《微积分II（全英）》PPT课件 邓雪 华南理工大学

 
课件内容： 
Infinite Series 
chapter 9.1 Infinite Sequences 
chapter 9.2 Infinite Series 
chapter 9.3 Positive Series: The Integral Test 
chapter 9.4 Positive Series: Other Tests 
chapter 9.5 Alternating Series  Absolute Convergence  and Conditional Convergence 
chapter 9.6 Power Series 
chapter 9.8 Taylor and Maclaurin Series 
Conics and Polar Coordinate 
chapter 10.4 Parametric Representation of Curves in the Plane 
chapter 10.5 The Polar Coordinate System 
chapter 10.7 Calculus in Polar Coordinates 
Geometry in Space and Vectors 
chapter 11.1 Cartesian Coordinates in Three-Space 
chapter 11.2 Vectors 
chapter 11.3 The Dot Product 
chapter 11.4 The Cross Product 
chapter 11.6 Lines and Tangent Lines in Three-space 
Derivatives for Functions of Two or More Variables 
chapter 12.1 Functions of Two or More Variables 
chapter 12.2 Partial Derivatives 
chapter 12.3 Limits and Continuity 
chapter 12.4 Differentiability 
chapter 12.5 Directional Derivatives and Gradients 
chapter 12.6 The Chain Rule 
chapter 12.7 Tangent Lines  Tagent Planes and Approximations 
chapter 12.8 Maxima and Minima 
chapter 12.9 The Method of Lagrange Multipliers 
Multiple Integrals 
chapter 13.1 Double Integrals over Rectangles 
chapter 13.2 Iterated Integrals 
chapter 13.3 Double integrals over nonrectangular regions 
chapter 13.4 Double integrals in polar coordinates 
chapter 13.6 Surface Area 
chapter 13.7 Triple Integrals in Cartesian Coordinates 
Vector Calculus 
Chapter 14.2 Line Integrals 
Chapter 14.3 Independence of Path 
chapter 14.4 Green’s Theorem in the Plane 
Chapter 14.5 Surface Integrals 
Chapter 14.6 Gauss’s Divergence Theorem 
Exercises 
Exercises Lesson（I） 
Exercises Lesson（II） 
Exercises Lesson（III） 
Exercises Lesson（IV）