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微积分-2
课程类型:
选修课
发布时间:
2022-01-19 17:19:16
主讲教师:
课程来源:
建议学分:
3.00分
课程编码:
xtzx1124
课程介绍
课程目录
教师团队
Chapter 1 Improper Integrals 广义积分 (first part)
Introduction (课程介绍)
(5分钟)
Unit 1 Definition of Improper Integrals (广义积分的定义)(section 1)
(20分钟)
Unit 1 Definition of Improper Integrals (广义积分的定义)(section 2)
(17分钟)
Unit 2 Examples of Improper Integrals (广义积分的例子)
(23分钟)
Chapter 1 Improper Integrals 广义积分 (second part)
Unit 3 Tests of Convergence(收敛性判别)(section 1)
(19分钟)
Unit 3 Tests of Convergence(收敛性判别)(section 2)
(13分钟)
Unit 4 Absolute Convergence and Conditional Convergence (绝对收敛和条件收敛)
(14分钟)
Chapter 2 Infinite Series 无穷级数(first part)
Unit 1 Infinite Series and Their Convergence(无穷级数及其收敛性)
(21分钟)
Unit 2 Absolute Convergence and Conditional Convergence (绝对收敛与条件收敛)
(21分钟)
Unit 3 More Tests for Convergence (更多的收敛性判别法)(section 1)
(4分钟)
Unit 3 More Tests for Convergence (更多的收敛性判别法)(section 2)
(17分钟)
Unit 3 More Tests for Convergence (更多的收敛性判别法)(section 3)
(14分钟)
Chapter 2 Infinite Series 无穷级数 (second part)
Unit 4 Sequences and Series of Founctions(函数项数列与函数项级数)(section 1)
(10分钟)
Unit 4 Sequences and Series of Founctions(函数项数列与函数项级数)(section 2)
(23分钟)
Unit 5 Uniform Convergence(一致收敛性)(section 1)
(20分钟)
Unit 5 Uniform Convergence(一致收敛性)(section 2)
(13分钟)
Chapter 3 Power Series and Fourier Series 幂级数和Fourier级数 (first part)
Unit 1 Power Series (幂级数)(section 1)
(21分钟)
Unit 1 Power Series (幂级数)(section 2)
(14分钟)
Unit 2 Expansion of Functions in Power Series (函数的幂级数展开)
(21分钟)
Unit 3 Fourier Expansion (Fourier级数展开) (section 1)
(17分钟)
Unit 3 Fourier Expansion (Fourier级数展开) (section 2)
(10分钟)
Chapter 3 Power Series and Fourier Series 幂级数和Fourier级数 (second part)
Unit 4 Convergence of Fourier Series(Fourier 级数的收敛性)(section 1)
(13分钟)
Unit 4 Convergence of Fourier Series(Fourier 级数的收敛性)(section 2)
(15分钟)
Unit 5 Other Forms of Fourier Series(其他形式的Fourier级数)
(20分钟)
Chapter 4 Differentiations of Multivariable Functions 多元函数微分学 (first part)
Unit 1 Euclidean Space (欧几里德空间) (section 1)
(15分钟)
Unit 1 Euclidean Space (欧几里德空间) (section 2)
(8分钟)
Unit 1 Euclidean Space (欧几里德空间) (section 3)
(21分钟)
Unit 2 Curves and Surfaces (曲线与曲面) (section 1)
(11分钟)
Unit 2 Curves and Surfaces (曲线与曲面) (section 2)
(23分钟)
Unit 2 Curves and Surfaces (曲线与曲面) (section 3)
(6分钟)
Unit 3 Point-Set Topology of E3 (E3中的点集拓扑) (section 1)
(14分钟)
Unit 3 Point-Set Topology of E3 (E3中的点集拓扑) (section 2)
(16分钟)
Unit 3 Point-Set Topology of E3 (E3中的点集拓扑) (section 3)
(8分钟)
Chapter 4 Differentiations of Multivariable Functions 多元函数微分学 (second part)
Unit 4 Completeness and Connectness (完备性与连通性) (section 1)
(19分钟)
