微积分-2(2015年秋)
date_range Débute le 14 septembre 2015
event_note Se termine le 8 janvier 2016
list 3 séquences
assignment Niveau : Introductif
chat_bubble_outline Langue : Chinois
card_giftcard 9 points
- /5
Avis de la communauté
0 avis

Les infos clés

credit_card Formation gratuite
timer 15 heures de cours

En résumé

本课程专为MOOC设计,讲授常规理工科微积分的后半部分(级数,多元微积分,微分方程)。以中英文对照的方式讲授,并使用以英文为主的教材和学习资料。This course is designed for engineering students and for MOOC use only. The contents are basically series, multivariable calculus and ODE. We mainly use English in lecture notes and exercises, and use both Chinese and English in lectures.

more_horiz Lire plus
more_horiz Lire moins
dns

Le programme

Chapter 1 Improper Integrals 广义积分 (first part)
Introduction (课程介绍)
Unit 1 Definition of Improper Integrals (广义积分的定义)(section 1)
Unit 1 Definition of Improper Integrals (广义积分的定义)(section 2)
Unit 2 Examples of Improper Integrals (广义积分的例子)
Chapter 1 Improper Integrals 广义积分 (second part)
Unit 3 Tests of Convergence(收敛性判别)(section 1)
Unit 3 Tests of Convergence(收敛性判别)(section 2)
Unit 4 Absolute Convergence and Conditional Convergence (绝对收敛和条件收敛)
章节测验1
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)
Unit 2 Absolute Convergence and Conditional Convergence (绝对收敛与条件收敛)
Unit 3 More Tests for Convergence (更多的收敛性判别法)(section 1)
Unit 3 More Tests for Convergence (更多的收敛性判别法)(section 2)
Unit 3 More Tests for Convergence (更多的收敛性判别法)(section 3)
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)
Unit 4 Sequences and Series of Founctions(函数项数列与函数项级数)(section 2)
Unit 5 Uniform Convergence(一致收敛性)(section 1)
Unit 5 Uniform Convergence(一致收敛性)(section 2)
章节测验 2
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)
Unit 1 Power Series (幂级数)(section 2)
Unit 2 Expansion of Functions in Power Series (函数的幂级数展开)
Unit 3 Fourier Expansion (Fourier级数展开) (section 1)
Unit 3 Fourier Expansion (Fourier级数展开) (section 2)
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)
Unit 4 Convergence of Fourier Series(Fourier 级数的收敛性)(section 2)
Unit 5 Other Forms of Fourier Series(其他形式的Fourier级数)
章节测验 3
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)
Unit 1 Euclidean Space (欧几里德空间) (section 2)
Unit 1 Euclidean Space (欧几里德空间) (section 3)
Unit 2 Curves and Surfaces (曲线与曲面) (section 1)
Unit 2 Curves and Surfaces (曲线与曲面) (section 2)
Unit 2 Curves and Surfaces (曲线与曲面) (section 3)
Unit 3 Point-Set Topology of E3 (E3中的点集拓扑) (section 1)
Unit 3 Point-Set Topology of E3 (E3中的点集拓扑) (section 2)
Unit 3 Point-Set Topology of E3 (E3中的点集拓扑) (section 3)
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)
Unit 4 Completeness and Connectness (完备性与连通性) (section 2)
Unit 5 Continuous Multivariable Functions (连续多元函数) (section 1)
Unit 5 Continuous Multivariable Functions (连续多元函数) (section 2)
Unit 5 Continuous Multivariable Functions (连续多元函数) (section 3)
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)
Unit 6 Partial Derivatives and Differentiability (偏导数与可微性) (section 2)
Unit 6 Partial Derivatives and Differentiability (偏导数与可微性) (section 3)
Unit 7 Jacobian Matrix and Directional Derivatives (雅克比矩阵与方向导数) (section 1)
Unit 7 Jacobian Matrix and Directional Derivatives (雅克比矩阵与方向导数) (section 2)
Unit 7 Jacobian Matrix and Directional Derivatives (雅克比矩阵与方向导数) (section 3)
Unit 7 Jacobian Matrix and Directional Derivatives (雅克比矩阵与方向导数) (section 4)
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)
Unit 8 Taylor's Theorem (泰勒定理) (section 2)
Unit 8 Taylor's Theorem (泰勒定理) (section 3)
Unit 9 Applications of Gradients (梯度的应用) (section 1)
Unit 9 Applications of Gradients (梯度的应用) (section 2)
章节测验4
Chapter 5 Multiple Integrals 重积分 (first part)
Unit 1 Multiple Integrals (重积分) (section 1)
Unit 1 Multiple Integrals (重积分) (section 2)
Unit 1 Multiple Integrals (重积分) (section 3)
Unit 2 Triple Integrals (三重积分) (section 1)
Unit 2 Triple Integrals (三重积分) (section 2)
Unit 2 Triple Integrals (三重积分) (section 3)
Unit 3 Line Integrals (曲线积分) (section 1)
Unit 3 Line Integrals (曲线积分) (section 2)
Chapter 5 Multiple Integrals 重积分 (second part)
Unit 4 Surface Integrals (I) (第一型曲面积分) (section 1)
Unit 4 Surface Integrals (I) (第一型曲面积分) (section 2)
Unit 4 Surface Integrals (I) (第一型曲面积分) (section 3)
Unit 5 Surface Integrals (II) (第二型曲面积分) (section 1)
Unit 5 Surface Integrals (II) (第二型曲面积分) (section 2)
Unit 5 Surface Integrals (II) (第二型曲面积分) (section 3)
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)
Unit 6 Some Theorems of Line and Surface Integrals (曲线与曲面积分的几个定理) (section 2)
Unit 6 Some Theorems of Line and Surface Integrals (曲线与曲面积分的几个定理) (section 3)
Unit 6 Some Theorems of Line and Surface Integrals (曲线与曲面积分的几个定理) (section 4)
Unit 7 Field Theory (场论) (section 1)
Unit 7 Field Theory (场论) (section 2)
Unit 7 Field Theory (场论) (section 3)
Unit 7 Field Theory (场论) (section 4)
章节测验5
Final Exam 期末考试
Final Exam
期末考试成绩
record_voice_over

Les intervenants

  • 陈酌
assistant

La plateforme

慕华(北京)网络技术有限公司旗下的学堂在线是免费公开的MOOC(大规模开放在线课程)平台,是教育部在线教育研究中心的研究交流和成果应用平台,致力于通过来自国内外一流名校开设的免费网络学习课程,为公众提供系统的高等教育,让每一个中国人都有机会享受优质教育资源。通过和清华大学在线教育研究中心、以及国内外知名大学的紧密合作,学堂在线将不断增加课程的种类和丰富程度。

Quelle note donnez-vous à cette ressource ?
Contenu
0/5
Plateforme
0/5
Animation
0/5