[台湾名师丁云龙][Calculus][放式课程][without charge]
欢迎光临丁云龙老师教学网页http://csm01.csu.edu.tw/0166/2007Ting/index.htm
1.此教学课程模拟麻省理工开放式课程, 加入影音讲解, 内容针对初学入门者, 偏重运算, 尤其适合技职体系的同学
2.这是一个开放式影音课程, 可配合学校教学, 达到预习及复习的效果
3.此教学课程以四技大一微积分为主, 高中数学 及国高中衔接课程为辅
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CHAPTER 1LIMITS OF FUNCTIONS
Section 1-1 Limits
Section 1-2 One-Sided Limit
Section 1-3 Continuity
Section 1-4 A Limit at Infinity and Infinite Limit
CHAPTER 2DERIVATIVE
Section 2-1 Definition of Derivative
Section 2-2 The Rule of Differentiation
Section 2-3 Chain Rule and Implicit Differentiation
Section 2-4 Derivatives of Exponential and Logarithmic F
Section 2-5 Numerical Approximate –Differentials
Section 2-6 Derivatives of Trigonometric Functions
Section 2-7 Derivatives of Inverse Trigonometric F
CHAPTER 3APPLICATIONS OF DERIVATIVES
Section 3-1 The Mean Value Theorem and its Applications
Section 3-2 Increasing and Decreasing Functions
Section 3-3 Maximum and Minimum Values
Section 3-4 The Max -Min Problems
Section 3-5 Concavity and Points of Inflection
Section 3-6 Asymptotes
Section 3-7 Sketching curve
Section 3-8 L' Hopital's Rule
Section 3-9 Taylor Series
Section 3-10Applications In Marginal Analysis
Section 3-11Elasticity
CHAPTER 4 THE INDEFINITE INTEGRALS
Section 4-1 Antiderivative and The Indefinite Integrals
Section 4-2 Integration by Changing Variables
Section 4-3 Integration by Parts
Section 4-4 The Trigonometric Integrals
Section 4-5 The Integration by Partial Fractions
Section 4-6 Trigonometric and Half-Angle Substitution
CHAPTER 5 THE DEFINITE INTEGRALS
Section 5-1 Areas and the Definition of Definite Integral
Section 5-2 The Fundamental Theorem of Calculus
Section 5-3 The Approximate Integration
Section 5-4 The Improper Integrals
CHAPTER 6 APPLICATIONS OF INTEGRATION
Section 6-1 Areas between Curves
Section 6-2 Areas in Polar Coordinates
Section 6-3 Arc Length
Section 6-4 Volumes and The Volumes of Revolution
Section 6-5 Area of a Surface of Revolution
Section 6-6 Centroid of A Plane Region
Section 6-7 Work and The Problems of The Engineering
CHAPTER 7 PARTIAL DERIVATIVES
Section 7-1 Limits and Continuity
Section 7-2 Partial Derivatives
Section 7-3 The Differentials and Chain Rules
Section 7-4 Extrema of Functions of Two Variables
Section 7-5 Directional Derivatives, Gradient and Tangent Plane
CHAPTER 8 MULTIPLE INTEGRALS
Section 8-1 Integrals over a Rectangle
Section 8-2 Integrals over a Region
Section 8-3 Three-Dimensional Iterated Integrals
Section 8-4 Multiple Integration in Polar, Cylindrical andSpherical Coordinates
Section 8-5 Applications of Multiple Integrals
不错不错什么东西都能找到,哈哈.谢了楼主. EMB_18 very good! EMB_18 EMB_18
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