科目名稱

`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