课程门户-章节详情

高等数学B下

高飞

1 Syllabus
- 1.1 Syllabus
2 第一单元
- 2.1 CH 6 Applications of Definite Integrals——Area
- 2.2 Applications of Definite Integrals: Volume
- 2.3 Applications of Definite Integrals: Volume
- 2.4 Exercises and Economics
- 2.5 Applications of Definite Integrals——arc length, surface Area; Exercise
- 2.6 CH7 Concepts for differential equations
3 第二单元
- 3.1 CH8 Concept of Difference equation, solution structure
- 3.2 First-Order Difference Equations
- 3.3 First-Order Difference Equations
- 3.4 Exercise
- 3.5 2nd-Order Difference Equations
- 3.6 2nd-Order Difference Equations
4 第三单元
- 4.1 First-Order Differential Equations
- 4.2 First-Order Differential Equations
- 4.3 First-Order Differential Equations-2nd
- 4.4 First-Order Differential Equations-3nd
- 4.5 Applications
- 4.6 Second-Order Differential Equations
5 第四单元
- 5.1 Second-Order Differential Equations with constant coefficients-i
- 5.2 Second-Order Differential Equations with constant coefficients-i
- 5.3 Second-Order Differential Equations with constant coefficients-ii
- 5.4 Second-Order Differential Equations with constant coefficients-ii
- 5.5 Applications
- 5.6 Exercise
6 第五单元
- 6.1 Cobweb medel
- 6.2 Exercise
- 6.3 CH9 Concepts of series
- 6.4 Concepts of series
- 6.5 Positive series
- 6.6 Positive series
7 第六单元
- 7.1 Absolute and Conditional Convergence
- 7.2 Absolute and Conditional Convergence
- 7.3 Exercise
- 7.4 Exercise
- 7.5 Series of functions, Taylor series
- 7.6 Series of functions, Taylor series
8 第七单元
- 8.1 Power series
- 8.2 Power series
- 8.3 Expansion as Taylor series
- 8.4 Expansion as Taylor series
- 8.5 Expansion inderectly
- 8.6 Expansion inderectly
9 第八单元
- 9.1 Exercise
- 9.2 CH10 Three-Dimensional Coordinate Systems
- 9.3 Three-Dimensional Coordinate Systems
- 9.4 Cylinders and revolution Surfaces
- 9.5 Cylinders and revolution Surfaces
- 9.6 Curves in Space
10 第九单元
- 10.1 Projection
- 10.2 Quadric Surfaces
- 10.3 Vectors
- 10.4 The Dot Product & Cross Product
- 10.5 The Dot Product & Cross Product
- 10.6 Lines and Planes in Space
11 第十单元
- 11.1 Lines and Planes in Space
- 11.2 Lines and Planes in Space
- 11.3 Exercise
- 11.4 Exercise
- 11.5 CH11 Concepts for Multi Variable functions
- 11.6 Continuity
12 第十一单元
- 12.1 Partial Derivatives
- 12.2 Partial Derivatives
- 12.3 cross elasticity
- 12.4 Perfect differential
- 12.5 Perfect differential
- 12.6 Exercise
13 第十二单元
- 13.1 The Chain Rule
- 13.2 The Chain Rule
- 13.3 Implicit Multi Variable functions
- 13.4 Implicit Multi Variable functions
- 13.5 Extreme Values
- 13.6 Extreme Values
14 第十三单元
- 14.1 Exercise
- 14.2 Exercise
- 14.3 CH12 Double Integrals’ properties
- 14.4 Double Integrals’ properties
- 14.5 Double and Iterated Integrals over Rectangles
- 14.6 Double and Iterated Integrals over Rectangles
15 第十四单元
- 15.1 Double Integrals in Polar Form
- 15.2 Double Integrals in Polar Form
- 15.3 Exercise
- 15.4 Line Integrals
- 15.5 Line Integrals
- 15.6 Exercise
16 第十五单元
- 16.1 Green Formula
- 16.2 Triple integrals
- 16.3 Triple integrals
- 16.4 Exercise

CH7 Concepts for differential equations

Syllabus

I. Current Chapter: CH 7 Differential equation (授课章节: 第七章常微分方程)

II. Requirements of the Chapter (本章节要求):

1) The concept of differential equation；微分方程的基本概念）

2) The seperable equation；（可分离变量的微分方程）

3) The equal-degree equation；（齐次方程）

4) The first-order linear differential equaton;(一阶线性微分方程）

5）Higher order differential equation；(高阶微分方程)

III．The Task本节课的要求:

1) Watching the Videos

2）Key Point知识要点

7.1 The concept of differential equation

3) Keynote 学习课件

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1 Basic concepts