Unit 4 Completeness and Connectness (完备性与连通性) (section 2)
(6分钟)
Unit 5 Continuous Multivariable Functions (连续多元函数) (section 1)
(27分钟)
Unit 5 Continuous Multivariable Functions (连续多元函数) (section 2)
(17分钟)
Unit 5 Continuous Multivariable Functions (连续多元函数) (section 3)
(9分钟)
Chapter 4 Differentiations of Multivariable Functions 多元函数微分学 (third part)
Unit 6 Partial Derivatives and Differentiability (偏导数与可微性) (section 1)
(27分钟)
Unit 6 Partial Derivatives and Differentiability (偏导数与可微性) (section 2)
(14分钟)
Unit 6 Partial Derivatives and Differentiability (偏导数与可微性) (section 3)
(19分钟)
Unit 7 Jacobian Matrix and Directional Derivatives (雅克比矩阵与方向导数) (section 1)
(14分钟)
Unit 7 Jacobian Matrix and Directional Derivatives (雅克比矩阵与方向导数) (section 2)
(9分钟)
Unit 7 Jacobian Matrix and Directional Derivatives (雅克比矩阵与方向导数) (section 3)
(6分钟)
Unit 7 Jacobian Matrix and Directional Derivatives (雅克比矩阵与方向导数) (section 4)
(11分钟)
Chapter 4 Differentiations of Multivariable Functions 多元函数微分学 (fourth part)
Unit 8 Taylor's Theorem (泰勒定理) (section 1)
(26分钟)
Unit 8 Taylor's Theorem (泰勒定理) (section 2)
(7分钟)
Unit 8 Taylor's Theorem (泰勒定理) (section 3)
(29分钟)
Unit 9 Applications of Gradients (梯度的应用) (section 1)
(12分钟)
Unit 9 Applications of Gradients (梯度的应用) (section 2)
(24分钟)
Chapter 5 Multiple Integrals 重积分 (first part)
Unit 1 Multiple Integrals (重积分) (section 1)
(22分钟)
Unit 1 Multiple Integrals (重积分) (section 2)
(18分钟)
Unit 1 Multiple Integrals (重积分) (section 3)
(26分钟)
Unit 2 Triple Integrals (三重积分) (section 1)
(15分钟)
Unit 2 Triple Integrals (三重积分) (section 2)
(6分钟)
Unit 2 Triple Integrals (三重积分) (section 3)
(15分钟)
Unit 3 Line Integrals (曲线积分) (section 1)
(32分钟)
Unit 3 Line Integrals (曲线积分) (section 2)
(29分钟)
Chapter 5 Multiple Integrals 重积分 (second part)
Unit 4 Surface Integrals (I) (第一型曲面积分) (section 1)
(31分钟)
Unit 4 Surface Integrals (I) (第一型曲面积分) (section 2)
(15分钟)
Unit 4 Surface Integrals (I) (第一型曲面积分) (section 3)
(32分钟)
Unit 5 Surface Integrals (II) (第二型曲面积分) (section 1)
(17分钟)
Unit 5 Surface Integrals (II) (第二型曲面积分) (section 2)
(14分钟)
Unit 5 Surface Integrals (II) (第二型曲面积分) (section 3)
(23分钟)
Chapter 5 Multiple Integrals 重积分 (last part)
Unit 6 Some Theorems of Line and Surface Integrals (曲线与曲面积分的几个定理) (section 1)
(13分钟)
Unit 6 Some Theorems of Line and Surface Integrals (曲线与曲面积分的几个定理) (section 2)
(10分钟)
Unit 6 Some Theorems of Line and Surface Integrals (曲线与曲面积分的几个定理) (section 3)
(13分钟)
Unit 6 Some Theorems of Line and Surface Integrals (曲线与曲面积分的几个定理) (section 4)
(14分钟)
Unit 7 Field Theory (场论) (section 1)
(20分钟)
Unit 7 Field Theory (场论) (section 2)
(20分钟)
Unit 7 Field Theory (场论) (section 3)
(14分钟)
Unit 7 Field Theory (场论) (section 4)
(25分钟)