Integrals, Riemann Sums
  Method of Cylindrical Shells
  Integration by substitution
  Area of Surface of Revolution
  Centroid of a Region
  Calculating Volumes of Slicing
  WORK
  Taylor Polynomial

 

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