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Resource

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Chapter
教    材    內    容
 1.5  Exponential Functions
   What is
 1.6  Inverse Functions
   
 2.2  Limits
 2.3  Limit Laws
 2.4  The Precise Definition of a Limit
 2.5  Couninuity
 2.6  Asymptotes
 2.8,2.9  Tangent Lines and Definition of the Derivative
   
 3.1,3.2  Continuous Functions that Fail to Be Differentiable
   Rate of Change in Natural and Social Science?
 3.8,3.10  Derivatives of Inverse Functions
   
 4.1  Maximum and Minimum Values
 4.2  The Mean Value Theorem
 4.3  How Derivatives Affect the Shape of a Graph?
 4.4  L'Hospital's Rule
 4.10  Antiderivatives
   
 6.2  Volumes by Cross Sections?
 6.3

 Volumes by Cylindrical Shells

   
 10.1  Graphic Design
   Bezier Curves
 10.3  Polar Coordinates and Polar Curves
 10.4  Area in Polar Coordinates
   
 11.1,11.2  費氏數列及黃金分割
 11.5  Alternating Series
 11.6  Rearragement
 11.8  Bessel Functions
 11.9  Representations of Functions as Power series
 11.10  Taylor Polynomial and Taylor Series
   
 12.2  Vectors and the Geometry of Space
 12.5

   Lines and Planes in Space

 12.7  Cylindrical and Spherical Coordinates
   
 13.1

   空間曲線

 13.4  Motion in Space
   
 14.1  Functions of Several Variables
 14.2

   Limits of Multivariable Functions

 14.3  Partial Derivatives
 14.4  Tangent Planes and Linear Approximations
 14.5,14.6  Directional Derivatives and the Gradient Vector 
 14.8  Lagrange Multipliers
 

 Maximum and Minimum Values

   
 15.1,15.2

 Double Integrals and Iterated Integrals

 15.3  Double Integral Over General Regions
 15.4

   Double Integral in Polar Coordinates 

 15.7,15.8    Triple Integrals in Spherical Coordinates
     The Intersection of Cylinders
   

 

 

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