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2006-2007年 数学分析讲义第一部分
 
   
   
 
 
 
 
 
 
 
 
 
2006-2007年 数学分析讲义第二部分
 
 
 
 
 
 
 
 
 
 
 
2006-2007年 数学分析讲义第三部分
 
   
   
   
   
   
   
 
 
 
 
 
         

 

 2002-2003学年上学期王昆扬在北京师范大学珠海校区为信息学院一年级学生(285人)讲授 Calculus 的部分教案(点击可阅读各节教案具体内容)

                          Calculus
             September 2002- January 2003 at Zhuhai Campus of BNU

Text Book:

Title : Calculus
Authors: Howard Anton, Drexel University 
      Irl Bivens, Davidson College
      Stephen Davis, Davidson College
Publisher: Wiley
Date of publication: the 7thed edition, ISBN 9971-51-431-1,
copyright © 2002 Exclusive rights by John Wiley & Sons (Asia) Pte. Ltd

Teacher: Wang Kunyang,
Tutors: Yu Dan and He Xiaoyuan

Chapter 2. Limits and Continuity
  Lecture 1. Rigorous discussion on limits 
  Lecture 2. Convergence Criterion
  Lecture 3. Continuity of functions
  Lecture 4. Exponential and logarithmic functions
Chapter 3. The Derivative
  Lecture 1. Definitions and Techniques of Differentiation  
  Lecture 2. Derivatives of Inverse and Composition Functions
Chapter 4. The Derivative in Applications
  Lecture 1. Mean-Value Theorems 
  Lecture 2. Applied Extrema Problems (1)
  Lecture 3. Applied Extrema Problems (2) 
  Lecture 4. Newton's Method, L'Hopital's Rule
Chapter 5. Integration
  Lecture 1. The Indefinite Integral (不定积分) and Antiderivative (原函数)
  Lecture 2. The Definite Integral(定积分) 
  Lecture 3. Evaluating Definite Integral
Chapter 6. Applications of the Integral
  Lecture 1. Area and Volume
  Lecture 2. Length of a Plane Curve, Area of a Surface of Revolution(旋转面) and Applications in Physics

 

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