一、全微分的定义 二、全微分在数值计算中的应用

4.1 高斯消元法 4.2 矩阵的LU分解 4.3 雅可比迭代 4.4 高斯-塞德尔迭代 4.5 收敛性定理 4.6 应用实例

2.1 冲激函数及其性质 2.2 系统的冲激响应 2.3 信号的时域分解和卷积积分 2.4 卷积的图解和卷积积分限的确定 2.5 卷积积分的性质 2.6 卷积的数值计算

Theorem 3.7. (Elementary Transformations). The following opera- tions applied to a linear system yield an equivalent system: ()Interchange: The order of two equations can be changed. (2)Scaling: Multiplying an equation by a nonzero constant. (3)Replacement: An equation can be replaced by the sum of itself and a nonzero multiple of any other equation

《数值分析》课程PPT教学课件（英文版）Chapter 02 Numerical Integration 2.6 Iterative Methods for Linear Systems

《数值分析》课程PPT教学课件（英文版）Chapter 02 Numerical Integration 2.1 Introduction to Vectors and Matrices

《数值分析》课程PPT教学课件（英文版）Chapter 03 Interpolation and polynomial Approximation 3.1 Taylor Series and Calculation of Functions

《数值分析》课程PPT教学课件（英文版）Chapter 02 Numerical Integration 2.1 Introduction to Quadrature

《数值分析》课程PPT教学课件（英文版）Chapter 01 The Solution of Nonlinear Equations 1.4 Newton Polynomial

《数值分析》课程PPT教学课件（英文版）Chapter 01 The Solution of Nonlinear Equations 1.6 Padé Approximation